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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 (21 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	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3120.2.a.a	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$-4$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-4q^{7}+q^{9}-q^{13}+q^{15}+\cdots$
3120.2.a.d	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}-5q^{11}-q^{13}+\cdots$
3120.2.a.f	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}+5q^{11}+q^{13}+\cdots$
3120.2.a.g	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+2q^{7}+q^{9}+6q^{11}-q^{13}+\cdots$
3120.2.a.h	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$4$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+4q^{7}+q^{9}-4q^{11}+q^{13}+\cdots$
3120.2.a.j	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$-2$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-2q^{7}+q^{9}+q^{13}-q^{15}+\cdots$
3120.2.a.k	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}-4q^{11}+q^{13}-q^{15}+\cdots$
3120.2.a.m	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$3$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+3q^{7}+q^{9}+3q^{11}-q^{13}+\cdots$
3120.2.a.n	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$3$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+3q^{7}+q^{9}+5q^{11}+q^{13}+\cdots$
3120.2.a.s	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$-4$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}+q^{13}+\cdots$
3120.2.a.u	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$-3$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-3q^{7}+q^{9}+q^{11}-q^{13}+\cdots$
3120.2.a.x	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{9}+4q^{11}+q^{13}+q^{15}+\cdots$
3120.2.a.y	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+2q^{7}+q^{9}-4q^{11}-q^{13}+\cdots$
3120.2.a.z	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+2q^{7}+q^{9}+2q^{11}-q^{13}+\cdots$
3120.2.a.ba	$3120$	$2$	3120.a	1.a	$1$	$1$	$1$	$24.913$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$5$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+5q^{7}+q^{9}-q^{11}+q^{13}+\cdots$
3120.2.a.bd	$3120$	$2$	3120.a	1.a	$1$	$2$	$2$	$24.913$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$0$	$2$	$-2$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-\beta q^{7}+q^{9}+\beta q^{11}-q^{13}+\cdots$
3120.2.a.bf	$3120$	$2$	3120.a	1.a	$1$	$2$	$2$	$24.913$	$\Q(\sqrt{41}) $	None	✓	$1$	$0$	$0$	$2$	$-2$	$1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+\beta q^{7}+q^{9}+(2+\beta )q^{11}+\cdots$
3120.2.a.bg	$3120$	$2$	3120.a	1.a	$1$	$2$	$2$	$24.913$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$2$	$2$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+\beta q^{7}+q^{9}+(4-\beta )q^{11}+\cdots$
3120.2.a.bh	$3120$	$2$	3120.a	1.a	$1$	$3$	$3$	$24.913$	3.3.1849.1	None	✓	$1$	$0$	$0$	$-3$	$-3$	$-5$	$+$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+(-2+\beta _{1})q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$
3120.2.a.bi	$3120$	$2$	3120.a	1.a	$1$	$3$	$3$	$24.913$	3.3.940.1	None	✓	$1$	$0$	$0$	$-3$	$3$	$-1$	$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-\beta _{2}q^{7}+q^{9}+(-2-\beta _{1}+\cdots)q^{11}+\cdots$
3120.2.a.bj	$3120$	$2$	3120.a	1.a	$1$	$3$	$3$	$24.913$	3.3.316.1	None	✓	$1$	$0$	$0$	$3$	$-3$	$-1$	$-$	$-$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+\beta _{1}q^{7}+q^{9}+\beta _{1}q^{11}+\cdots$

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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.