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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 (21 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7803.2.a.a	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$-2$	$-4$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-2q^{5}-4q^{7}+4q^{10}+\cdots$
7803.2.a.b	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$-2$	$-1$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-2q^{5}-q^{7}+4q^{10}+\cdots$
7803.2.a.f	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}+2q^{7}+3q^{8}+q^{10}+\cdots$
7803.2.a.i	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	$\Q(\sqrt{-3}) $	✓	$2$	$1$	$0$	$0$	$0$	$-5$	$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	$q-2q^{4}-5q^{7}-7q^{13}+4q^{16}+8q^{19}+\cdots$
7803.2.a.k	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	$\Q(\sqrt{-3}) $	✓	$2$	$1$	$0$	$0$	$0$	$1$	$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	$q-2q^{4}+q^{7}+5q^{13}+4q^{16}-7q^{19}+\cdots$
7803.2.a.l	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	$\Q(\sqrt{-3}) $	✓	$2$	$1$	$0$	$0$	$0$	$4$	$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	$q-2q^{4}+4q^{7}+2q^{13}+4q^{16}-q^{19}+\cdots$
7803.2.a.n	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$-2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+3q^{5}-2q^{7}-3q^{11}+2q^{13}+\cdots$
7803.2.a.q	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$4$	$2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+4q^{5}+2q^{7}-3q^{8}+4q^{10}+\cdots$
7803.2.a.u	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$2$	$-1$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}+2q^{5}-q^{7}+4q^{10}+\cdots$
7803.2.a.w	$7803$	$2$	7803.a	1.a	$1$	$2$	$2$	$62.307$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$-1$	$0$	$5$	$-3$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(1+\beta )q^{4}+(3-\beta )q^{5}+(-2+\cdots)q^{7}+\cdots$
7803.2.a.x	$7803$	$2$	7803.a	1.a	$1$	$2$	$2$	$62.307$	$\Q(\sqrt{17}) $	$\Q(\sqrt{-51}) $	✓	$2$	$1$	$0$	$0$	$-3$	$0$	$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	$q-2q^{4}+(-1-\beta )q^{5}+(1-2\beta )q^{11}+\cdots$
7803.2.a.z	$7803$	$2$	7803.a	1.a	$1$	$2$	$2$	$62.307$	$\Q(\sqrt{2}) $	None	✓	$2$	$1$	$0$	$0$	$-8$	$0$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-4q^{5}-2\beta q^{7}-2\beta q^{8}-4\beta q^{10}+\cdots$
7803.2.a.bc	$7803$	$2$	7803.a	1.a	$1$	$2$	$2$	$62.307$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$1$	$0$	$-5$	$-3$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+\beta )q^{4}+(-3+\beta )q^{5}+(-2+\cdots)q^{7}+\cdots$
7803.2.a.bg	$7803$	$2$	7803.a	1.a	$1$	$3$	$3$	$62.307$	3.3.404.1	None	✓	$1$	$1$	$1$	$0$	$-3$	$4$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{2}+(3+\beta _{1}-\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots$
7803.2.a.bh	$7803$	$2$	7803.a	1.a	$1$	$4$	$4$	$62.307$	4.4.29952.1	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{2}q^{5}-\beta _{3}q^{7}+\cdots$
7803.2.a.bj	$7803$	$2$	7803.a	1.a	$1$	$5$	$5$	$62.307$	5.5.160801.1	None	✓	$1$	$1$	$-3$	$0$	$-4$	$1$	$+$	$+$	$+$	$3$	$\mathrm{SU}(2)$	$q+(-1+\beta _{4})q^{2}+(2+\beta _{2}+\beta _{3})q^{4}+\cdots$
7803.2.a.bp	$7803$	$2$	7803.a	1.a	$1$	$6$	$6$	$62.307$	6.6.1168184448.1	None	✓	$2$	$1$	$0$	$0$	$0$	$-4$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{3}q^{5}+(-1+\cdots)q^{7}+\cdots$
7803.2.a.bs	$7803$	$2$	7803.a	1.a	$1$	$10$	$10$	$62.307$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$2$	$1$	$0$	$0$	$2$	$0$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{4}q^{5}+\beta _{6}q^{7}+\cdots$
7803.2.a.bu	$7803$	$2$	7803.a	1.a	$1$	$12$	$12$	$62.307$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$2$	$1$	$0$	$0$	$0$	$6$	$+$	$+$	$+$	$3$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots$
7803.2.a.bv	$7803$	$2$	7803.a	1.a	$1$	$12$	$12$	$62.307$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$2$	$1$	$0$	$0$	$0$	$-8$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}+\beta _{11})q^{5}+\cdots$
7803.2.a.bx	$7803$	$2$	7803.a	1.a	$1$	$15$	$15$	$62.307$	$\mathbb{Q}[x]/(x^{15} - \cdots)$	None	✓	$1$	$1$	$-6$	$0$	$-3$	$-3$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+\beta _{4}q^{5}+(-1+\cdots)q^{7}+\cdots$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
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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.