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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 (19 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	7	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5054.2.a.a	$5054$	$2$	5054.a	1.a	$1$	$1$	$1$	$40.356$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-3q^{9}+\cdots$
5054.2.a.b	$5054$	$2$	5054.a	1.a	$1$	$1$	$1$	$40.356$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$1$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}-3q^{9}+\cdots$
5054.2.a.d	$5054$	$2$	5054.a	1.a	$1$	$2$	$2$	$40.356$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$-1$	$-1$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta q^{3}+q^{4}+(1-3\beta )q^{5}+\beta q^{6}+\cdots$
5054.2.a.e	$5054$	$2$	5054.a	1.a	$1$	$2$	$2$	$40.356$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$-2$	$-1$	$1$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta q^{3}+q^{4}+(1-\beta )q^{5}+\beta q^{6}+\cdots$
5054.2.a.h	$5054$	$2$	5054.a	1.a	$1$	$2$	$2$	$40.356$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-2$	$1$	$-1$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}+(-1+\beta )q^{5}-\beta q^{6}+\cdots$
5054.2.a.j	$5054$	$2$	5054.a	1.a	$1$	$2$	$2$	$40.356$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-3$	$-4$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1-\beta )q^{3}+q^{4}+(-3+2\beta )q^{5}+\cdots$
5054.2.a.l	$5054$	$2$	5054.a	1.a	$1$	$2$	$2$	$40.356$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-1$	$-3$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta q^{3}+q^{4}+(-1-\beta )q^{5}-\beta q^{6}+\cdots$
5054.2.a.m	$5054$	$2$	5054.a	1.a	$1$	$2$	$2$	$40.356$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$2$	$-1$	$-1$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta q^{3}+q^{4}+(-1+\beta )q^{5}-\beta q^{6}+\cdots$
5054.2.a.n	$5054$	$2$	5054.a	1.a	$1$	$2$	$2$	$40.356$	$\Q(\sqrt{29}) $	None	✓	$1$	$1$	$2$	$-1$	$-1$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta q^{3}+q^{4}+(-1+\beta )q^{5}-\beta q^{6}+\cdots$
5054.2.a.p	$5054$	$2$	5054.a	1.a	$1$	$2$	$2$	$40.356$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$1$	$2$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}+q^{5}+\beta q^{6}-q^{7}+\cdots$
5054.2.a.s	$5054$	$2$	5054.a	1.a	$1$	$3$	$3$	$40.356$	$\Q(\zeta_{18})^+$	None	✓	$1$	$1$	$-3$	$3$	$-3$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(-1+\beta _{2})q^{5}+\cdots$
5054.2.a.t	$5054$	$2$	5054.a	1.a	$1$	$3$	$3$	$40.356$	$\Q(\zeta_{18})^+$	None	✓	$1$	$1$	$3$	$-3$	$-3$	$3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1+\beta _{2})q^{5}+\cdots$
5054.2.a.v	$5054$	$2$	5054.a	1.a	$1$	$4$	$4$	$40.356$	$\Q(\zeta_{20})^+$	None	✓	$1$	$1$	$-4$	$-4$	$2$	$4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots$
5054.2.a.z	$5054$	$2$	5054.a	1.a	$1$	$6$	$6$	$40.356$	6.6.36538000.1	None	✓	$1$	$1$	$-6$	$0$	$-1$	$6$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{4}q^{5}-\beta _{1}q^{6}+\cdots$
5054.2.a.bb	$5054$	$2$	5054.a	1.a	$1$	$6$	$6$	$40.356$	6.6.1528713.1	None	✓	$1$	$1$	$-6$	$3$	$-3$	$-6$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{3}q^{3}+q^{4}+(-\beta _{1}-\beta _{2}-\beta _{4}+\cdots)q^{5}+\cdots$
5054.2.a.bc	$5054$	$2$	5054.a	1.a	$1$	$6$	$6$	$40.356$	6.6.1528713.1	None	✓	$1$	$1$	$6$	$-3$	$-3$	$-6$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{3}q^{3}+q^{4}+(-\beta _{1}-\beta _{2}-\beta _{4}+\cdots)q^{5}+\cdots$
5054.2.a.bd	$5054$	$2$	5054.a	1.a	$1$	$6$	$6$	$40.356$	6.6.48952000.1	None	✓	$1$	$1$	$6$	$-2$	$-5$	$-6$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots$
5054.2.a.bf	$5054$	$2$	5054.a	1.a	$1$	$8$	$8$	$40.356$	8.8.$\cdots$.1	None	✓	$1$	$1$	$-8$	$-4$	$6$	$-8$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1-\beta _{5}+\beta _{7})q^{3}+q^{4}+(1+\cdots)q^{5}+\cdots$
5054.2.a.bh	$5054$	$2$	5054.a	1.a	$1$	$8$	$8$	$40.356$	8.8.$\cdots$.1	None	✓	$1$	$1$	$8$	$-4$	$-2$	$8$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1-\beta _{2}-\beta _{5})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$

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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.