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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	5	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7605.2.a.b	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$2$	$-1$	$0$	$-1$	$-4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}-4q^{7}+3q^{8}+q^{10}+\cdots$
7605.2.a.e	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}+4q^{7}+3q^{8}+q^{10}+\cdots$
7605.2.a.f	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}+4q^{7}+3q^{8}+q^{10}+\cdots$
7605.2.a.k	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-q^{5}+q^{7}+6q^{11}+4q^{16}+\cdots$
7605.2.a.m	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{5}+q^{7}-3q^{11}+4q^{16}+\cdots$
7605.2.a.n	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{5}+3q^{7}+3q^{11}+4q^{16}+\cdots$
7605.2.a.p	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}-2q^{7}-3q^{8}+q^{10}+\cdots$
7605.2.a.q	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}-2q^{7}-3q^{8}+q^{10}+\cdots$
7605.2.a.s	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$-1$	$-5$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{5}-5q^{7}-2q^{10}+\cdots$
7605.2.a.t	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$-1$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{5}+q^{7}-2q^{10}+\cdots$
7605.2.a.ba	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-1$	$0$	$-2$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{4}-q^{5}+(3-2\beta )q^{7}+\cdots$
7605.2.a.bb	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$-1$	$0$	$-2$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(1+\beta )q^{4}-q^{5}+q^{7}-3q^{8}+\cdots$
7605.2.a.be	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{4}-q^{5}-2q^{7}-\beta q^{8}-\beta q^{10}+\cdots$
7605.2.a.bh	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$1$	$0$	$2$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(2+\beta )q^{4}+q^{5}+(1+\beta )q^{7}+\cdots$
7605.2.a.bi	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$1$	$0$	$2$	$5$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(2+\beta )q^{4}+q^{5}+(3-\beta )q^{7}+\cdots$
7605.2.a.bj	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$-2$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(2+2\beta )q^{4}-q^{5}+\beta q^{7}+\cdots$
7605.2.a.bk	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(2+2\beta )q^{4}+q^{5}+(1-2\beta )q^{7}+\cdots$
7605.2.a.bl	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{13}) $	None	✓	$2$	$0$	$4$	$0$	$-2$	$0$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{5}+\beta q^{7}-2q^{10}+\cdots$
7605.2.a.bo	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$-1$	$0$	$-3$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+\beta _{2}q^{4}-q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots$
7605.2.a.bs	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	3.3.564.1	None	✓	$1$	$0$	$-1$	$0$	$3$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+(1+\beta _{2})q^{7}+\cdots$
7605.2.a.bt	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	3.3.148.1	None	✓	$1$	$0$	$0$	$0$	$-3$	$5$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}+(1-\beta _{1}-\beta _{2})q^{4}-q^{5}+(1+\cdots)q^{7}+\cdots$
7605.2.a.bv	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	3.3.756.1	None	✓	$1$	$0$	$0$	$0$	$-3$	$3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots$
7605.2.a.bx	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	3.3.316.1	None	✓	$1$	$0$	$0$	$0$	$-3$	$-1$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(3+\beta _{2})q^{4}-q^{5}+\beta _{2}q^{7}+\cdots$
7605.2.a.cb	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$1$	$0$	$3$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{2}q^{4}+q^{5}+(1+\beta _{1})q^{7}+\cdots$
7605.2.a.cf	$7605$	$2$	7605.a	1.a	$1$	$4$	$4$	$60.726$	4.4.4752.1	None	✓	$1$	$0$	$-2$	$0$	$4$	$10$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+(3+\beta _{2}+\cdots)q^{7}+\cdots$
7605.2.a.ci	$7605$	$2$	7605.a	1.a	$1$	$4$	$4$	$60.726$	4.4.13824.1	None	✓	$1$	$0$	$0$	$0$	$4$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$
7605.2.a.ck	$7605$	$2$	7605.a	1.a	$1$	$4$	$4$	$60.726$	4.4.7488.1	None	✓	$1$	$0$	$2$	$0$	$4$	$-6$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{3}q^{2}+(1-\beta _{2})q^{4}+q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots$
7605.2.a.cn	$7605$	$2$	7605.a	1.a	$1$	$5$	$5$	$60.726$	5.5.3352656.1	None	✓	$1$	$0$	$2$	$0$	$5$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}-\beta _{4}q^{7}+\cdots$
7605.2.a.co	$7605$	$2$	7605.a	1.a	$1$	$5$	$5$	$60.726$	5.5.3352656.1	None	✓	$1$	$0$	$2$	$0$	$5$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+\beta _{4}q^{7}+\cdots$
7605.2.a.cp	$7605$	$2$	7605.a	1.a	$1$	$9$	$9$	$60.726$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$0$	$-3$	$0$	$-9$	$7$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-\beta _{1}-\beta _{6})q^{2}+(2-\beta _{3}-\beta _{6}+\beta _{7}+\cdots)q^{4}+\cdots$
7605.2.a.cq	$7605$	$2$	7605.a	1.a	$1$	$9$	$9$	$60.726$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$0$	$0$	$0$	$-9$	$-10$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{7}q^{2}+(1+\beta _{1}-\beta _{3}+\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots$
7605.2.a.cr	$7605$	$2$	7605.a	1.a	$1$	$9$	$9$	$60.726$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$0$	$0$	$0$	$9$	$10$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{7}q^{2}+(1+\beta _{1}-\beta _{3}+\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots$
7605.2.a.cs	$7605$	$2$	7605.a	1.a	$1$	$9$	$9$	$60.726$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$0$	$3$	$0$	$9$	$-7$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{1}+\beta _{6})q^{2}+(2-\beta _{3}-\beta _{6}+\beta _{7}+\cdots)q^{4}+\cdots$
7605.2.a.cu	$7605$	$2$	7605.a	1.a	$1$	$10$	$10$	$60.726$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$2$	$0$	$4$	$0$	$-10$	$0$	$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{4}q^{2}+(1+\beta _{5})q^{4}-q^{5}+\beta _{9}q^{7}+\cdots$
7605.2.a.cw	$7605$	$2$	7605.a	1.a	$1$	$12$	$12$	$60.726$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$0$	$-1$	$0$	$12$	$12$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1-\beta _{3}+\beta _{4})q^{4}+q^{5}+(1+\cdots)q^{7}+\cdots$
7605.2.a.cx	$7605$	$2$	7605.a	1.a	$1$	$12$	$12$	$60.726$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$0$	$1$	$0$	$-12$	$-12$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1-\beta _{3}+\beta _{4})q^{4}-q^{5}+(-1+\cdots)q^{7}+\cdots$

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