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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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 (10 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	37	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2664.2.a.a	$2664$	$2$	2664.a	1.a	$1$	$1$	$1$	$21.272$	\(\Q\)	None	✓				888.2.a.d	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+2q^{13}+6q^{23}+11q^{25}+\cdots\)
2664.2.a.b	$2664$	$2$	2664.a	1.a	$1$	$1$	$1$	$21.272$	\(\Q\)	None	✓	✓			2664.2.a.b	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+q^{7}-5q^{11}+3q^{13}-q^{17}+\cdots\)
2664.2.a.c	$2664$	$2$	2664.a	1.a	$1$	$1$	$1$	$21.272$	\(\Q\)	None	✓				296.2.a.b	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{7}+3q^{11}-2q^{17}-2q^{19}+6q^{23}+\cdots\)
2664.2.a.d	$2664$	$2$	2664.a	1.a	$1$	$1$	$1$	$21.272$	\(\Q\)	None	✓				888.2.a.b	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-6q^{13}+4q^{17}+4q^{19}-6q^{23}+\cdots\)
2664.2.a.f	$2664$	$2$	2664.a	1.a	$1$	$1$	$1$	$21.272$	\(\Q\)	None	✓				296.2.a.a	$1$	$1$	\(0\)	\(0\)	\(2\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+q^{7}-q^{11}-6q^{13}+4q^{17}+\cdots\)
2664.2.a.i	$2664$	$2$	2664.a	1.a	$1$	$2$	$2$	$21.272$	\(\Q(\sqrt{3}) \)	None	✓				888.2.a.e	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{5}-2q^{7}+(2-2\beta )q^{11}+\cdots\)
2664.2.a.k	$2664$	$2$	2664.a	1.a	$1$	$2$	$2$	$21.272$	\(\Q(\sqrt{41}) \)	None	✓		✓		888.2.a.h	$1$	$1$	\(0\)	\(0\)	\(0\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{7}+(-1-\beta )q^{11}+(1-\beta )q^{13}+\cdots\)
2664.2.a.n	$2664$	$2$	2664.a	1.a	$1$	$3$	$3$	$21.272$	3.3.148.1	None	✓	✓	✓		2664.2.a.n	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(4\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{2})q^{5}+(2-\beta _{1}-\beta _{2})q^{7}+\cdots\)
2664.2.a.o	$2664$	$2$	2664.a	1.a	$1$	$3$	$3$	$21.272$	3.3.568.1	None	✓		✓		888.2.a.j	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2})q^{5}+\beta _{2}q^{7}+(-2+\beta _{2})q^{11}+\cdots\)
2664.2.a.s	$2664$	$2$	2664.a	1.a	$1$	$5$	$5$	$21.272$	5.5.935504.1	None	✓	✓	✓	✓	2664.2.a.s	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-7\)		$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}+(-1+\beta _{4})q^{7}+(-1-\beta _{2}+\cdots)q^{11}+\cdots\)

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