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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (3 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		100109	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
100109.2.a.a	$100109$	$2$	100109.a	1.a	$1$	$1$	$1$	$799.374$	\(\Q\)	None	✓	✓			100109.2.a.a	$1$		\(0\)	\(-2\)	\(1\)	\(-1\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{4}+q^{5}-q^{7}+q^{9}+4q^{11}+\cdots\)
100109.2.a.b	$100109$	$2$	100109.a	1.a	$1$	$4096$	$4096$	$799.374$		None	✓	✓	✓	✓	100109.2.a.b	$1$		\(-42\)	\(-139\)	\(-72\)	\(-201\)		$+$	$+$		$\mathrm{SU}(2)$
100109.2.a.c	$100109$	$2$	100109.a	1.a	$1$	$4245$	$4245$	$799.374$		None	✓	✓	✓		100109.2.a.c	$1$		\(40\)	\(141\)	\(65\)	\(200\)		$-$	$-$		$\mathrm{SU}(2)$

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