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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 (29 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2763.1.c.a	$2763$	$1$	2763.c	307.b	$2$	$1$	$1$	$1.379$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-307}) $	$\Q(\sqrt{921}) $	✓	$4$	$0$	$0$	$0$	$0$	$-2$		$1$		$q+q^{4}-2q^{7}+q^{16}+2q^{19}+q^{25}+\cdots$
2763.1.c.b	$2763$	$1$	2763.c	307.b	$2$	$1$	$1$	$1.379$	$\Q$	$D_{3}$	$\Q(\sqrt{-307}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-1$		$1$		$q+q^{4}-q^{7}+q^{11}+q^{16}+q^{17}-q^{19}+\cdots$
2763.1.c.c	$2763$	$1$	2763.c	307.b	$2$	$2$	$2$	$1.379$	$\Q(\sqrt{3}) $	$D_{6}$	$\Q(\sqrt{-307}) $	None	✓	$4$	$0$	$0$	$0$	$0$	$2$		$1$		$q+q^{4}+q^{7}-\beta q^{11}+q^{16}+\beta q^{17}+\cdots$
2763.1.i.a	$2763$	$1$	2763.i	307.d	$6$	$2$	$1$	$1.379$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$2$		$1$		$q+q^{4}-\zeta_{6}^{2}q^{7}+q^{16}-q^{19}+\zeta_{6}^{2}q^{25}+\cdots$
2763.1.j.a	$2763$	$1$	2763.j	921.g	$6$	$4$	$2$	$1.379$	$\Q(\sqrt{-2}, \sqrt{-3})$	$S_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\beta _{3}q^{2}-q^{4}+(\beta _{1}-\beta _{3})q^{5}+2\beta _{2}q^{10}+\cdots$
2763.1.j.b	$2763$	$1$	2763.j	921.g	$6$	$4$	$2$	$1.379$	$\Q(\sqrt{-2}, \sqrt{-3})$	$S_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+q^{4}+(\beta _{1}-\beta _{3})q^{5}+q^{16}-\beta _{3}q^{17}+\cdots$
2763.1.r.a	$2763$	$1$	2763.r	2763.r	$6$	$4$	$2$	$1.379$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$-2$		$1$		$q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{2}q^{6}+\cdots$
2763.1.bi.a	$2763$	$1$	2763.bi	307.h	$34$	$16$	$1$	$1.379$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-15$		$1$		$q-\zeta_{34}^{15}q^{4}+(-1+\zeta_{34}^{5})q^{7}+(\zeta_{34}^{3}+\cdots)q^{13}+\cdots$
2763.1.bz.a	$2763$	$1$	2763.bz	307.j	$102$	$32$	$1$	$1.379$	$\Q(\zeta_{51})$	$D_{102}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$15$		$1$		$q-\zeta_{102}^{3}q^{4}+(\zeta_{102}-\zeta_{102}^{34})q^{7}+(\zeta_{102}^{8}+\cdots)q^{13}+\cdots$
2763.2.a.a	$2763$	$2$	2763.a	1.a	$1$	$1$	$1$	$22.063$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-2$	$0$	$-2$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-2q^{5}+3q^{7}+4q^{10}+\cdots$
2763.2.a.b	$2763$	$2$	2763.a	1.a	$1$	$1$	$1$	$22.063$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-2$	$0$	$0$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-3q^{7}-q^{11}+6q^{13}+\cdots$
2763.2.a.c	$2763$	$2$	2763.a	1.a	$1$	$1$	$1$	$22.063$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-1$	$0$	$0$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{7}+3q^{8}-5q^{11}+\cdots$
2763.2.a.d	$2763$	$2$	2763.a	1.a	$1$	$1$	$1$	$22.063$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$-1$	$0$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+2q^{5}+3q^{8}-2q^{10}+\cdots$
2763.2.a.e	$2763$	$2$	2763.a	1.a	$1$	$1$	$1$	$22.063$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$-4$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-4q^{5}-3q^{11}+6q^{13}+4q^{16}+\cdots$
2763.2.a.f	$2763$	$2$	2763.a	1.a	$1$	$1$	$1$	$22.063$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-q^{7}-4q^{13}+4q^{16}+3q^{17}+\cdots$
2763.2.a.g	$2763$	$2$	2763.a	1.a	$1$	$1$	$1$	$22.063$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$1$	$0$	$-2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-2q^{5}-3q^{8}-2q^{10}+\cdots$
2763.2.a.h	$2763$	$2$	2763.a	1.a	$1$	$1$	$1$	$22.063$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$2$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-5q^{11}-4q^{16}-q^{17}+\cdots$
2763.2.a.i	$2763$	$2$	2763.a	1.a	$1$	$2$	$2$	$22.063$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$-2$	$0$	$0$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-2\beta q^{5}+\cdots$
2763.2.a.j	$2763$	$2$	2763.a	1.a	$1$	$2$	$2$	$22.063$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+2\beta q^{5}+(2-2\beta )q^{7}-2\beta q^{8}+\cdots$
2763.2.a.k	$2763$	$2$	2763.a	1.a	$1$	$2$	$2$	$22.063$	$\Q(\sqrt{13}) $	$_{}$	None	None	✓	$1$	$1$	$1$	$0$	$-6$	$5$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+\beta )q^{4}-3q^{5}+(2+\beta )q^{7}+\cdots$
2763.2.a.l	$2763$	$2$	2763.a	1.a	$1$	$6$	$6$	$22.063$	6.6.3356224.1	$_{}$	None	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{5}q^{2}+(1-\beta _{2}+\beta _{3})q^{4}+(-\beta _{4}+\cdots)q^{5}+\cdots$
2763.2.a.m	$2763$	$2$	2763.a	1.a	$1$	$7$	$7$	$22.063$	7.7.144038117.1	$_{}$	None	None	✓	$1$	$1$	$2$	$0$	$7$	$-13$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(1-\beta _{1}+\beta _{5}+\beta _{6})q^{5}+\cdots$
2763.2.a.n	$2763$	$2$	2763.a	1.a	$1$	$9$	$9$	$22.063$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	$_{}$	None	None	✓	$1$	$1$	$-3$	$0$	$-5$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{5}q^{2}+(1+\beta _{5}-\beta _{7}+\beta _{8})q^{4}+(-1+\cdots)q^{5}+\cdots$
2763.2.a.o	$2763$	$2$	2763.a	1.a	$1$	$10$	$10$	$22.063$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	$_{}$	None	None	✓	$1$	$0$	$7$	$0$	$15$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots$
2763.2.a.p	$2763$	$2$	2763.a	1.a	$1$	$11$	$11$	$22.063$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	$_{}$	None	None	✓	$1$	$1$	$-4$	$0$	$-7$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{4}+\beta _{8}+\cdots)q^{5}+\cdots$
2763.2.a.q	$2763$	$2$	2763.a	1.a	$1$	$13$	$13$	$22.063$	$\mathbb{Q}[x]/(x^{13} - \cdots)$	$_{}$	None	None	✓	$1$	$0$	$2$	$0$	$9$	$-8$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$
2763.2.a.r	$2763$	$2$	2763.a	1.a	$1$	$14$	$14$	$22.063$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	$_{}$	None	None	✓	$2$	$1$	$0$	$0$	$0$	$-12$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{12}q^{5}+(-1+\cdots)q^{7}+\cdots$
2763.2.a.s	$2763$	$2$	2763.a	1.a	$1$	$14$	$14$	$22.063$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	$_{}$	None	None	✓	$1$	$0$	$3$	$0$	$-3$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{7}q^{5}+\beta _{13}q^{7}+\cdots$
2763.2.a.t	$2763$	$2$	2763.a	1.a	$1$	$30$	$30$	$22.063$		$_{}$	None	None	✓	$2$	$0$	$0$	$0$	$0$	$16$	$-$		$\mathrm{SU}(2)$

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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.