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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 (1-50 of 213 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1890.2.a.a	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
1890.2.a.b	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
1890.2.a.c	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
1890.2.a.d	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
1890.2.a.e	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
1890.2.a.f	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
1890.2.a.g	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
1890.2.a.h	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
1890.2.a.i	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
1890.2.a.j	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
1890.2.a.k	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
1890.2.a.l	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
1890.2.a.m	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
1890.2.a.n	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
1890.2.a.o	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
1890.2.a.p	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
1890.2.a.q	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
1890.2.a.r	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
1890.2.a.s	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
1890.2.a.t	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
1890.2.a.u	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
1890.2.a.v	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
1890.2.a.w	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
1890.2.a.x	$1890$	$2$	1890.a	1.a	$1$	$1$	$1$	$15.092$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
1890.2.a.y	$1890$	$2$	1890.a	1.a	$1$	$2$	$2$	$15.092$	$\Q(\sqrt{97}) $	None	✓	$1$	$1$	$-2$	$0$	$-2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
1890.2.a.z	$1890$	$2$	1890.a	1.a	$1$	$2$	$2$	$15.092$	$\Q(\sqrt{73}) $	None	✓	$1$	$0$	$-2$	$0$	$-2$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
1890.2.a.ba	$1890$	$2$	1890.a	1.a	$1$	$2$	$2$	$15.092$	$\Q(\sqrt{97}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
1890.2.a.bb	$1890$	$2$	1890.a	1.a	$1$	$2$	$2$	$15.092$	$\Q(\sqrt{73}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
1890.2.b.a	$1890$	$2$	1890.b	21.c	$2$	$8$	$8$	$15.092$	8.0.303595776.1	None		$2$	$0$	$0$	$0$	$-8$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{4}q^{2}-q^{4}-q^{5}+(\beta _{1}-\beta _{5}-\beta _{6}+\cdots)q^{7}+\cdots$
1890.2.b.b	$1890$	$2$	1890.b	21.c	$2$	$8$	$8$	$15.092$	8.0.303595776.1	None		$2$	$0$	$0$	$0$	$8$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{4}q^{2}-q^{4}+q^{5}+(-\beta _{1}+\beta _{5}-\beta _{6}+\cdots)q^{7}+\cdots$
1890.2.b.c	$1890$	$2$	1890.b	21.c	$2$	$12$	$12$	$15.092$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$0$	$0$	$-12$	$-4$		$2^{6}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{5}q^{2}-q^{4}-q^{5}-\beta _{4}q^{7}+\beta _{5}q^{8}+\cdots$
1890.2.b.d	$1890$	$2$	1890.b	21.c	$2$	$12$	$12$	$15.092$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$0$	$0$	$12$	$-4$		$2^{6}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{5}q^{2}-q^{4}+q^{5}+\beta _{6}q^{7}+\beta _{5}q^{8}+\cdots$
1890.2.d.a	$1890$	$2$	1890.d	105.g	$2$	$8$	$8$	$15.092$	8.0.303595776.1	None		$4$	$0$	$-8$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+(-\beta _{3}-\beta _{5}+\beta _{7})q^{5}+\cdots$
1890.2.d.b	$1890$	$2$	1890.d	105.g	$2$	$8$	$8$	$15.092$	8.0.$\cdots$.2	None		$4$	$0$	$-8$	$0$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+(-\beta _{1}-\beta _{3})q^{5}+(-\beta _{4}+\cdots)q^{7}+\cdots$
1890.2.d.c	$1890$	$2$	1890.d	105.g	$2$	$8$	$8$	$15.092$	8.0.$\cdots$.2	None		$4$	$0$	$8$	$0$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+(\beta _{1}-\beta _{3})q^{5}-\beta _{4}q^{7}+\cdots$
1890.2.d.d	$1890$	$2$	1890.d	105.g	$2$	$8$	$8$	$15.092$	8.0.303595776.1	None		$4$	$0$	$8$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+(\beta _{1}+\beta _{3}-\beta _{5})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots$
1890.2.d.e	$1890$	$2$	1890.d	105.g	$2$	$16$	$16$	$15.092$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$4$	$0$	$-16$	$0$	$0$	$0$		$2^{8}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}-\beta _{15}q^{5}-\beta _{6}q^{7}-q^{8}+\cdots$
1890.2.d.f	$1890$	$2$	1890.d	105.g	$2$	$16$	$16$	$15.092$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$4$	$0$	$16$	$0$	$0$	$0$		$2^{8}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}-\beta _{8}q^{5}-\beta _{11}q^{7}+q^{8}+\cdots$
1890.2.g.a	$1890$	$2$	1890.g	5.b	$2$	$2$	$2$	$15.092$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$-4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{4}+(-2+i)q^{5}-iq^{7}+\cdots$
1890.2.g.b	$1890$	$2$	1890.g	5.b	$2$	$2$	$2$	$15.092$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$-4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{4}+(-2-i)q^{5}+iq^{7}+\cdots$
1890.2.g.c	$1890$	$2$	1890.g	5.b	$2$	$2$	$2$	$15.092$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-q^{4}+(-1-2i)q^{5}-iq^{7}+\cdots$
1890.2.g.d	$1890$	$2$	1890.g	5.b	$2$	$2$	$2$	$15.092$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-q^{4}+(-1-2i)q^{5}-iq^{7}+\cdots$
1890.2.g.e	$1890$	$2$	1890.g	5.b	$2$	$2$	$2$	$15.092$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-q^{4}+(-1-2i)q^{5}+iq^{7}+\cdots$
1890.2.g.f	$1890$	$2$	1890.g	5.b	$2$	$2$	$2$	$15.092$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-q^{4}+(-1-2i)q^{5}+iq^{7}+\cdots$
1890.2.g.g	$1890$	$2$	1890.g	5.b	$2$	$2$	$2$	$15.092$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{4}+(1+2i)q^{5}+iq^{7}-iq^{8}+\cdots$
1890.2.g.h	$1890$	$2$	1890.g	5.b	$2$	$2$	$2$	$15.092$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-q^{4}+(1-2i)q^{5}-iq^{7}+iq^{8}+\cdots$
1890.2.g.i	$1890$	$2$	1890.g	5.b	$2$	$2$	$2$	$15.092$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{4}+(1+2i)q^{5}-iq^{7}-iq^{8}+\cdots$
1890.2.g.j	$1890$	$2$	1890.g	5.b	$2$	$2$	$2$	$15.092$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-q^{4}+(1-2i)q^{5}+iq^{7}+iq^{8}+\cdots$
1890.2.g.k	$1890$	$2$	1890.g	5.b	$2$	$2$	$2$	$15.092$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{4}+(2+i)q^{5}+iq^{7}-iq^{8}+\cdots$
1890.2.g.l	$1890$	$2$	1890.g	5.b	$2$	$2$	$2$	$15.092$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{4}+(2-i)q^{5}-iq^{7}-iq^{8}+\cdots$

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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.