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Some interesting Sato-Tate groups
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Sato-Tate group labels
Label
Description
1.2.A.1.1a
Sato-Tate group of a non-CM elliptic curve over a number field
1.2.B.1.1a
Sato-Tate group of a CM elliptic curve over a number field containing the CM field
1.2.B.2.1a
Sato-Tate group of a CM elliptic curve over a number field not containing the CM field
1.4.A.1.1a
Sato-Tate group of a generic abelian surface over a number field
1.4.F.48.48a
Largest component group among Sato-Tate groups of an abelian surface