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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 (20 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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2400.2.a.a	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots$
2400.2.a.d	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots$
2400.2.a.e	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}+q^{9}-4q^{11}+3q^{13}+\cdots$
2400.2.a.j	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}+4q^{11}-2q^{13}+2q^{17}+\cdots$
2400.2.a.k	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{7}+q^{9}-4q^{11}-7q^{13}+\cdots$
2400.2.a.m	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{7}+q^{9}+5q^{13}+5q^{19}+\cdots$
2400.2.a.n	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{7}+q^{9}+4q^{11}+7q^{13}+\cdots$
2400.2.a.p	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{7}+q^{9}+4q^{13}+8q^{19}+\cdots$
2400.2.a.q	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
2400.2.a.r	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
2400.2.a.s	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-4q^{7}+q^{9}-4q^{13}+8q^{19}+\cdots$
2400.2.a.w	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$-3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{7}+q^{9}+5q^{13}-5q^{19}+\cdots$
2400.2.a.bb	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}-q^{13}-3q^{19}+q^{21}+\cdots$
2400.2.a.bc	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}+q^{13}+3q^{19}+q^{21}+\cdots$
2400.2.a.bd	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}+4q^{11}+3q^{13}+\cdots$
2400.2.a.bf	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{7}+q^{9}+6q^{11}+2q^{13}+\cdots$
2400.2.a.bg	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{7}+q^{9}+2q^{13}+6q^{17}+\cdots$
2400.2.a.bh	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots$
2400.2.a.bi	$2400$	$2$	2400.a	1.a	$1$	$2$	$2$	$19.164$	$\Q(\sqrt{5}) $	None	✓	$2$	$0$	$0$	$-2$	$0$	$-4$	$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{7}+q^{9}-\beta q^{11}+\beta q^{13}+\cdots$
2400.2.a.bj	$2400$	$2$	2400.a	1.a	$1$	$2$	$2$	$19.164$	$\Q(\sqrt{5}) $	None	✓	$2$	$0$	$0$	$2$	$0$	$4$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{7}+q^{9}-\beta q^{11}-\beta q^{13}+\cdots$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
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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.