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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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6048.2.a.e	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}-3q^{11}+2q^{13}+2q^{17}+\cdots$
6048.2.a.g	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}+2q^{11}+4q^{13}+3q^{17}+\cdots$
6048.2.a.j	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}+3q^{11}+2q^{13}+2q^{17}+\cdots$
6048.2.a.m	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-4q^{11}+q^{13}-5q^{17}-2q^{19}+\cdots$
6048.2.a.n	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+4q^{11}+q^{13}+5q^{17}-2q^{19}+\cdots$
6048.2.a.o	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{7}-2q^{11}+4q^{13}-3q^{17}+\cdots$
6048.2.a.u	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$3$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-q^{7}+q^{11}+2q^{13}+2q^{17}+\cdots$
6048.2.a.x	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$3$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}+q^{7}-q^{11}+2q^{13}+2q^{17}+\cdots$
6048.2.a.z	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{5}-q^{7}+(1-\beta )q^{11}-2\beta q^{13}+\cdots$
6048.2.a.bb	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$2$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{5}+q^{7}+(2+\beta )q^{11}+\beta q^{13}+\cdots$
6048.2.a.bc	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$-1$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{5}-q^{7}-2\beta q^{11}+(-5+\beta )q^{13}+\cdots$
6048.2.a.be	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$1$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}-q^{7}+2\beta q^{11}+(-5+\beta )q^{13}+\cdots$
6048.2.a.bi	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+q^{7}+(-2+\beta )q^{11}-\beta q^{13}+\cdots$
6048.2.a.bj	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+q^{7}+(1+\beta )q^{11}+2\beta q^{13}+\cdots$
6048.2.a.bk	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.39528.1	None	✓	$1$	$0$	$0$	$0$	$-2$	$-4$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{5}-q^{7}-\beta _{1}q^{11}+(2+\cdots)q^{13}+\cdots$
6048.2.a.bl	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.25808.1	None	✓	$1$	$0$	$0$	$0$	$-2$	$-4$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{5}-q^{7}+(1+\beta _{1})q^{11}+\cdots$
6048.2.a.bp	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.39528.1	None	✓	$1$	$0$	$0$	$0$	$-2$	$4$	$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{5}+q^{7}+\beta _{1}q^{11}+(2+\cdots)q^{13}+\cdots$
6048.2.a.br	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.22896.1	None	✓	$1$	$0$	$0$	$0$	$2$	$-4$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{5}-q^{7}+\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$
6048.2.a.bs	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.39528.1	None	✓	$1$	$0$	$0$	$0$	$2$	$-4$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{5}-q^{7}+\beta _{1}q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots$
6048.2.a.bt	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.39528.1	None	✓	$1$	$0$	$0$	$0$	$2$	$4$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{5}+q^{7}-\beta _{1}q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots$
6048.2.a.bu	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.25808.1	None	✓	$1$	$0$	$0$	$0$	$2$	$4$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{5}+q^{7}+(1+\beta _{1})q^{11}+(-1+\cdots)q^{13}+\cdots$
6048.2.a.bv	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.22896.1	None	✓	$1$	$0$	$0$	$0$	$2$	$4$	$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{5}+q^{7}-\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$

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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.