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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 (38 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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7168.2.a.a	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}-q^{7}-3q^{9}+4\beta q^{11}+3\beta q^{13}+\cdots$
7168.2.a.b	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2\beta q^{5}-q^{7}-3q^{9}-\beta q^{11}+2q^{17}+\cdots$
7168.2.a.c	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-2\beta q^{5}-q^{7}-q^{9}-2\beta q^{11}+\cdots$
7168.2.a.d	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-2\beta q^{5}-q^{7}-q^{9}+2\beta q^{11}+\cdots$
7168.2.a.e	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-q^{7}-q^{9}-2\beta q^{11}+2\beta q^{13}+\cdots$
7168.2.a.f	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+2\beta q^{5}-q^{7}-q^{9}+4\beta q^{11}+\cdots$
7168.2.a.g	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+2\beta q^{5}-q^{7}-q^{9}-2\beta q^{11}+\cdots$
7168.2.a.h	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2\beta q^{3}+\beta q^{5}-q^{7}+5q^{9}-4\beta q^{11}+\cdots$
7168.2.a.i	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2\beta q^{3}+2\beta q^{5}-q^{7}+5q^{9}+3\beta q^{11}+\cdots$
7168.2.a.j	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{5}+q^{7}-3q^{9}+4\beta q^{11}-3\beta q^{13}+\cdots$
7168.2.a.k	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2\beta q^{5}+q^{7}-3q^{9}+\beta q^{11}+2q^{17}+\cdots$
7168.2.a.l	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-2\beta q^{5}+q^{7}-q^{9}+4\beta q^{11}+\cdots$
7168.2.a.m	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-2\beta q^{5}+q^{7}-q^{9}-2\beta q^{11}+\cdots$
7168.2.a.n	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+q^{7}-q^{9}-2\beta q^{11}-2\beta q^{13}+\cdots$
7168.2.a.o	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+2\beta q^{5}+q^{7}-q^{9}-2\beta q^{11}+\cdots$
7168.2.a.p	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+2\beta q^{5}+q^{7}-q^{9}+2\beta q^{11}+\cdots$
7168.2.a.q	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2\beta q^{3}-2\beta q^{5}+q^{7}+5q^{9}+3\beta q^{11}+\cdots$
7168.2.a.r	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2\beta q^{3}-\beta q^{5}+q^{7}+5q^{9}-4\beta q^{11}+\cdots$
7168.2.a.s	$7168$	$2$	7168.a	1.a	$1$	$4$	$4$	$57.237$	4.4.4352.1	None	✓	$1$	$1$	$0$	$0$	$-4$	$-4$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-\beta _{1}+\beta _{3})q^{3}+(-1-\beta _{2}+\beta _{3})q^{5}+\cdots$
7168.2.a.t	$7168$	$2$	7168.a	1.a	$1$	$4$	$4$	$57.237$	4.4.4352.1	None	✓	$1$	$1$	$0$	$0$	$-4$	$4$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{1}-\beta _{3})q^{3}+(-1-\beta _{2}+\beta _{3})q^{5}+\cdots$
7168.2.a.u	$7168$	$2$	7168.a	1.a	$1$	$4$	$4$	$57.237$	$\Q(\zeta_{24})^+$	None	✓	$2$	$0$	$0$	$0$	$0$	$-4$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{3}+(\beta _{1}-\beta _{2})q^{5}-q^{7}+3q^{9}+\cdots$
7168.2.a.v	$7168$	$2$	7168.a	1.a	$1$	$4$	$4$	$57.237$	$\Q(\zeta_{24})^+$	None	✓	$2$	$1$	$0$	$0$	$0$	$4$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+q^{7}+3q^{9}+\cdots$
7168.2.a.w	$7168$	$2$	7168.a	1.a	$1$	$4$	$4$	$57.237$	4.4.4352.1	None	✓	$1$	$0$	$0$	$0$	$4$	$-4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{1}-\beta _{3})q^{3}+(1+\beta _{2}-\beta _{3})q^{5}-q^{7}+\cdots$
7168.2.a.x	$7168$	$2$	7168.a	1.a	$1$	$4$	$4$	$57.237$	4.4.4352.1	None	✓	$1$	$0$	$0$	$0$	$4$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-\beta _{1}+\beta _{3})q^{3}+(1+\beta _{2}-\beta _{3})q^{5}+\cdots$
7168.2.a.y	$7168$	$2$	7168.a	1.a	$1$	$6$	$6$	$57.237$	6.6.12781568.1	None	✓	$2$	$1$	$0$	$0$	$0$	$-6$	$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	$q-\beta _{4}q^{3}+(\beta _{2}+\beta _{4})q^{5}-q^{7}+(3+\beta _{5})q^{9}+\cdots$
7168.2.a.z	$7168$	$2$	7168.a	1.a	$1$	$6$	$6$	$57.237$	6.6.12781568.1	None	✓	$2$	$0$	$0$	$0$	$0$	$6$	$+$	$-$	$-$	$2^{4}$	$\mathrm{SU}(2)$	$q-\beta _{4}q^{3}+(-\beta _{2}-\beta _{4})q^{5}+q^{7}+(3+\cdots)q^{9}+\cdots$
7168.2.a.ba	$7168$	$2$	7168.a	1.a	$1$	$8$	$8$	$57.237$	8.8.9433055232.1	None	✓	$1$	$1$	$0$	$0$	$-8$	$-8$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{5}q^{3}+(-1-\beta _{2})q^{5}-q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots$
7168.2.a.bb	$7168$	$2$	7168.a	1.a	$1$	$8$	$8$	$57.237$	8.8.9433055232.1	None	✓	$1$	$1$	$0$	$0$	$-8$	$8$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{5}q^{3}+(-1-\beta _{2})q^{5}+q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots$
7168.2.a.bc	$7168$	$2$	7168.a	1.a	$1$	$8$	$8$	$57.237$	8.8.$\cdots$.1	None	✓	$2$	$1$	$0$	$0$	$0$	$-8$	$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	$q-\beta _{7}q^{3}-\beta _{3}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots$
7168.2.a.bd	$7168$	$2$	7168.a	1.a	$1$	$8$	$8$	$57.237$	8.8.$\cdots$.1	None	✓	$2$	$1$	$0$	$0$	$0$	$8$	$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	$q-\beta _{7}q^{3}+\beta _{3}q^{5}+q^{7}+(1+\beta _{2})q^{9}+\cdots$
7168.2.a.be	$7168$	$2$	7168.a	1.a	$1$	$8$	$8$	$57.237$	8.8.9433055232.1	None	✓	$1$	$0$	$0$	$0$	$8$	$-8$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{5}q^{3}+(1+\beta _{2})q^{5}-q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots$
7168.2.a.bf	$7168$	$2$	7168.a	1.a	$1$	$8$	$8$	$57.237$	8.8.9433055232.1	None	✓	$1$	$0$	$0$	$0$	$8$	$8$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{5}q^{3}+(1+\beta _{2})q^{5}+q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots$
7168.2.a.bg	$7168$	$2$	7168.a	1.a	$1$	$12$	$12$	$57.237$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$1$	$0$	$-8$	$0$	$-12$	$+$	$+$	$+$	$2^{7}$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}+\beta _{5}q^{5}-q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$
7168.2.a.bh	$7168$	$2$	7168.a	1.a	$1$	$12$	$12$	$57.237$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$1$	$0$	$-8$	$0$	$12$	$-$	$-$	$+$	$2^{7}$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}-\beta _{5}q^{5}+q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$
7168.2.a.bi	$7168$	$2$	7168.a	1.a	$1$	$12$	$12$	$57.237$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$2$	$0$	$0$	$0$	$0$	$-12$	$-$	$+$	$-$	$2^{7}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{2}-\beta _{4})q^{5}-q^{7}+\cdots$
7168.2.a.bj	$7168$	$2$	7168.a	1.a	$1$	$12$	$12$	$57.237$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$2$	$0$	$0$	$0$	$0$	$12$	$+$	$-$	$-$	$2^{7}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+(\beta _{1}+\beta _{2}+\beta _{4})q^{5}+q^{7}+\cdots$
7168.2.a.bk	$7168$	$2$	7168.a	1.a	$1$	$12$	$12$	$57.237$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$0$	$0$	$8$	$0$	$-12$	$-$	$+$	$-$	$2^{7}$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}-\beta _{5}q^{5}-q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$
7168.2.a.bl	$7168$	$2$	7168.a	1.a	$1$	$12$	$12$	$57.237$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$0$	$0$	$8$	$0$	$12$	$+$	$-$	$-$	$2^{7}$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}+\beta _{5}q^{5}+q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.