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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 (28 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	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3264.2.a.b	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-3$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-3q^{5}+q^{9}-q^{11}-3q^{13}+\cdots$
3264.2.a.c	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$2$	$0$	$-1$	$-2$	$-4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots$
3264.2.a.e	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-2q^{7}+q^{9}+5q^{11}+q^{13}+\cdots$
3264.2.a.f	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}-5q^{11}+5q^{13}+\cdots$
3264.2.a.j	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-4q^{7}+q^{9}+3q^{11}-3q^{13}+\cdots$
3264.2.a.l	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+2q^{7}+q^{9}+5q^{11}+5q^{13}+\cdots$
3264.2.a.m	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$2$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots$
3264.2.a.n	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$3$	$-4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{5}-4q^{7}+q^{9}-q^{11}+5q^{13}+\cdots$
3264.2.a.p	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$4$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{5}+2q^{7}+q^{9}+6q^{13}+\cdots$
3264.2.a.q	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-3$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{5}+q^{9}+q^{11}-3q^{13}+\cdots$
3264.2.a.s	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots$
3264.2.a.t	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-2$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots$
3264.2.a.u	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}+5q^{11}+5q^{13}+\cdots$
3264.2.a.y	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{7}+q^{9}+6q^{13}-q^{17}+\cdots$
3264.2.a.ba	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+2q^{7}+q^{9}-q^{11}+q^{13}+\cdots$
3264.2.a.bb	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+4q^{7}+q^{9}-3q^{11}-3q^{13}+\cdots$
3264.2.a.bc	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots$
3264.2.a.bd	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$3$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{5}+2q^{7}+q^{9}+3q^{11}+\cdots$
3264.2.a.be	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$3$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{5}+4q^{7}+q^{9}+q^{11}+5q^{13}+\cdots$
3264.2.a.bf	$3264$	$2$	3264.a	1.a	$1$	$1$	$1$	$26.063$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$4$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{5}-2q^{7}+q^{9}+6q^{13}+\cdots$
3264.2.a.bi	$3264$	$2$	3264.a	1.a	$1$	$2$	$2$	$26.063$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$-2$	$1$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+\beta q^{5}+(2-2\beta )q^{7}+q^{9}+(-4+\cdots)q^{11}+\cdots$
3264.2.a.bj	$3264$	$2$	3264.a	1.a	$1$	$2$	$2$	$26.063$	$\Q(\sqrt{57}) $	None	✓	$1$	$0$	$0$	$-2$	$1$	$8$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+\beta q^{5}+4q^{7}+q^{9}+(2-\beta )q^{11}+\cdots$
3264.2.a.bm	$3264$	$2$	3264.a	1.a	$1$	$2$	$2$	$26.063$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$0$	$2$	$-1$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-\beta q^{5}-2q^{7}+q^{9}-\beta q^{11}+\cdots$
3264.2.a.bn	$3264$	$2$	3264.a	1.a	$1$	$2$	$2$	$26.063$	$\Q(\sqrt{57}) $	None	✓	$1$	$0$	$0$	$2$	$1$	$-8$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+\beta q^{5}-4q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots$
3264.2.a.bo	$3264$	$2$	3264.a	1.a	$1$	$2$	$2$	$26.063$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$2$	$1$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+\beta q^{5}+(-2+2\beta )q^{7}+q^{9}+\cdots$
3264.2.a.bp	$3264$	$2$	3264.a	1.a	$1$	$2$	$2$	$26.063$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$2$	$3$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(1+\beta )q^{5}+(-2+2\beta )q^{7}+q^{9}+\cdots$
3264.2.a.bq	$3264$	$2$	3264.a	1.a	$1$	$3$	$3$	$26.063$	3.3.316.1	None	✓	$1$	$0$	$0$	$-3$	$-3$	$2$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta _{1})q^{5}+(1+\beta _{1}+\beta _{2})q^{7}+\cdots$
3264.2.a.br	$3264$	$2$	3264.a	1.a	$1$	$3$	$3$	$26.063$	3.3.229.1	None	✓	$1$	$0$	$0$	$-3$	$-1$	$6$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{3}+\beta _{1}q^{5}+2q^{7}+q^{9}+(1+\beta _{1}+\cdots)q^{11}+\cdots$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.