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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	\(Nk^2\)	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (16 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2496.2.a.a	$2496$	$2$	2496.a	1.a	$1$	$1$	$1$	$19.931$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-4\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{5}+q^{9}-2q^{11}+q^{13}+\cdots\)
2496.2.a.c	$2496$	$2$	2496.a	1.a	$1$	$1$	$1$	$19.931$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{9}-q^{13}+2q^{15}+\cdots\)
2496.2.a.h	$2496$	$2$	2496.a	1.a	$1$	$1$	$1$	$19.931$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{7}+q^{9}-q^{13}-6q^{17}+\cdots\)
2496.2.a.j	$2496$	$2$	2496.a	1.a	$1$	$1$	$1$	$19.931$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+4q^{7}+q^{9}-2q^{11}+q^{13}+\cdots\)
2496.2.a.l	$2496$	$2$	2496.a	1.a	$1$	$1$	$1$	$19.931$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+q^{9}+4q^{11}-q^{13}+\cdots\)
2496.2.a.p	$2496$	$2$	2496.a	1.a	$1$	$1$	$1$	$19.931$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{5}+q^{9}+2q^{11}+q^{13}+\cdots\)
2496.2.a.r	$2496$	$2$	2496.a	1.a	$1$	$1$	$1$	$19.931$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}-2q^{7}+q^{9}-2q^{11}+\cdots\)
2496.2.a.s	$2496$	$2$	2496.a	1.a	$1$	$1$	$1$	$19.931$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{9}-q^{13}-2q^{15}+\cdots\)
2496.2.a.u	$2496$	$2$	2496.a	1.a	$1$	$1$	$1$	$19.931$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{7}+q^{9}+2q^{11}+q^{13}+\cdots\)
2496.2.a.v	$2496$	$2$	2496.a	1.a	$1$	$1$	$1$	$19.931$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{7}+q^{9}-q^{13}-6q^{17}+\cdots\)
2496.2.a.w	$2496$	$2$	2496.a	1.a	$1$	$1$	$1$	$19.931$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{7}+q^{9}-q^{13}+2q^{17}+\cdots\)
2496.2.a.y	$2496$	$2$	2496.a	1.a	$1$	$1$	$1$	$19.931$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{7}+q^{9}-4q^{11}-q^{13}+\cdots\)
2496.2.a.z	$2496$	$2$	2496.a	1.a	$1$	$1$	$1$	$19.931$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(2\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-2q^{7}+q^{9}-6q^{11}+\cdots\)
2496.2.a.be	$2496$	$2$	2496.a	1.a	$1$	$2$	$2$	$19.931$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(2\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1-\beta )q^{5}+(1+\beta )q^{7}+q^{9}+\cdots\)
2496.2.a.bg	$2496$	$2$	2496.a	1.a	$1$	$2$	$2$	$19.931$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(-6\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+(1+\beta )q^{5}+(-3+\beta )q^{7}+q^{9}+\cdots\)
2496.2.a.bk	$2496$	$2$	2496.a	1.a	$1$	$3$	$3$	$19.931$	3.3.148.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-2\)	\(0\)		$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1-\beta _{1})q^{5}-\beta _{2}q^{7}+q^{9}+\cdots\)

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