List of Isma'ili imams in the context of "Muhammad al-Qaim Bi-Amrillah"

The Fatimid dynasty (Arabic: الفاطميون, romanized: al-Fāṭimiyyūn) was an Arab dynasty that ruled the Fatimid Caliphate, between 909 and 1171 CE. Descended from Fatima and Ali, and adhering to Isma'ili Shi'ism, they held the Isma'ili imamate, and were regarded as the rightful leaders of the Muslim community. The line of Nizari Isma'ili imams, represented today by the Aga Khans, claims descent from a branch of the Fatimids. The Alavi Bohras, predominantly based in Vadodara, also claim descent from the Fatimids.

The Fatimid dynasty emerged as the leaders of the clandestine early Isma'ili missionary movement (da'wa) in the ninth century CE, ostensibly acting on behalf of a hidden imam, implied at the time to be Muhammad ibn Isma'il. The Isma'ili da'wa spread widely across the Islamic world, then ruled by the Abbasid Caliphate. In 899, the future first Fatimid caliph, Abdallah, proclaimed himself to be the expected imam, causing a rift in the Isma'ili da'wa as the Qarmatians, who did not recognize his imamate, split off. In the meantime, Isma'ili agents had managed to conquer large parts of Yemen and Ifriqiya, as well as launch uprisings in Syria and Iraq. Fleeing Abbasid persecution to Ifriqiya, Abdallah proclaimed himself openly and established the Fatimid Caliphate in 909. From there, the Fatimid imam–caliphs extended their rule over most of the Maghreb as well as Sicily, before conquering Egypt in 969. Founding Cairo as their new capital, for the next two centuries, the Fatimids would be based in Egypt and identified with the country. At their height, the Fatimids claimed control or suzerainty over much of North Africa, Sicily, Egypt, the Levant, the Hejaz, Yemen, and Multan.

Muhammad ibn Isma'il al-Maktum (Arabic: مُحَمَّد ٱبْن إسْماعِيل ٱلْمَكتُوم, romanized: Muḥammad ibn Ismāʿīl al-Maktūm; c. 740–813) was the eldest son of Isma'il al-Mubarak and the seventh imam in Isma'ilism. When Isma'il died, his son Muhammad continued to live in Medina under the care of his grandfather Ja'far al-Sadiq until the latter's death in 148/765. After the death of Abd Allah al-Aftah, Muhammad was the most senior member of the Husaynid branch of the Alids. However, due to the rival group that recognised Musa al-Kazim as their imam, and the Abbasid Caliphate's persecution of all Alid partisans, Muhammad fled Medina with his sons for the east. For this reason, he was known as al-Maktum (lit. 'the hidden one'). He had two sons when living in Medina and then four more sons after his emigration, among whom was his successor Ahmad al-Wafi. Muhammad's descendants became the Fatimid dynasty that ruled Ifriqiya and later Egypt and much of the Levant, and founded Cairo.

Isma'il ibn Ja'far (Arabic: إسْماعِيل ٱبْن جَعْفَر ٱلْمُبَارَك, romanized: Ismāʿīl ibn Jaʿfar al-Mubārak) was the eldest son of Ja'far al-Sadiq and the sixth Imam in Isma'ilism. He carried the epithet of al-Mubarak, on the basis of which one of the earliest Isma'ili groups became designated as the Mubarakiyya.

It seems likely that the Mubarakiyya were originally supporters of Isma'il before acknowledging Muhammad ibn Isma'il as their Imam. At any rate, Mubarakiyya was thus one of the original names of the nascent Isma'iliyya, a term coined by later heresiographers. A faction of the Mubarakiyya later developed into the Fatimid Isma'ilis, upholding the continuity of the Imamate in the progeny of al-Mubarak, acknowledging al-Mubarak himself as their sixth Imam. This enumeration was subsequently retained by the various branches of the Isma'ili.

Abu Ali al-Mansur ibn al-Musta'li (Arabic: أبو علي المنصور بن المستعلي, romanized: Abū ʿAlī al-Manṣūr ibn al-Mustaʿlī; 31 December 1096 – 7 October 1130), better known by his regnal name al-Amir bi-Ahkam Allah (Arabic: الآمر بأحكام الله, romanized: al-Āmir bi-Aḥkām Allāh, lit. 'The Ruler Who Executes God's Decrees') was the tenth Fatimid caliph, ruling from 1101 to his death in 1130, and the 20th imam of the Musta'li Isma'ili branch of Shia Islam.

Al-Amir succeeded his father, al-Musta'li, at the age of five. For the first twenty years of his reign, al-Amir was a puppet of his uncle and father-in-law, the vizier al-Afdal Shahanshah, who ruled the Fatimid state and confined al-Amir, like al-Musta'li before him, to the palace. In December 1121, al-Afdal was murdered, officially by agents of the rival Nizari branch of Isma'ilism, although some medieval accounts blame al-Amir and al-Afdal's chief secretary, al-Ma'mun al-Bata'ihi, instead. Al-Amir and al-Bata'ihi moved quickly to forestall a succession by one of al-Afdal's sons, imprisoning them and moving the vast treasures al-Afdal had amassed into the caliphal palace. Al-Bata'ihi was appointed as the new vizier, but al-Amir took an increasing role in government, and was prominently featured in spectacular public ceremonies. Finally, in 1125, al-Amir dismissed and imprisoned al-Bata'ihi, ruling thenceforth without a vizier.