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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 (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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3150.2.a.c	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{11}+q^{13}+\cdots$
3150.2.a.d	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{11}+6q^{13}+\cdots$
3150.2.a.g	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{13}+q^{14}+\cdots$
3150.2.a.h	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+q^{13}+q^{14}+\cdots$
3150.2.a.j	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+5q^{11}-6q^{13}+\cdots$
3150.2.a.l	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-6q^{11}-2q^{13}+\cdots$
3150.2.a.n	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{11}-q^{13}+\cdots$
3150.2.a.o	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-q^{13}-q^{14}+\cdots$
3150.2.a.p	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+4q^{13}-q^{14}+\cdots$
3150.2.a.t	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+4q^{11}+2q^{13}+\cdots$
3150.2.a.v	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-6q^{11}+2q^{13}+\cdots$
3150.2.a.w	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-4q^{11}+2q^{13}+\cdots$
3150.2.a.x	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-3q^{11}-2q^{13}+\cdots$
3150.2.a.z	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-4q^{13}-q^{14}+\cdots$
3150.2.a.ba	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-2q^{13}-q^{14}+\cdots$
3150.2.a.bd	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{11}-7q^{13}+\cdots$
3150.2.a.bf	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+4q^{11}-3q^{13}+\cdots$
3150.2.a.bg	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-6q^{11}-q^{13}+\cdots$
3150.2.a.bh	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-4q^{11}-6q^{13}+\cdots$
3150.2.a.bi	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-4q^{11}+3q^{13}+\cdots$
3150.2.a.bk	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-2q^{11}-6q^{13}+\cdots$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.