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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 84 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
4896.2.a.a	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-4$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}-4q^{7}-2q^{11}+2q^{13}+q^{17}+\cdots$
4896.2.a.b	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-4$	$4$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}+4q^{7}+2q^{11}+2q^{13}+q^{17}+\cdots$
4896.2.a.c	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-2q^{7}-2q^{11}+2q^{13}-q^{17}+\cdots$
4896.2.a.d	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-4q^{11}-2q^{13}-q^{17}-8q^{23}+\cdots$
4896.2.a.e	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+4q^{11}-2q^{13}-q^{17}+8q^{23}+\cdots$
4896.2.a.f	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-2$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+2q^{7}+2q^{11}+2q^{13}-q^{17}+\cdots$
4896.2.a.g	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}+5q^{11}-q^{13}+q^{17}+\cdots$
4896.2.a.h	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{7}-5q^{11}-q^{13}+q^{17}+\cdots$
4896.2.a.i	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-6q^{13}+q^{17}+4q^{19}+6q^{23}+\cdots$
4896.2.a.j	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+4q^{11}+2q^{13}+q^{17}-4q^{19}+\cdots$
4896.2.a.k	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-4q^{11}+2q^{13}+q^{17}+4q^{19}+\cdots$
4896.2.a.l	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-6q^{13}+q^{17}-4q^{19}-6q^{23}+\cdots$
4896.2.a.m	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}-5q^{11}-5q^{13}-q^{17}+\cdots$
4896.2.a.n	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}+q^{11}-q^{13}-q^{17}+\cdots$
4896.2.a.o	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}-q^{11}-q^{13}-q^{17}+\cdots$
4896.2.a.p	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}+5q^{11}-5q^{13}-q^{17}+\cdots$
4896.2.a.q	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-2q^{7}-3q^{11}+3q^{13}+q^{17}+\cdots$
4896.2.a.r	$4896$	$2$	4896.a	1.a	$1$	$1$	$1$	$39.095$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$3$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}+2q^{7}+3q^{11}+3q^{13}+q^{17}+\cdots$
4896.2.a.s	$4896$	$2$	4896.a	1.a	$1$	$2$	$2$	$39.095$	$\Q(\sqrt{5}) $	None	✓	$2$	$1$	$0$	$0$	$-2$	$0$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{5}-\beta q^{11}-q^{13}+q^{17}+\beta q^{19}+\cdots$
4896.2.a.t	$4896$	$2$	4896.a	1.a	$1$	$2$	$2$	$39.095$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$0$	$0$	$-1$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{5}-2q^{7}-\beta q^{11}+(2+\beta )q^{13}+\cdots$
4896.2.a.u	$4896$	$2$	4896.a	1.a	$1$	$2$	$2$	$39.095$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$0$	$0$	$-1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{5}+2q^{7}+\beta q^{11}+(2+\beta )q^{13}+\cdots$
4896.2.a.v	$4896$	$2$	4896.a	1.a	$1$	$2$	$2$	$39.095$	$\Q(\sqrt{5}) $	None	✓	$2$	$1$	$0$	$0$	$2$	$0$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{5}+\beta q^{11}-q^{13}-q^{17}+\beta q^{19}+\cdots$
4896.2.a.w	$4896$	$2$	4896.a	1.a	$1$	$2$	$2$	$39.095$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$3$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+(-2+2\beta )q^{7}+(-1+\beta )q^{11}+\cdots$
4896.2.a.x	$4896$	$2$	4896.a	1.a	$1$	$2$	$2$	$39.095$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$3$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+(2-2\beta )q^{7}+(1-\beta )q^{11}+\cdots$
4896.2.a.y	$4896$	$2$	4896.a	1.a	$1$	$2$	$2$	$39.095$	$\Q(\sqrt{10}) $	None	✓	$2$	$1$	$0$	$0$	$4$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+\beta q^{7}-\beta q^{11}-4q^{13}+q^{17}+\cdots$
4896.2.a.z	$4896$	$2$	4896.a	1.a	$1$	$2$	$2$	$39.095$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$4$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-3\beta q^{7}-\beta q^{11}-4q^{13}+q^{17}+\cdots$
4896.2.a.ba	$4896$	$2$	4896.a	1.a	$1$	$3$	$3$	$39.095$	3.3.316.1	None	✓	$1$	$1$	$0$	$0$	$-3$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{5}+(-1-\beta _{1}-\beta _{2})q^{7}+\cdots$
4896.2.a.bb	$4896$	$2$	4896.a	1.a	$1$	$3$	$3$	$39.095$	3.3.316.1	None	✓	$1$	$0$	$0$	$0$	$-3$	$2$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{5}+(1+\beta _{1}+\beta _{2})q^{7}+\cdots$
4896.2.a.bc	$4896$	$2$	4896.a	1.a	$1$	$3$	$3$	$39.095$	3.3.229.1	None	✓	$1$	$0$	$0$	$0$	$-1$	$-6$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{5}-2q^{7}+(-1-\beta _{1}-\beta _{2})q^{11}+\cdots$
4896.2.a.bd	$4896$	$2$	4896.a	1.a	$1$	$3$	$3$	$39.095$	3.3.229.1	None	✓	$1$	$0$	$0$	$0$	$-1$	$6$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{5}+2q^{7}+(1+\beta _{1}+\beta _{2})q^{11}+\cdots$
4896.2.a.be	$4896$	$2$	4896.a	1.a	$1$	$3$	$3$	$39.095$	3.3.148.1	None	✓	$1$	$0$	$0$	$0$	$2$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q+(\beta _{1}+\beta _{2})q^{5}+(-1+\beta _{2})q^{7}+(3+\beta _{1}+\cdots)q^{11}+\cdots$
4896.2.a.bf	$4896$	$2$	4896.a	1.a	$1$	$3$	$3$	$39.095$	3.3.148.1	None	✓	$1$	$1$	$0$	$0$	$2$	$2$	$+$	$2$	$\mathrm{SU}(2)$	$q+(\beta _{1}+\beta _{2})q^{5}+(1-\beta _{2})q^{7}+(-3-\beta _{1}+\cdots)q^{11}+\cdots$
4896.2.a.bg	$4896$	$2$	4896.a	1.a	$1$	$4$	$4$	$39.095$	4.4.13768.1	None	✓	$1$	$1$	$0$	$0$	$-2$	$-4$	$+$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{5}+(-1+\beta _{1})q^{7}+(1+\cdots)q^{11}+\cdots$
4896.2.a.bh	$4896$	$2$	4896.a	1.a	$1$	$4$	$4$	$39.095$	4.4.13768.1	None	✓	$1$	$0$	$0$	$0$	$-2$	$4$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{5}+(1-\beta _{1})q^{7}+(-1+\cdots)q^{11}+\cdots$
4896.2.a.bi	$4896$	$2$	4896.a	1.a	$1$	$4$	$4$	$39.095$	4.4.13768.1	None	✓	$1$	$1$	$0$	$0$	$2$	$-4$	$+$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{5}+(-1+\beta _{1})q^{7}+(-1+\cdots)q^{11}+\cdots$
4896.2.a.bj	$4896$	$2$	4896.a	1.a	$1$	$4$	$4$	$39.095$	4.4.13768.1	None	✓	$1$	$0$	$0$	$0$	$2$	$4$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{5}+(1-\beta _{1})q^{7}+(1+\beta _{2}+\cdots)q^{11}+\cdots$
4896.2.a.bk	$4896$	$2$	4896.a	1.a	$1$	$6$	$6$	$39.095$	6.6.102503232.1	None	✓	$2$	$0$	$0$	$0$	$-6$	$0$	$-$	$2^{4}$	$\mathrm{SU}(2)$	$q+(-1+\beta _{3})q^{5}-\beta _{2}q^{7}-\beta _{5}q^{11}+\cdots$
4896.2.a.bl	$4896$	$2$	4896.a	1.a	$1$	$6$	$6$	$39.095$	6.6.102503232.1	None	✓	$2$	$0$	$0$	$0$	$6$	$0$	$-$	$2^{4}$	$\mathrm{SU}(2)$	$q+(1-\beta _{3})q^{5}+\beta _{2}q^{7}-\beta _{5}q^{11}+(1+\cdots)q^{13}+\cdots$
4896.2.c.a	$4896$	$2$	4896.c	17.b	$2$	$2$	$2$	$39.095$	$\Q(\sqrt{-1}) $	$\Q(\sqrt{-1}) $		$4$	$1$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{U}(1)[D_{2}]$	$q+iq^{5}-6q^{13}+(-1+i)q^{17}-11q^{25}+\cdots$
4896.2.c.b	$4896$	$2$	4896.c	17.b	$2$	$2$	$2$	$39.095$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{5}-iq^{7}+2q^{13}+(1+2i)q^{17}+\cdots$
4896.2.c.c	$4896$	$2$	4896.c	17.b	$2$	$2$	$2$	$39.095$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{5}+iq^{7}+2q^{13}+(1+2i)q^{17}+\cdots$
4896.2.c.d	$4896$	$2$	4896.c	17.b	$2$	$2$	$2$	$39.095$	$\Q(\sqrt{-1}) $	$\Q(\sqrt{-1}) $		$4$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{U}(1)[D_{2}]$	$q+2iq^{5}+6q^{13}+(-4-i)q^{17}+q^{25}+\cdots$
4896.2.c.e	$4896$	$2$	4896.c	17.b	$2$	$2$	$2$	$39.095$	$\Q(\sqrt{-1}) $	$\Q(\sqrt{-1}) $		$4$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{U}(1)[D_{2}]$	$q+2iq^{5}+6q^{13}+(4-i)q^{17}+q^{25}+\cdots$
4896.2.c.f	$4896$	$2$	4896.c	17.b	$2$	$4$	$4$	$39.095$	4.0.2312.1	$\Q(\sqrt{-17}) $		$4$	$0$	$0$	$0$	$0$	$0$		$2^{4}$	$\mathrm{U}(1)[D_{2}]$	$q+\beta _{1}q^{7}+(\beta _{1}+\beta _{3})q^{11}+(-3+\beta _{2}+\cdots)q^{13}+\cdots$
4896.2.c.g	$4896$	$2$	4896.c	17.b	$2$	$4$	$4$	$39.095$	$\Q(i, \sqrt{13})$	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{2}q^{5}+4\beta _{1}q^{7}-3\beta _{1}q^{11}-q^{13}+\cdots$
4896.2.c.h	$4896$	$2$	4896.c	17.b	$2$	$4$	$4$	$39.095$	4.0.53792.1	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{5}+(-\beta _{1}-\beta _{3})q^{7}+(-2\beta _{1}+\cdots)q^{11}+\cdots$
4896.2.c.i	$4896$	$2$	4896.c	17.b	$2$	$4$	$4$	$39.095$	4.0.53792.1	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{5}+(\beta _{1}+\beta _{3})q^{7}+(2\beta _{1}+\beta _{3})q^{11}+\cdots$
4896.2.c.j	$4896$	$2$	4896.c	17.b	$2$	$4$	$4$	$39.095$	4.0.53792.1	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{5}+(\beta _{1}+\beta _{3})q^{7}+(-2\beta _{1}-\beta _{3})q^{11}+\cdots$
4896.2.c.k	$4896$	$2$	4896.c	17.b	$2$	$4$	$4$	$39.095$	4.0.53792.1	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{5}+(-\beta _{1}-\beta _{3})q^{7}+(2\beta _{1}+\beta _{3})q^{11}+\cdots$
4896.2.c.l	$4896$	$2$	4896.c	17.b	$2$	$4$	$4$	$39.095$	4.0.2048.2	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-\beta _{1}+\beta _{2})q^{5}+\beta _{2}q^{7}-\beta _{1}q^{11}+\cdots$

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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.