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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 (39 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	5	7	31	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7595.2.a.a	$7595$	$2$	7595.a	1.a	$1$	$1$	$1$	$60.646$	$\Q$	None	✓	$1$	$0$	$-2$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}-2q^{9}+\cdots$
7595.2.a.b	$7595$	$2$	7595.a	1.a	$1$	$1$	$1$	$60.646$	$\Q$	None	✓	$1$	$0$	$-2$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}-2q^{9}+\cdots$
7595.2.a.c	$7595$	$2$	7595.a	1.a	$1$	$1$	$1$	$60.646$	$\Q$	None	✓	$1$	$1$	$-1$	$-2$	$1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-2q^{3}-q^{4}+q^{5}+2q^{6}+3q^{8}+\cdots$
7595.2.a.d	$7595$	$2$	7595.a	1.a	$1$	$1$	$1$	$60.646$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}+3q^{8}-3q^{9}+q^{10}+\cdots$
7595.2.a.e	$7595$	$2$	7595.a	1.a	$1$	$1$	$1$	$60.646$	$\Q$	None	✓	$1$	$1$	$-1$	$2$	$1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}-q^{4}+q^{5}-2q^{6}+3q^{8}+\cdots$
7595.2.a.f	$7595$	$2$	7595.a	1.a	$1$	$1$	$1$	$60.646$	$\Q$	None	✓	$1$	$1$	$0$	$-3$	$-1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-2q^{4}-q^{5}+6q^{9}+q^{11}+\cdots$
7595.2.a.g	$7595$	$2$	7595.a	1.a	$1$	$1$	$1$	$60.646$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}+q^{5}-2q^{9}+4q^{11}+\cdots$
7595.2.a.h	$7595$	$2$	7595.a	1.a	$1$	$1$	$1$	$60.646$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+q^{5}-2q^{9}-4q^{11}+\cdots$
7595.2.a.i	$7595$	$2$	7595.a	1.a	$1$	$1$	$1$	$60.646$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-2q^{4}+q^{5}+6q^{9}+4q^{11}+\cdots$
7595.2.a.j	$7595$	$2$	7595.a	1.a	$1$	$1$	$1$	$60.646$	$\Q$	None	✓	$1$	$1$	$2$	$-3$	$-1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}-3q^{3}+2q^{4}-q^{5}-6q^{6}+\cdots$
7595.2.a.k	$7595$	$2$	7595.a	1.a	$1$	$1$	$1$	$60.646$	$\Q$	None	✓	$1$	$0$	$2$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}-2q^{9}+\cdots$
7595.2.a.l	$7595$	$2$	7595.a	1.a	$1$	$2$	$2$	$60.646$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$-2$	$2$	$0$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{3}+3q^{4}+q^{5}+\cdots$
7595.2.a.m	$7595$	$2$	7595.a	1.a	$1$	$2$	$2$	$60.646$	$\Q(\sqrt{7}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-2q^{4}-q^{5}+4q^{9}-2\beta q^{12}+\cdots$
7595.2.a.n	$7595$	$2$	7595.a	1.a	$1$	$3$	$3$	$60.646$	3.3.316.1	None	✓	$1$	$0$	$0$	$1$	$-3$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{1}-\beta _{2})q^{3}-2q^{4}-q^{5}+(2-2\beta _{2})q^{9}+\cdots$
7595.2.a.o	$7595$	$2$	7595.a	1.a	$1$	$3$	$3$	$60.646$	3.3.148.1	None	✓	$1$	$1$	$0$	$1$	$3$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{2}+(\beta _{1}+\beta _{2})q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+\cdots$
7595.2.a.p	$7595$	$2$	7595.a	1.a	$1$	$4$	$4$	$60.646$	4.4.17428.1	None	✓	$1$	$1$	$-1$	$1$	$-4$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}+\beta _{1}q^{3}+(2+\beta _{3})q^{4}-q^{5}+\cdots$
7595.2.a.q	$7595$	$2$	7595.a	1.a	$1$	$4$	$4$	$60.646$	4.4.20308.1	None	✓	$1$	$1$	$-1$	$1$	$4$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-\beta _{3}q^{3}+(2+\beta _{1}+\beta _{2})q^{4}+\cdots$
7595.2.a.r	$7595$	$2$	7595.a	1.a	$1$	$4$	$4$	$60.646$	$\Q(\zeta_{16})^+$	None	✓	$1$	$1$	$0$	$4$	$-4$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{3}+\beta _{2}q^{4}-q^{5}+\cdots$
7595.2.a.s	$7595$	$2$	7595.a	1.a	$1$	$4$	$4$	$60.646$	4.4.8468.1	None	✓	$1$	$1$	$1$	$-1$	$-4$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}-\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2}+\beta _{3})q^{4}+\cdots$
7595.2.a.t	$7595$	$2$	7595.a	1.a	$1$	$7$	$7$	$60.646$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	$1$	$1$	$1$	$-6$	$7$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(-1-\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots$
7595.2.a.u	$7595$	$2$	7595.a	1.a	$1$	$7$	$7$	$60.646$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	$1$	$0$	$3$	$-2$	$7$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{6})q^{3}+(2+\beta _{2}+\cdots)q^{4}+\cdots$
7595.2.a.v	$7595$	$2$	7595.a	1.a	$1$	$8$	$8$	$60.646$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$0$	$1$	$3$	$8$	$0$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{2}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots$
7595.2.a.w	$7595$	$2$	7595.a	1.a	$1$	$11$	$11$	$60.646$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	None	✓	$1$	$1$	$0$	$-1$	$11$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{2}+\beta _{3})q^{4}+\cdots$
7595.2.a.x	$7595$	$2$	7595.a	1.a	$1$	$11$	$11$	$60.646$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	None	✓	$1$	$1$	$0$	$1$	$-11$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{2}+\beta _{3})q^{4}+\cdots$
7595.2.a.y	$7595$	$2$	7595.a	1.a	$1$	$11$	$11$	$60.646$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	None	✓	$1$	$0$	$1$	$-4$	$-11$	$0$	$+$	$-$	$+$	$-$	$2^{5}$	$\mathrm{SU}(2)$	$q-\beta _{8}q^{2}-\beta _{4}q^{3}+(2+\beta _{5})q^{4}-q^{5}+\cdots$
7595.2.a.z	$7595$	$2$	7595.a	1.a	$1$	$19$	$19$	$60.646$	$\mathbb{Q}[x]/(x^{19} - \cdots)$	None	✓	$1$	$1$	$-6$	$-5$	$19$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+\beta _{9}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots$
7595.2.a.ba	$7595$	$2$	7595.a	1.a	$1$	$19$	$19$	$60.646$	$\mathbb{Q}[x]/(x^{19} - \cdots)$	None	✓	$1$	$0$	$-6$	$5$	$-19$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-\beta _{9}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots$
7595.2.a.bb	$7595$	$2$	7595.a	1.a	$1$	$19$	$19$	$60.646$	$\mathbb{Q}[x]/(x^{19} - \cdots)$	None	✓	$1$	$1$	$2$	$-3$	$-19$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-\beta _{5}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots$
7595.2.a.bc	$7595$	$2$	7595.a	1.a	$1$	$19$	$19$	$60.646$	$\mathbb{Q}[x]/(x^{19} - \cdots)$	None	✓	$1$	$0$	$2$	$3$	$19$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots$
7595.2.a.bd	$7595$	$2$	7595.a	1.a	$1$	$19$	$19$	$60.646$	$\mathbb{Q}[x]/(x^{19} - \cdots)$	None	✓	$1$	$0$	$4$	$-3$	$-19$	$0$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{10}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots$
7595.2.a.be	$7595$	$2$	7595.a	1.a	$1$	$19$	$19$	$60.646$	$\mathbb{Q}[x]/(x^{19} - \cdots)$	None	✓	$1$	$0$	$4$	$3$	$19$	$0$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-\beta _{10}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots$
7595.2.a.bf	$7595$	$2$	7595.a	1.a	$1$	$21$	$21$	$60.646$		None	✓	$1$	$1$	$-4$	$-5$	$21$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
7595.2.a.bg	$7595$	$2$	7595.a	1.a	$1$	$21$	$21$	$60.646$		None	✓	$1$	$0$	$-4$	$5$	$-21$	$0$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
7595.2.a.bh	$7595$	$2$	7595.a	1.a	$1$	$21$	$21$	$60.646$		None	✓	$1$	$1$	$4$	$-3$	$-21$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
7595.2.a.bi	$7595$	$2$	7595.a	1.a	$1$	$21$	$21$	$60.646$		None	✓	$1$	$0$	$4$	$3$	$21$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
7595.2.a.bj	$7595$	$2$	7595.a	1.a	$1$	$22$	$22$	$60.646$		None	✓	$1$	$1$	$-4$	$-2$	$22$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
7595.2.a.bk	$7595$	$2$	7595.a	1.a	$1$	$22$	$22$	$60.646$		None	✓	$1$	$1$	$-4$	$2$	$-22$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
7595.2.a.bl	$7595$	$2$	7595.a	1.a	$1$	$38$	$38$	$60.646$		None	✓	$1$	$0$	$4$	$-6$	$-38$	$0$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
7595.2.a.bm	$7595$	$2$	7595.a	1.a	$1$	$38$	$38$	$60.646$		None	✓	$1$	$0$	$4$	$6$	$38$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$

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Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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.