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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 (46 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	11	29	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7018.2.a.a	$7018$	$2$	7018.a	1.a	$1$	$1$	$1$	$56.039$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$1$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+2q^{7}+\cdots$
7018.2.a.b	$7018$	$2$	7018.a	1.a	$1$	$1$	$1$	$56.039$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-2$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}+4q^{7}-q^{8}-3q^{9}+\cdots$
7018.2.a.c	$7018$	$2$	7018.a	1.a	$1$	$1$	$1$	$56.039$	$\Q$	None	✓	$1$	$0$	$1$	$-3$	$-3$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-3q^{3}+q^{4}-3q^{5}-3q^{6}+2q^{7}+\cdots$
7018.2.a.d	$7018$	$2$	7018.a	1.a	$1$	$1$	$1$	$56.039$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-2$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{5}-4q^{7}+q^{8}-3q^{9}+\cdots$
7018.2.a.e	$7018$	$2$	7018.a	1.a	$1$	$2$	$2$	$56.039$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$-2$	$-3$	$-4$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1-\beta )q^{3}+q^{4}-2q^{5}+(1+\cdots)q^{6}+\cdots$
7018.2.a.f	$7018$	$2$	7018.a	1.a	$1$	$2$	$2$	$56.039$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$-3$	$-2$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1-\beta )q^{3}+q^{4}-2\beta q^{5}+\cdots$
7018.2.a.g	$7018$	$2$	7018.a	1.a	$1$	$2$	$2$	$56.039$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$-3$	$-2$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1-\beta )q^{3}+q^{4}+(-2+2\beta )q^{5}+\cdots$
7018.2.a.h	$7018$	$2$	7018.a	1.a	$1$	$2$	$2$	$56.039$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$-1$	$-4$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta q^{3}+q^{4}+(-1-2\beta )q^{5}+\cdots$
7018.2.a.i	$7018$	$2$	7018.a	1.a	$1$	$2$	$2$	$56.039$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$-1$	$2$	$3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta q^{3}+q^{4}+2\beta q^{5}+\beta q^{6}+\cdots$
7018.2.a.j	$7018$	$2$	7018.a	1.a	$1$	$2$	$2$	$56.039$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$3$	$-6$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta )q^{3}+q^{4}-3q^{5}+(-1+\cdots)q^{6}+\cdots$
7018.2.a.k	$7018$	$2$	7018.a	1.a	$1$	$2$	$2$	$56.039$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-3$	$-2$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1-\beta )q^{3}+q^{4}-2\beta q^{5}+\cdots$
7018.2.a.l	$7018$	$2$	7018.a	1.a	$1$	$2$	$2$	$56.039$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-3$	$0$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1-\beta )q^{3}+q^{4}+(-1-\beta )q^{6}+\cdots$
7018.2.a.m	$7018$	$2$	7018.a	1.a	$1$	$2$	$2$	$56.039$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-1$	$-4$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta q^{3}+q^{4}+(-1-2\beta )q^{5}+\cdots$
7018.2.a.n	$7018$	$2$	7018.a	1.a	$1$	$2$	$2$	$56.039$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-1$	$2$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta q^{3}+q^{4}+2\beta q^{5}-\beta q^{6}+\cdots$
7018.2.a.o	$7018$	$2$	7018.a	1.a	$1$	$2$	$2$	$56.039$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$1$	$2$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}+(2-2\beta )q^{5}+\beta q^{6}+\cdots$
7018.2.a.p	$7018$	$2$	7018.a	1.a	$1$	$2$	$2$	$56.039$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$3$	$-6$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1+\beta )q^{3}+q^{4}-3q^{5}+(1+\beta )q^{6}+\cdots$
7018.2.a.q	$7018$	$2$	7018.a	1.a	$1$	$3$	$3$	$56.039$	3.3.169.1	None	✓	$1$	$1$	$-3$	$-5$	$2$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-2+\beta _{1})q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots$
7018.2.a.r	$7018$	$2$	7018.a	1.a	$1$	$3$	$3$	$56.039$	3.3.321.1	None	✓	$1$	$1$	$-3$	$-1$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+(\beta _{1}+\beta _{2})q^{5}+\cdots$
7018.2.a.s	$7018$	$2$	7018.a	1.a	$1$	$3$	$3$	$56.039$	3.3.169.1	None	✓	$1$	$1$	$3$	$-5$	$2$	$4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-2+\beta _{1})q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots$
7018.2.a.t	$7018$	$2$	7018.a	1.a	$1$	$3$	$3$	$56.039$	3.3.321.1	None	✓	$1$	$1$	$3$	$-1$	$0$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}+(\beta _{1}+\beta _{2})q^{5}+\cdots$
7018.2.a.u	$7018$	$2$	7018.a	1.a	$1$	$4$	$4$	$56.039$	4.4.4752.1	None	✓	$1$	$1$	$-4$	$2$	$-6$	$10$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}+(-1+\beta _{2}-\beta _{3})q^{5}+\cdots$
7018.2.a.v	$7018$	$2$	7018.a	1.a	$1$	$4$	$4$	$56.039$	4.4.35312.1	None	✓	$1$	$1$	$-4$	$2$	$0$	$-6$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1-\beta _{1})q^{3}+q^{4}-\beta _{2}q^{5}+(-1+\cdots)q^{6}+\cdots$
7018.2.a.w	$7018$	$2$	7018.a	1.a	$1$	$4$	$4$	$56.039$	4.4.5744.1	None	✓	$1$	$0$	$-4$	$4$	$2$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta _{3})q^{3}+q^{4}+(\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$
7018.2.a.x	$7018$	$2$	7018.a	1.a	$1$	$4$	$4$	$56.039$	4.4.4752.1	None	✓	$1$	$1$	$4$	$2$	$-6$	$-10$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}+(-1+\beta _{2}-\beta _{3})q^{5}+\cdots$
7018.2.a.y	$7018$	$2$	7018.a	1.a	$1$	$4$	$4$	$56.039$	4.4.61504.1	None	✓	$1$	$1$	$4$	$2$	$-4$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}+(-1-\beta _{2})q^{5}+\cdots$
7018.2.a.z	$7018$	$2$	7018.a	1.a	$1$	$5$	$5$	$56.039$	5.5.4557264.1	None	✓	$1$	$0$	$5$	$4$	$4$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{3})q^{5}+\cdots$
7018.2.a.ba	$7018$	$2$	7018.a	1.a	$1$	$6$	$6$	$56.039$	6.6.19452096.1	None	✓	$1$	$1$	$-6$	$-6$	$-2$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}-\beta _{4}q^{5}+\cdots$
7018.2.a.bb	$7018$	$2$	7018.a	1.a	$1$	$6$	$6$	$56.039$	6.6.370008144.1	None	✓	$1$	$1$	$-6$	$-3$	$-4$	$4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots$
7018.2.a.bc	$7018$	$2$	7018.a	1.a	$1$	$6$	$6$	$56.039$	6.6.233763408.1	None	✓	$1$	$0$	$-6$	$3$	$8$	$-4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta _{3})q^{3}+q^{4}+(1+\beta _{1})q^{5}+\cdots$
7018.2.a.bd	$7018$	$2$	7018.a	1.a	$1$	$6$	$6$	$56.039$	6.6.527151533.1	None	✓	$1$	$0$	$-6$	$4$	$6$	$-5$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1+\beta _{3})q^{5}+\cdots$
7018.2.a.be	$7018$	$2$	7018.a	1.a	$1$	$6$	$6$	$56.039$	6.6.171485053.1	None	✓	$1$	$0$	$-6$	$4$	$6$	$-3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1-\beta _{3})q^{3}+q^{4}+(1-\beta _{5})q^{5}+\cdots$
7018.2.a.bf	$7018$	$2$	7018.a	1.a	$1$	$6$	$6$	$56.039$	6.6.19452096.1	None	✓	$1$	$1$	$6$	$-6$	$-2$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}-\beta _{4}q^{5}+\cdots$
7018.2.a.bg	$7018$	$2$	7018.a	1.a	$1$	$6$	$6$	$56.039$	6.6.370008144.1	None	✓	$1$	$1$	$6$	$-3$	$-4$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots$
7018.2.a.bh	$7018$	$2$	7018.a	1.a	$1$	$6$	$6$	$56.039$	6.6.233763408.1	None	✓	$1$	$0$	$6$	$3$	$8$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1+\beta _{3})q^{3}+q^{4}+(1+\beta _{1})q^{5}+\cdots$
7018.2.a.bi	$7018$	$2$	7018.a	1.a	$1$	$6$	$6$	$56.039$	6.6.171485053.1	None	✓	$1$	$0$	$6$	$4$	$6$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1-\beta _{3})q^{3}+q^{4}+(1-\beta _{5})q^{5}+\cdots$
7018.2.a.bj	$7018$	$2$	7018.a	1.a	$1$	$6$	$6$	$56.039$	6.6.527151533.1	None	✓	$1$	$0$	$6$	$4$	$6$	$5$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1+\beta _{3})q^{5}+\cdots$
7018.2.a.bk	$7018$	$2$	7018.a	1.a	$1$	$8$	$8$	$56.039$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$0$	$-8$	$2$	$-5$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}+(-1-\beta _{4}+\beta _{5}+\cdots)q^{5}+\cdots$
7018.2.a.bl	$7018$	$2$	7018.a	1.a	$1$	$8$	$8$	$56.039$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$1$	$8$	$2$	$-5$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}+(-1-\beta _{4}+\beta _{5}+\cdots)q^{5}+\cdots$
7018.2.a.bm	$7018$	$2$	7018.a	1.a	$1$	$10$	$10$	$56.039$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$-10$	$-1$	$-5$	$5$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+(-1-\beta _{9})q^{5}+\cdots$
7018.2.a.bn	$7018$	$2$	7018.a	1.a	$1$	$10$	$10$	$56.039$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$1$	$10$	$-1$	$-5$	$-5$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1-\beta _{9})q^{5}+\cdots$
7018.2.a.bo	$7018$	$2$	7018.a	1.a	$1$	$12$	$12$	$56.039$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$0$	$-12$	$8$	$12$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{9})q^{5}+\cdots$
7018.2.a.bp	$7018$	$2$	7018.a	1.a	$1$	$12$	$12$	$56.039$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$0$	$12$	$8$	$12$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{9})q^{5}+\cdots$
7018.2.a.bq	$7018$	$2$	7018.a	1.a	$1$	$16$	$16$	$56.039$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	✓	$1$	$1$	$-16$	$-1$	$1$	$-10$	$+$	$-$	$-$	$+$	$5$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{14}q^{5}+\beta _{1}q^{6}+\cdots$
7018.2.a.br	$7018$	$2$	7018.a	1.a	$1$	$16$	$16$	$56.039$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	✓	$1$	$0$	$16$	$-1$	$1$	$10$	$-$	$+$	$+$	$-$	$5$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{14}q^{5}-\beta _{1}q^{6}+\cdots$
7018.2.a.bs	$7018$	$2$	7018.a	1.a	$1$	$18$	$18$	$56.039$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	$1$	$1$	$-18$	$-2$	$5$	$-8$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{5}q^{5}+\beta _{1}q^{6}+\cdots$
7018.2.a.bt	$7018$	$2$	7018.a	1.a	$1$	$18$	$18$	$56.039$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	$1$	$0$	$18$	$-2$	$5$	$8$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{5}q^{5}-\beta _{1}q^{6}+\cdots$

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Elliptic curves over $\Q$
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Genus 2 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.