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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 (36 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	5	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3610.2.a.a	$3610$	$2$	3610.a	1.a	$1$	$1$	$1$	$28.826$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots$
3610.2.a.b	$3610$	$2$	3610.a	1.a	$1$	$1$	$1$	$28.826$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$1$	$-1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
3610.2.a.c	$3610$	$2$	3610.a	1.a	$1$	$1$	$1$	$28.826$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}-3q^{9}+\cdots$
3610.2.a.d	$3610$	$2$	3610.a	1.a	$1$	$1$	$1$	$28.826$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$-3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots$
3610.2.a.e	$3610$	$2$	3610.a	1.a	$1$	$1$	$1$	$28.826$	$\Q$	None	✓	$1$	$0$	$-1$	$3$	$-1$	$-5$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+3q^{3}+q^{4}-q^{5}-3q^{6}-5q^{7}+\cdots$
3610.2.a.f	$3610$	$2$	3610.a	1.a	$1$	$1$	$1$	$28.826$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$1$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots$
3610.2.a.g	$3610$	$2$	3610.a	1.a	$1$	$1$	$1$	$28.826$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-3q^{9}+\cdots$
3610.2.a.h	$3610$	$2$	3610.a	1.a	$1$	$1$	$1$	$28.826$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
3610.2.a.i	$3610$	$2$	3610.a	1.a	$1$	$1$	$1$	$28.826$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots$
3610.2.a.j	$3610$	$2$	3610.a	1.a	$1$	$2$	$2$	$28.826$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$-3$	$2$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1-\beta )q^{3}+q^{4}+q^{5}+(1+\cdots)q^{6}+\cdots$
3610.2.a.k	$3610$	$2$	3610.a	1.a	$1$	$2$	$2$	$28.826$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$-2$	$-1$	$2$	$5$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}+(3+\cdots)q^{7}+\cdots$
3610.2.a.l	$3610$	$2$	3610.a	1.a	$1$	$2$	$2$	$28.826$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$1$	$-2$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-q^{8}+\cdots$
3610.2.a.m	$3610$	$2$	3610.a	1.a	$1$	$2$	$2$	$28.826$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-2$	$1$	$-2$	$3$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(2+\cdots)q^{7}+\cdots$
3610.2.a.n	$3610$	$2$	3610.a	1.a	$1$	$2$	$2$	$28.826$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$3$	$-2$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots$
3610.2.a.o	$3610$	$2$	3610.a	1.a	$1$	$2$	$2$	$28.826$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$3$	$2$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
3610.2.a.p	$3610$	$2$	3610.a	1.a	$1$	$2$	$2$	$28.826$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-3$	$-2$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1-\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots$
3610.2.a.q	$3610$	$2$	3610.a	1.a	$1$	$2$	$2$	$28.826$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$-3$	$2$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
3610.2.a.r	$3610$	$2$	3610.a	1.a	$1$	$2$	$2$	$28.826$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-1$	$-2$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+q^{8}+\cdots$
3610.2.a.s	$3610$	$2$	3610.a	1.a	$1$	$2$	$2$	$28.826$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$2$	$-1$	$-2$	$3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(2+\cdots)q^{7}+\cdots$
3610.2.a.t	$3610$	$2$	3610.a	1.a	$1$	$2$	$2$	$28.826$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$2$	$1$	$2$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}+q^{5}+\beta q^{6}-\beta q^{7}+\cdots$
3610.2.a.u	$3610$	$2$	3610.a	1.a	$1$	$2$	$2$	$28.826$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$2$	$1$	$2$	$5$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}+q^{5}+\beta q^{6}+(3+\cdots)q^{7}+\cdots$
3610.2.a.v	$3610$	$2$	3610.a	1.a	$1$	$2$	$2$	$28.826$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$3$	$2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1+\beta )q^{3}+q^{4}+q^{5}+(1+\beta )q^{6}+\cdots$
3610.2.a.w	$3610$	$2$	3610.a	1.a	$1$	$3$	$3$	$28.826$	$\Q(\zeta_{18})^+$	None	✓	$1$	$1$	$-3$	$0$	$3$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
3610.2.a.x	$3610$	$2$	3610.a	1.a	$1$	$3$	$3$	$28.826$	$\Q(\zeta_{18})^+$	None	✓	$1$	$1$	$3$	$0$	$3$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
3610.2.a.y	$3610$	$2$	3610.a	1.a	$1$	$4$	$4$	$28.826$	4.4.5225.1	None	✓	$1$	$1$	$-4$	$-2$	$4$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{3}q^{3}+q^{4}+q^{5}+\beta _{3}q^{6}+\cdots$
3610.2.a.z	$3610$	$2$	3610.a	1.a	$1$	$4$	$4$	$28.826$	$\Q(\zeta_{20})^+$	None	✓	$1$	$0$	$-4$	$4$	$4$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
3610.2.a.ba	$3610$	$2$	3610.a	1.a	$1$	$4$	$4$	$28.826$	$\Q(\zeta_{20})^+$	None	✓	$1$	$1$	$4$	$-4$	$4$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
3610.2.a.bb	$3610$	$2$	3610.a	1.a	$1$	$4$	$4$	$28.826$	4.4.5225.1	None	✓	$1$	$0$	$4$	$2$	$4$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{3}q^{3}+q^{4}+q^{5}+\beta _{3}q^{6}+\cdots$
3610.2.a.bc	$3610$	$2$	3610.a	1.a	$1$	$6$	$6$	$28.826$	6.6.15536448.1	None	✓	$1$	$1$	$-6$	$0$	$-6$	$-6$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
3610.2.a.bd	$3610$	$2$	3610.a	1.a	$1$	$6$	$6$	$28.826$	6.6.23153769.1	None	✓	$1$	$0$	$-6$	$0$	$-6$	$6$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
3610.2.a.be	$3610$	$2$	3610.a	1.a	$1$	$6$	$6$	$28.826$	6.6.15536448.1	None	✓	$1$	$1$	$6$	$0$	$-6$	$-6$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
3610.2.a.bf	$3610$	$2$	3610.a	1.a	$1$	$6$	$6$	$28.826$	6.6.23153769.1	None	✓	$1$	$0$	$6$	$0$	$-6$	$6$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
3610.2.a.bg	$3610$	$2$	3610.a	1.a	$1$	$8$	$8$	$28.826$	8.8.$\cdots$.1	None	✓	$1$	$1$	$-8$	$-6$	$-8$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}-q^{5}+(1+\cdots)q^{6}+\cdots$
3610.2.a.bh	$3610$	$2$	3610.a	1.a	$1$	$8$	$8$	$28.826$	8.8.$\cdots$.1	None	✓	$1$	$0$	$8$	$6$	$-8$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1-\beta _{1})q^{3}+q^{4}-q^{5}+(1-\beta _{1}+\cdots)q^{6}+\cdots$
3610.2.a.bi	$3610$	$2$	3610.a	1.a	$1$	$9$	$9$	$28.826$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$0$	$-9$	$0$	$9$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$
3610.2.a.bj	$3610$	$2$	3610.a	1.a	$1$	$9$	$9$	$28.826$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$0$	$9$	$0$	$9$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$

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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.