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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 (31 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	13	29	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6032.2.a.a	$6032$	$2$	6032.a	1.a	$1$	$1$	$1$	$48.166$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$-2$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-2q^{5}-2q^{7}+q^{9}+4q^{11}+\cdots$
6032.2.a.b	$6032$	$2$	6032.a	1.a	$1$	$1$	$1$	$48.166$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-3$	$3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-3q^{5}+3q^{7}-2q^{9}+4q^{11}+\cdots$
6032.2.a.c	$6032$	$2$	6032.a	1.a	$1$	$1$	$1$	$48.166$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}-2q^{9}+6q^{11}+q^{13}+\cdots$
6032.2.a.d	$6032$	$2$	6032.a	1.a	$1$	$1$	$1$	$48.166$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$3$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{5}+q^{7}-2q^{9}+q^{13}-3q^{15}+\cdots$
6032.2.a.e	$6032$	$2$	6032.a	1.a	$1$	$1$	$1$	$48.166$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-3q^{9}+4q^{11}+q^{13}+2q^{17}+\cdots$
6032.2.a.f	$6032$	$2$	6032.a	1.a	$1$	$1$	$1$	$48.166$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-4q^{7}-3q^{9}+2q^{11}+q^{13}+\cdots$
6032.2.a.g	$6032$	$2$	6032.a	1.a	$1$	$1$	$1$	$48.166$	$\Q$	None	✓	$1$	$0$	$0$	$2$	$-2$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-2q^{5}-2q^{7}+q^{9}+q^{13}+\cdots$
6032.2.a.h	$6032$	$2$	6032.a	1.a	$1$	$1$	$1$	$48.166$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$-1$	$5$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-q^{5}+5q^{7}+6q^{9}-4q^{11}+\cdots$
6032.2.a.i	$6032$	$2$	6032.a	1.a	$1$	$2$	$2$	$48.166$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$-6$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+2\beta q^{5}+(-3+\beta )q^{7}+\cdots$
6032.2.a.j	$6032$	$2$	6032.a	1.a	$1$	$2$	$2$	$48.166$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$-2$	$1$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2\beta q^{3}+(1-\beta )q^{5}+(-2+\beta )q^{7}+\cdots$
6032.2.a.k	$6032$	$2$	6032.a	1.a	$1$	$2$	$2$	$48.166$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$2$	$-4$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-2-\beta )q^{5}+(-1-2\beta )q^{7}+\cdots$
6032.2.a.l	$6032$	$2$	6032.a	1.a	$1$	$4$	$4$	$48.166$	4.4.7232.1	None	✓	$1$	$0$	$0$	$-2$	$-2$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-\beta _{1}+\beta _{3})q^{3}+(-\beta _{1}+2\beta _{3})q^{5}+\cdots$
6032.2.a.m	$6032$	$2$	6032.a	1.a	$1$	$4$	$4$	$48.166$	4.4.27004.1	None	✓	$1$	$1$	$0$	$0$	$7$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{1}+\beta _{3})q^{3}+(2-\beta _{1})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots$
6032.2.a.n	$6032$	$2$	6032.a	1.a	$1$	$5$	$5$	$48.166$	5.5.1220776.1	None	✓	$1$	$0$	$0$	$-3$	$6$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1}+\beta _{2})q^{3}+(1+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$
6032.2.a.o	$6032$	$2$	6032.a	1.a	$1$	$5$	$5$	$48.166$	5.5.161121.1	None	✓	$1$	$1$	$0$	$2$	$-6$	$5$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{4}q^{3}+(-1-\beta _{1})q^{5}+(1+\beta _{3})q^{7}+\cdots$
6032.2.a.p	$6032$	$2$	6032.a	1.a	$1$	$5$	$5$	$48.166$	5.5.149169.1	None	✓	$1$	$1$	$0$	$2$	$-2$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{4}q^{3}-\beta _{2}q^{5}+(-\beta _{1}+\beta _{3}-\beta _{4})q^{7}+\cdots$
6032.2.a.q	$6032$	$2$	6032.a	1.a	$1$	$5$	$5$	$48.166$	5.5.36497.1	None	✓	$1$	$0$	$0$	$4$	$-2$	$11$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{4})q^{3}+(-2\beta _{1}+\beta _{3}-\beta _{4})q^{5}+\cdots$
6032.2.a.r	$6032$	$2$	6032.a	1.a	$1$	$5$	$5$	$48.166$	5.5.202817.1	None	✓	$1$	$0$	$0$	$4$	$2$	$15$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{3})q^{3}+(1+\beta _{3}-\beta _{4})q^{5}+(3+\cdots)q^{7}+\cdots$
6032.2.a.s	$6032$	$2$	6032.a	1.a	$1$	$6$	$6$	$48.166$	6.6.226964648.1	None	✓	$1$	$0$	$0$	$-2$	$3$	$1$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{4}q^{3}+(1+\beta _{3})q^{5}+\beta _{1}q^{7}+(1-\beta _{5})q^{9}+\cdots$
6032.2.a.t	$6032$	$2$	6032.a	1.a	$1$	$6$	$6$	$48.166$	6.6.11341289.1	None	✓	$1$	$1$	$0$	$3$	$-5$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+(-\beta _{1}+\beta _{5})q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots$
6032.2.a.u	$6032$	$2$	6032.a	1.a	$1$	$7$	$7$	$48.166$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	$1$	$1$	$0$	$-2$	$-2$	$-7$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{3}+(-1+\beta _{2}-\beta _{6})q^{5}+(-1+\cdots)q^{7}+\cdots$
6032.2.a.v	$6032$	$2$	6032.a	1.a	$1$	$9$	$9$	$48.166$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$1$	$0$	$-2$	$-4$	$3$	$+$	$+$	$+$	$+$	$3$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+\beta _{6}q^{5}+\beta _{3}q^{7}+(\beta _{3}-\beta _{7}+\cdots)q^{9}+\cdots$
6032.2.a.w	$6032$	$2$	6032.a	1.a	$1$	$9$	$9$	$48.166$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$0$	$0$	$-2$	$-2$	$1$	$-$	$+$	$+$	$-$	$2^{5}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}-\beta _{5}q^{5}-\beta _{4}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots$
6032.2.a.x	$6032$	$2$	6032.a	1.a	$1$	$9$	$9$	$48.166$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$0$	$0$	$-2$	$2$	$1$	$-$	$-$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}-\beta _{3}q^{5}+(-\beta _{1}-\beta _{4})q^{7}+\cdots$
6032.2.a.y	$6032$	$2$	6032.a	1.a	$1$	$9$	$9$	$48.166$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$1$	$0$	$0$	$2$	$-17$	$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{8}q^{3}+\beta _{3}q^{5}+(-2+\beta _{6})q^{7}+(1+\cdots)q^{9}+\cdots$
6032.2.a.z	$6032$	$2$	6032.a	1.a	$1$	$10$	$10$	$48.166$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$1$	$0$	$-3$	$4$	$3$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}-\beta _{2}q^{5}-\beta _{6}q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots$
6032.2.a.ba	$6032$	$2$	6032.a	1.a	$1$	$10$	$10$	$48.166$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$0$	$-2$	$5$	$2$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}-\beta _{9}q^{5}-\beta _{2}q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots$
6032.2.a.bb	$6032$	$2$	6032.a	1.a	$1$	$10$	$10$	$48.166$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$0$	$3$	$-5$	$0$	$+$	$+$	$-$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}-\beta _{7}q^{5}-\beta _{4}q^{7}+(-\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots$
6032.2.a.bc	$6032$	$2$	6032.a	1.a	$1$	$11$	$11$	$48.166$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	None	✓	$1$	$0$	$0$	$6$	$-2$	$3$	$+$	$-$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}+\beta _{5}q^{5}+\beta _{3}q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$
6032.2.a.bd	$6032$	$2$	6032.a	1.a	$1$	$12$	$12$	$48.166$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$1$	$0$	$-6$	$3$	$-6$	$+$	$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}+\beta _{6}q^{5}+(-1-\beta _{5}+\cdots)q^{7}+\cdots$
6032.2.a.be	$6032$	$2$	6032.a	1.a	$1$	$13$	$13$	$48.166$	$\mathbb{Q}[x]/(x^{13} - \cdots)$	None	✓	$1$	$0$	$0$	$4$	$5$	$-6$	$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}-\beta _{7}q^{5}-\beta _{5}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
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.