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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 (22 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	3	5	31	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2790.2.a.c	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+4q^{11}+\cdots$
2790.2.a.d	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$-5$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-5q^{7}-q^{8}-q^{10}+\cdots$
2790.2.a.e	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$-4$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-4q^{7}-q^{8}-q^{10}+\cdots$
2790.2.a.i	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+4q^{11}+\cdots$
2790.2.a.j	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+6q^{11}+\cdots$
2790.2.a.k	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots$
2790.2.a.m	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$4$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+4q^{7}-q^{8}-q^{10}+\cdots$
2790.2.a.n	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$-5$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-5q^{7}+q^{8}-q^{10}+\cdots$
2790.2.a.o	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$-4$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots$
2790.2.a.r	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
2790.2.a.s	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$0$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-4q^{11}+\cdots$
2790.2.a.t	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$2$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots$
2790.2.a.v	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$4$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+4q^{7}+q^{8}-q^{10}+\cdots$
2790.2.a.w	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$4$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+4q^{7}+q^{8}-q^{10}+\cdots$
2790.2.a.ba	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+4q^{11}+\cdots$
2790.2.a.bb	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
2790.2.a.bc	$2790$	$2$	2790.a	1.a	$1$	$1$	$1$	$22.278$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$4$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+4q^{7}+q^{8}+q^{10}+\cdots$
2790.2.a.bd	$2790$	$2$	2790.a	1.a	$1$	$2$	$2$	$22.278$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$-2$	$0$	$-2$	$1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+\beta q^{7}-q^{8}+q^{10}+\cdots$
2790.2.a.bf	$2790$	$2$	2790.a	1.a	$1$	$2$	$2$	$22.278$	$\Q(\sqrt{65}) $	None	✓	$1$	$0$	$-2$	$0$	$2$	$-1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-\beta q^{7}-q^{8}-q^{10}+\cdots$
2790.2.a.bh	$2790$	$2$	2790.a	1.a	$1$	$2$	$2$	$22.278$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+2\beta q^{7}+q^{8}+q^{10}+\cdots$
2790.2.a.bj	$2790$	$2$	2790.a	1.a	$1$	$4$	$4$	$22.278$	4.4.17428.1	None	✓	$1$	$0$	$-4$	$0$	$-4$	$5$	$+$	$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+(1-\beta _{2})q^{7}-q^{8}+\cdots$
2790.2.a.bk	$2790$	$2$	2790.a	1.a	$1$	$4$	$4$	$22.278$	4.4.17428.1	None	✓	$1$	$0$	$4$	$0$	$4$	$5$	$-$	$+$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+(1-\beta _{2})q^{7}+q^{8}+\cdots$

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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.