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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 (29 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	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9240.2.a.a	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}+q^{11}-2q^{13}+\cdots$
9240.2.a.b	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}-q^{11}-4q^{13}+\cdots$
9240.2.a.e	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+2q^{13}+\cdots$
9240.2.a.f	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$1$	$+$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}+q^{11}+2q^{13}+\cdots$
9240.2.a.k	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+2q^{13}+\cdots$
9240.2.a.l	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+6q^{13}+\cdots$
9240.2.a.q	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}-2q^{13}+\cdots$
9240.2.a.r	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}-2q^{13}+\cdots$
9240.2.a.u	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}-q^{11}+2q^{13}+\cdots$
9240.2.a.v	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}-q^{11}+2q^{13}+\cdots$
9240.2.a.w	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}-q^{11}+2q^{13}+\cdots$
9240.2.a.bb	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots$
9240.2.a.bc	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}-2q^{13}+\cdots$
9240.2.a.bd	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}+6q^{13}+\cdots$
9240.2.a.be	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$-1$	$+$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}-q^{11}-6q^{13}+\cdots$
9240.2.a.bf	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$-1$	$-$	$-$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}+q^{11}-2q^{13}+\cdots$
9240.2.a.bg	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$-1$	$-$	$-$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+4q^{13}+\cdots$
9240.2.a.bi	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$1$	$-$	$-$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}-q^{11}-2q^{13}+\cdots$
9240.2.a.bk	$9240$	$2$	9240.a	1.a	$1$	$2$	$2$	$73.782$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$0$	$-2$	$-2$	$-2$	$-$	$+$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}+q^{11}-2q^{13}+\cdots$
9240.2.a.bn	$9240$	$2$	9240.a	1.a	$1$	$2$	$2$	$73.782$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$-2$	$2$	$-2$	$-$	$+$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}-q^{11}-2\beta q^{13}+\cdots$
9240.2.a.bo	$9240$	$2$	9240.a	1.a	$1$	$2$	$2$	$73.782$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$-2$	$2$	$-2$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+(-3+\cdots)q^{13}+\cdots$
9240.2.a.bu	$9240$	$2$	9240.a	1.a	$1$	$2$	$2$	$73.782$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$2$	$2$	$2$	$-$	$-$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}-q^{11}-2q^{13}+\cdots$
9240.2.a.bw	$9240$	$2$	9240.a	1.a	$1$	$2$	$2$	$73.782$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$2$	$2$	$2$	$+$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}+q^{11}+(-2+\cdots)q^{13}+\cdots$
9240.2.a.bx	$9240$	$2$	9240.a	1.a	$1$	$3$	$3$	$73.782$	3.3.2300.1	None	✓	$1$	$1$	$0$	$-3$	$-3$	$3$	$+$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}+q^{11}+(-1+\cdots)q^{13}+\cdots$
9240.2.a.cb	$9240$	$2$	9240.a	1.a	$1$	$4$	$4$	$73.782$	4.4.16448.2	None	✓	$1$	$1$	$0$	$-4$	$4$	$4$	$+$	$+$	$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-q^{11}-\beta _{2}q^{13}+\cdots$
9240.2.a.cc	$9240$	$2$	9240.a	1.a	$1$	$4$	$4$	$73.782$	4.4.40864.1	None	✓	$1$	$1$	$0$	$4$	$-4$	$-4$	$+$	$-$	$+$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}+q^{11}+(-2+\cdots)q^{13}+\cdots$
9240.2.a.ce	$9240$	$2$	9240.a	1.a	$1$	$4$	$4$	$73.782$	4.4.19664.1	None	✓	$1$	$1$	$0$	$4$	$-4$	$4$	$+$	$-$	$+$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+\beta _{1}q^{13}+\cdots$
9240.2.a.cf	$9240$	$2$	9240.a	1.a	$1$	$4$	$4$	$73.782$	4.4.19664.1	None	✓	$1$	$1$	$0$	$4$	$4$	$-4$	$+$	$-$	$-$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}-q^{11}+(1+\beta _{1}+\cdots)q^{13}+\cdots$
9240.2.a.ch	$9240$	$2$	9240.a	1.a	$1$	$5$	$5$	$73.782$	5.5.2245192.1	None	✓	$1$	$1$	$0$	$-5$	$-5$	$-5$	$+$	$+$	$+$	$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}-q^{11}+\beta _{2}q^{13}+\cdots$

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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.