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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 93 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
1290.2.a.a	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
1290.2.a.b	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
1290.2.a.c	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
1290.2.a.d	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
1290.2.a.e	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+4q^{7}+\cdots$
1290.2.a.f	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots$
1290.2.a.g	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots$
1290.2.a.h	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+2q^{7}+\cdots$
1290.2.a.i	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+4q^{7}+\cdots$
1290.2.a.j	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-1$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-4q^{7}+\cdots$
1290.2.a.k	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-1$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots$
1290.2.a.l	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
1290.2.a.m	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-4q^{7}+\cdots$
1290.2.a.n	$1290$	$2$	1290.a	1.a	$1$	$1$	$1$	$10.301$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots$
1290.2.a.o	$1290$	$2$	1290.a	1.a	$1$	$2$	$2$	$10.301$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-2$	$-2$	$2$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(1+\beta )q^{7}+\cdots$
1290.2.a.p	$1290$	$2$	1290.a	1.a	$1$	$2$	$2$	$10.301$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$2$	$-2$	$-2$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots$
1290.2.a.q	$1290$	$2$	1290.a	1.a	$1$	$2$	$2$	$10.301$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$-2$	$2$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+\beta q^{7}+\cdots$
1290.2.a.r	$1290$	$2$	1290.a	1.a	$1$	$2$	$2$	$10.301$	$\Q(\sqrt{41}) $	None	✓	$1$	$0$	$2$	$2$	$-2$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(1+\beta )q^{7}+\cdots$
1290.2.a.s	$1290$	$2$	1290.a	1.a	$1$	$2$	$2$	$10.301$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$2$	$2$	$2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-\beta q^{7}+\cdots$
1290.2.a.t	$1290$	$2$	1290.a	1.a	$1$	$2$	$2$	$10.301$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$2$	$2$	$2$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(1+\beta )q^{7}+\cdots$
1290.2.a.u	$1290$	$2$	1290.a	1.a	$1$	$3$	$3$	$10.301$	3.3.469.1	None	✓	$1$	$1$	$-3$	$-3$	$-3$	$3$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(1+\beta _{1}+\cdots)q^{7}+\cdots$
1290.2.c.a	$1290$	$2$	1290.c	129.d	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$-2$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(1+\cdots)q^{6}+\cdots$
1290.2.c.b	$1290$	$2$	1290.c	129.d	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$-2$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+(-1-\beta )q^{3}+q^{4}-q^{5}+(1+\cdots)q^{6}+\cdots$
1290.2.c.c	$1290$	$2$	1290.c	129.d	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$-2$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+(-1+\beta )q^{3}+q^{4}+q^{5}+(1+\cdots)q^{6}+\cdots$
1290.2.c.d	$1290$	$2$	1290.c	129.d	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-2$	$0$	$2$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}-\zeta_{6}q^{3}+q^{4}+q^{5}+\zeta_{6}q^{6}+\cdots$
1290.2.c.e	$1290$	$2$	1290.c	129.d	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$2$	$0$	$-2$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}-\zeta_{6}q^{3}+q^{4}-q^{5}-\zeta_{6}q^{6}+\cdots$
1290.2.c.f	$1290$	$2$	1290.c	129.d	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$2$	$2$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+(1+\beta )q^{3}+q^{4}-q^{5}+(1+\beta )q^{6}+\cdots$
1290.2.c.g	$1290$	$2$	1290.c	129.d	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$2$	$2$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+(1+\beta )q^{3}+q^{4}+q^{5}+(1+\beta )q^{6}+\cdots$
1290.2.c.h	$1290$	$2$	1290.c	129.d	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$2$	$2$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+(1-\beta )q^{3}+q^{4}+q^{5}+(1-\beta )q^{6}+\cdots$
1290.2.c.i	$1290$	$2$	1290.c	129.d	$2$	$10$	$10$	$10.301$	10.0.$\cdots$.1	None		$2$	$0$	$-10$	$0$	$10$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
1290.2.c.j	$1290$	$2$	1290.c	129.d	$2$	$10$	$10$	$10.301$	10.0.$\cdots$.1	None		$2$	$0$	$-10$	$2$	$-10$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
1290.2.c.k	$1290$	$2$	1290.c	129.d	$2$	$10$	$10$	$10.301$	10.0.$\cdots$.1	None		$2$	$0$	$10$	$-2$	$10$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}-\beta _{3}q^{3}+q^{4}+q^{5}-\beta _{3}q^{6}+\cdots$
1290.2.c.l	$1290$	$2$	1290.c	129.d	$2$	$10$	$10$	$10.301$	10.0.$\cdots$.1	None		$2$	$0$	$10$	$0$	$-10$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+\beta _{2}q^{3}+q^{4}-q^{5}+\beta _{2}q^{6}+\cdots$
1290.2.d.a	$1290$	$2$	1290.d	5.b	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$-4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-iq^{3}-q^{4}+(-2-i)q^{5}+\cdots$
1290.2.d.b	$1290$	$2$	1290.d	5.b	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}+iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots$
1290.2.d.c	$1290$	$2$	1290.d	5.b	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-1}) $	None		$2$	$1$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots$
1290.2.d.d	$1290$	$2$	1290.d	5.b	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-1}) $	None		$2$	$1$	$0$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}+iq^{3}-q^{4}+(1-2i)q^{5}+q^{6}+\cdots$
1290.2.d.e	$1290$	$2$	1290.d	5.b	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-iq^{3}-q^{4}+(2+i)q^{5}+q^{6}+\cdots$
1290.2.d.f	$1290$	$2$	1290.d	5.b	$2$	$2$	$2$	$10.301$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}+iq^{3}-q^{4}+(2+i)q^{5}+q^{6}+\cdots$
1290.2.d.g	$1290$	$2$	1290.d	5.b	$2$	$6$	$6$	$10.301$	6.0.350464.1	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{4}q^{2}-\beta _{4}q^{3}-q^{4}+(-\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots$
1290.2.d.h	$1290$	$2$	1290.d	5.b	$2$	$8$	$8$	$10.301$	8.0.$\cdots$.1	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{4}q^{2}-\beta _{4}q^{3}-q^{4}+\beta _{2}q^{5}+q^{6}+\cdots$
1290.2.d.i	$1290$	$2$	1290.d	5.b	$2$	$14$	$14$	$10.301$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None		$2$	$0$	$0$	$0$	$-2$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{5}q^{2}+\beta _{5}q^{3}-q^{4}-\beta _{8}q^{5}-q^{6}+\cdots$
1290.2.f.a	$1290$	$2$	1290.f	645.d	$2$	$88$	$88$	$10.301$		None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1290.2.i.a	$1290$	$2$	1290.i	43.c	$3$	$2$	$1$	$10.301$	$\Q(\sqrt{-3}) $	None		$2$	$1$	$-2$	$-1$	$-1$	$-3$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+(-1+\zeta_{6})q^{3}+q^{4}+(-1+\zeta_{6})q^{5}+\cdots$
1290.2.i.b	$1290$	$2$	1290.i	43.c	$3$	$2$	$1$	$10.301$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-2$	$-1$	$1$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+(-1+\zeta_{6})q^{3}+q^{4}+(1-\zeta_{6})q^{5}+\cdots$
1290.2.i.c	$1290$	$2$	1290.i	43.c	$3$	$2$	$1$	$10.301$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-2$	$-1$	$1$	$0$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+(-1+\zeta_{6})q^{3}+q^{4}+(1-\zeta_{6})q^{5}+\cdots$
1290.2.i.d	$1290$	$2$	1290.i	43.c	$3$	$2$	$1$	$10.301$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$2$	$-1$	$-1$	$-4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+(-1+\zeta_{6})q^{3}+q^{4}+(-1+\zeta_{6})q^{5}+\cdots$
1290.2.i.e	$1290$	$2$	1290.i	43.c	$3$	$2$	$1$	$10.301$	$\Q(\sqrt{-3}) $	None		$2$	$1$	$2$	$-1$	$-1$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+(-1+\zeta_{6})q^{3}+q^{4}+(-1+\zeta_{6})q^{5}+\cdots$
1290.2.i.f	$1290$	$2$	1290.i	43.c	$3$	$2$	$1$	$10.301$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$2$	$-1$	$1$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+(-1+\zeta_{6})q^{3}+q^{4}+(1-\zeta_{6})q^{5}+\cdots$
1290.2.i.g	$1290$	$2$	1290.i	43.c	$3$	$2$	$1$	$10.301$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$2$	$1$	$-1$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+(1-\zeta_{6})q^{3}+q^{4}+(-1+\zeta_{6})q^{5}+\cdots$

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Elliptic 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.