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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 (1-50 of 225 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	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	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1350.2.a.a	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-4q^{7}-q^{8}+3q^{11}-q^{13}+\cdots$
1350.2.a.b	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-4q^{7}-q^{8}+5q^{11}+3q^{13}+\cdots$
1350.2.a.c	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{7}-q^{8}-3q^{11}+q^{13}+\cdots$
1350.2.a.d	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{7}-q^{8}+3q^{11}-5q^{13}+\cdots$
1350.2.a.e	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{7}-q^{8}+3q^{11}-5q^{13}+\cdots$
1350.2.a.f	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+2q^{13}+q^{14}+\cdots$
1350.2.a.g	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{13}-q^{14}+\cdots$
1350.2.a.h	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}+4q^{13}+\cdots$
1350.2.a.i	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{7}-q^{8}-3q^{11}+5q^{13}+\cdots$
1350.2.a.j	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+4q^{7}-q^{8}-5q^{11}-3q^{13}+\cdots$
1350.2.a.k	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+4q^{7}-q^{8}-3q^{11}+q^{13}+\cdots$
1350.2.a.l	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-4q^{7}+q^{8}-5q^{11}+3q^{13}+\cdots$
1350.2.a.m	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-4q^{7}+q^{8}-3q^{11}-q^{13}+\cdots$
1350.2.a.n	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{7}+q^{8}-3q^{11}-5q^{13}+\cdots$
1350.2.a.o	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{7}+q^{8}-3q^{11}-5q^{13}+\cdots$
1350.2.a.p	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{7}+q^{8}+3q^{11}+q^{13}+\cdots$
1350.2.a.q	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{13}-q^{14}+\cdots$
1350.2.a.r	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-3q^{11}+4q^{13}+\cdots$
1350.2.a.s	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-2q^{13}+q^{14}+\cdots$
1350.2.a.t	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{7}+q^{8}+3q^{11}+5q^{13}+\cdots$
1350.2.a.u	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+4q^{7}+q^{8}+3q^{11}+q^{13}+\cdots$
1350.2.a.v	$1350$	$2$	1350.a	1.a	$1$	$1$	$1$	$10.780$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+4q^{7}+q^{8}+5q^{11}-3q^{13}+\cdots$
1350.2.a.w	$1350$	$2$	1350.a	1.a	$1$	$2$	$2$	$10.780$	$\Q(\sqrt{19}) $	None	✓	$2$	$0$	$-2$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta q^{7}-q^{8}+\beta q^{11}-\beta q^{14}+\cdots$
1350.2.a.x	$1350$	$2$	1350.a	1.a	$1$	$2$	$2$	$10.780$	$\Q(\sqrt{19}) $	None	✓	$2$	$0$	$2$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta q^{7}+q^{8}-\beta q^{11}+\beta q^{14}+\cdots$
1350.2.c.a	$1350$	$2$	1350.c	5.b	$2$	$2$	$2$	$10.780$	$\Q(\sqrt{-1}) $	None		$2$	$1$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{4}+2iq^{7}-iq^{8}-3q^{11}+\cdots$
1350.2.c.b	$1350$	$2$	1350.c	5.b	$2$	$2$	$2$	$10.780$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{4}+iq^{7}-iq^{8}-3q^{11}+\cdots$
1350.2.c.c	$1350$	$2$	1350.c	5.b	$2$	$2$	$2$	$10.780$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-q^{4}+2iq^{7}+iq^{8}-3q^{11}+\cdots$
1350.2.c.d	$1350$	$2$	1350.c	5.b	$2$	$2$	$2$	$10.780$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-q^{4}+2iq^{7}+iq^{8}-3q^{11}+\cdots$
1350.2.c.e	$1350$	$2$	1350.c	5.b	$2$	$2$	$2$	$10.780$	$\Q(\sqrt{-1}) $	None		$2$	$1$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-q^{4}+4iq^{7}+iq^{8}-3q^{11}+\cdots$
1350.2.c.f	$1350$	$2$	1350.c	5.b	$2$	$2$	$2$	$10.780$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{4}+iq^{7}-iq^{8}+2iq^{13}+\cdots$
1350.2.c.g	$1350$	$2$	1350.c	5.b	$2$	$2$	$2$	$10.780$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-q^{4}+iq^{7}+iq^{8}+2iq^{13}+\cdots$
1350.2.c.h	$1350$	$2$	1350.c	5.b	$2$	$2$	$2$	$10.780$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{4}+4iq^{7}-iq^{8}+3q^{11}+\cdots$
1350.2.c.i	$1350$	$2$	1350.c	5.b	$2$	$2$	$2$	$10.780$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{4}+2iq^{7}-iq^{8}+3q^{11}+\cdots$
1350.2.c.j	$1350$	$2$	1350.c	5.b	$2$	$2$	$2$	$10.780$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{4}+2iq^{7}-iq^{8}+3q^{11}+\cdots$
1350.2.c.k	$1350$	$2$	1350.c	5.b	$2$	$2$	$2$	$10.780$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-q^{4}+iq^{7}+iq^{8}+3q^{11}+\cdots$
1350.2.c.l	$1350$	$2$	1350.c	5.b	$2$	$2$	$2$	$10.780$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-q^{4}+2iq^{7}+iq^{8}+3q^{11}+\cdots$
1350.2.e.a	$1350$	$2$	1350.e	9.c	$3$	$2$	$1$	$10.780$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$0$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{7}+\cdots$
1350.2.e.b	$1350$	$2$	1350.e	9.c	$3$	$2$	$1$	$10.780$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$0$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{7}+\cdots$
1350.2.e.c	$1350$	$2$	1350.e	9.c	$3$	$2$	$1$	$10.780$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$0$	$2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(2-2\zeta_{6})q^{7}+\cdots$
1350.2.e.d	$1350$	$2$	1350.e	9.c	$3$	$2$	$1$	$10.780$	$\Q(\sqrt{-3}) $	None		$2$	$1$	$-1$	$0$	$0$	$2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(2-2\zeta_{6})q^{7}+\cdots$
1350.2.e.e	$1350$	$2$	1350.e	9.c	$3$	$2$	$1$	$10.780$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$0$	$4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(4-4\zeta_{6})q^{7}+\cdots$
1350.2.e.f	$1350$	$2$	1350.e	9.c	$3$	$2$	$1$	$10.780$	$\Q(\sqrt{-3}) $	None		$2$	$1$	$1$	$0$	$0$	$-4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-4+4\zeta_{6})q^{7}+\cdots$
1350.2.e.g	$1350$	$2$	1350.e	9.c	$3$	$2$	$1$	$10.780$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$0$	$0$	$-4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-4+4\zeta_{6})q^{7}+\cdots$
1350.2.e.h	$1350$	$2$	1350.e	9.c	$3$	$2$	$1$	$10.780$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$0$	$0$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-2+2\zeta_{6})q^{7}+\cdots$
1350.2.e.i	$1350$	$2$	1350.e	9.c	$3$	$2$	$1$	$10.780$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$0$	$0$	$1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(1-\zeta_{6})q^{7}+\cdots$
1350.2.e.j	$1350$	$2$	1350.e	9.c	$3$	$4$	$2$	$10.780$	$\Q(\sqrt{-2}, \sqrt{-3})$	None		$2$	$0$	$-2$	$0$	$0$	$-4$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\beta _{1})q^{2}-\beta _{1}q^{4}+(-2+2\beta _{1}+\cdots)q^{7}+\cdots$
1350.2.e.k	$1350$	$2$	1350.e	9.c	$3$	$4$	$2$	$10.780$	$\Q(\sqrt{-2}, \sqrt{-3})$	None		$2$	$0$	$-2$	$0$	$0$	$-4$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\beta _{1})q^{2}-\beta _{1}q^{4}+(-2+2\beta _{1}+\cdots)q^{7}+\cdots$
1350.2.e.l	$1350$	$2$	1350.e	9.c	$3$	$4$	$2$	$10.780$	$\Q(\sqrt{-3}, \sqrt{-11})$	None		$2$	$0$	$2$	$0$	$0$	$1$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q+\beta _{1}q^{2}+(-1+\beta _{1})q^{4}+\beta _{3}q^{7}-q^{8}+\cdots$
1350.2.e.m	$1350$	$2$	1350.e	9.c	$3$	$4$	$2$	$10.780$	$\Q(\sqrt{-2}, \sqrt{-3})$	None		$2$	$0$	$2$	$0$	$0$	$4$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\beta _{1})q^{2}-\beta _{1}q^{4}+(2-2\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$
1350.2.e.n	$1350$	$2$	1350.e	9.c	$3$	$4$	$2$	$10.780$	$\Q(\sqrt{-2}, \sqrt{-3})$	None		$2$	$0$	$2$	$0$	$0$	$4$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\beta _{1})q^{2}-\beta _{1}q^{4}+(2-2\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$

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Elliptic curves over $\Q$
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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.