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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 52 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
2898.2.a.a	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-3$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}-q^{7}-q^{8}+3q^{10}+\cdots$
2898.2.a.b	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots$
2898.2.a.c	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
2898.2.a.d	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
2898.2.a.e	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
2898.2.a.f	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots$
2898.2.a.g	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots$
2898.2.a.h	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots$
2898.2.a.i	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots$
2898.2.a.j	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\cdots$
2898.2.a.k	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-3$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\cdots$
2898.2.a.l	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{5}+q^{7}+q^{8}-2q^{10}+\cdots$
2898.2.a.m	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
2898.2.a.n	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{11}-6q^{13}+\cdots$
2898.2.a.o	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-6q^{11}+2q^{13}+\cdots$
2898.2.a.p	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-4q^{11}+q^{14}+\cdots$
2898.2.a.q	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
2898.2.a.r	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{5}-q^{7}+q^{8}+2q^{10}+\cdots$
2898.2.a.s	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}+2q^{10}+\cdots$
2898.2.a.t	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+3q^{5}+q^{7}+q^{8}+3q^{10}+\cdots$
2898.2.a.u	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$4$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+4q^{5}+q^{7}+q^{8}+4q^{10}+\cdots$
2898.2.a.v	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$0$	$-4$	$2$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots$
2898.2.a.w	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$-2$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-1+\beta )q^{5}+q^{7}-q^{8}+\cdots$
2898.2.a.x	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$-2$	$0$	$3$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}-q^{8}+\cdots$
2898.2.a.y	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$0$	$4$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(2+\beta )q^{5}-q^{7}-q^{8}+\cdots$
2898.2.a.z	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$0$	$-4$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-2+\beta )q^{5}-q^{7}+q^{8}+\cdots$
2898.2.a.ba	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$2$	$0$	$-1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-\beta q^{5}-q^{7}+q^{8}-\beta q^{10}+\cdots$
2898.2.a.bb	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	$\Q(\sqrt{41}) $	None	✓	$1$	$0$	$2$	$0$	$-1$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-\beta q^{5}+q^{7}+q^{8}-\beta q^{10}+\cdots$
2898.2.a.bc	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	$\Q(\sqrt{41}) $	None	✓	$1$	$0$	$2$	$0$	$1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta q^{5}-q^{7}+q^{8}+\beta q^{10}+\cdots$
2898.2.a.bd	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}+q^{8}+\cdots$
2898.2.a.be	$2898$	$2$	2898.a	1.a	$1$	$3$	$3$	$23.141$	3.3.316.1	None	✓	$1$	$1$	$-3$	$0$	$-4$	$-3$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-1+\beta _{2})q^{5}-q^{7}-q^{8}+\cdots$
2898.2.a.bf	$2898$	$2$	2898.a	1.a	$1$	$3$	$3$	$23.141$	3.3.568.1	None	✓	$1$	$0$	$-3$	$0$	$-1$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta _{2}q^{5}-q^{7}-q^{8}-\beta _{2}q^{10}+\cdots$
2898.2.a.bg	$2898$	$2$	2898.a	1.a	$1$	$3$	$3$	$23.141$	3.3.568.1	None	✓	$1$	$0$	$3$	$0$	$1$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-\beta _{2}q^{5}-q^{7}+q^{8}-\beta _{2}q^{10}+\cdots$
2898.2.a.bh	$2898$	$2$	2898.a	1.a	$1$	$4$	$4$	$23.141$	4.4.271296.1	None	✓	$1$	$0$	$-4$	$0$	$0$	$4$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta _{1}q^{5}+q^{7}-q^{8}-\beta _{1}q^{10}+\cdots$
2898.2.a.bi	$2898$	$2$	2898.a	1.a	$1$	$4$	$4$	$23.141$	4.4.271296.1	None	✓	$1$	$0$	$4$	$0$	$0$	$4$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-\beta _{1}q^{5}+q^{7}+q^{8}-\beta _{1}q^{10}+\cdots$
2898.2.f.a	$2898$	$2$	2898.f	21.c	$2$	$32$	$32$	$23.141$		None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
2898.2.f.b	$2898$	$2$	2898.f	21.c	$2$	$32$	$32$	$23.141$		None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
2898.2.g.a	$2898$	$2$	2898.g	161.c	$2$	$4$	$4$	$23.141$	4.0.2312.1	None		$2$	$0$	$-4$	$0$	$-8$	$2$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}-2q^{5}+(1-\beta _{1})q^{7}-q^{8}+\cdots$
2898.2.g.b	$2898$	$2$	2898.g	161.c	$2$	$4$	$4$	$23.141$	4.0.2312.1	None		$2$	$0$	$-4$	$0$	$8$	$-2$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+2q^{5}+(-1+\beta _{1})q^{7}+\cdots$
2898.2.g.c	$2898$	$2$	2898.g	161.c	$2$	$4$	$4$	$23.141$	$\Q(i, \sqrt{7})$	None		$4$	$0$	$4$	$0$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta _{3}q^{7}+q^{8}+2\beta _{3}q^{11}+\cdots$
2898.2.g.d	$2898$	$2$	2898.g	161.c	$2$	$4$	$4$	$23.141$	$\Q(i, \sqrt{7})$	None		$4$	$0$	$4$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta _{2}q^{5}-\beta _{2}q^{7}+q^{8}+\cdots$
2898.2.g.e	$2898$	$2$	2898.g	161.c	$2$	$4$	$4$	$23.141$	$\Q(\sqrt{-2}, \sqrt{-7})$	None		$4$	$0$	$4$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}-\beta _{1}q^{5}-\beta _{3}q^{7}+q^{8}+\cdots$
2898.2.g.f	$2898$	$2$	2898.g	161.c	$2$	$4$	$4$	$23.141$	$\Q(\sqrt{-2}, \sqrt{7})$	None		$4$	$0$	$4$	$0$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}-\beta _{3}q^{7}+q^{8}+\beta _{2}q^{11}+\cdots$
2898.2.g.g	$2898$	$2$	2898.g	161.c	$2$	$4$	$4$	$23.141$	$\Q(i, \sqrt{14})$	None		$4$	$0$	$4$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}-\beta _{3}q^{7}+q^{8}+(\beta _{1}+\beta _{3})q^{11}+\cdots$
2898.2.g.h	$2898$	$2$	2898.g	161.c	$2$	$4$	$4$	$23.141$	$\Q(i, \sqrt{14})$	None		$4$	$0$	$4$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+(-\beta _{1}+\beta _{3})q^{5}-\beta _{1}q^{7}+\cdots$
2898.2.g.i	$2898$	$2$	2898.g	161.c	$2$	$16$	$16$	$23.141$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$4$	$0$	$-16$	$0$	$0$	$0$		$2^{7}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}-\beta _{12}q^{5}+\beta _{1}q^{7}-q^{8}+\cdots$
2898.2.g.j	$2898$	$2$	2898.g	161.c	$2$	$16$	$16$	$23.141$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	None		$4$	$0$	$-16$	$0$	$0$	$0$		$2^{11}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}-\beta _{8}q^{5}-\beta _{12}q^{7}-q^{8}+\cdots$
2898.2.g.k	$2898$	$2$	2898.g	161.c	$2$	$16$	$16$	$23.141$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$4$	$0$	$16$	$0$	$0$	$0$		$2^{7}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}-\beta _{12}q^{5}-\beta _{1}q^{7}+q^{8}+\cdots$
2898.2.h.a	$2898$	$2$	2898.h	69.c	$2$	$24$	$24$	$23.141$		None		$2$	$0$	$0$	$0$	$-8$	$0$			$\mathrm{SU}(2)[C_{2}]$
2898.2.h.b	$2898$	$2$	2898.h	69.c	$2$	$24$	$24$	$23.141$		None		$2$	$0$	$0$	$0$	$8$	$0$			$\mathrm{SU}(2)[C_{2}]$

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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.