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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 122 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
1110.2.a.a	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-4q^{7}+\cdots$
1110.2.a.b	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
1110.2.a.c	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+3q^{7}+\cdots$
1110.2.a.d	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$1$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+3q^{7}+\cdots$
1110.2.a.e	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
1110.2.a.f	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
1110.2.a.g	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+4q^{7}+\cdots$
1110.2.a.h	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-4q^{7}+\cdots$
1110.2.a.i	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
1110.2.a.j	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$1$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots$
1110.2.a.k	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
1110.2.a.l	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$1$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\cdots$
1110.2.a.m	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-5q^{7}+\cdots$
1110.2.a.n	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
1110.2.a.o	$1110$	$2$	1110.a	1.a	$1$	$1$	$1$	$8.863$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+4q^{7}+\cdots$
1110.2.a.p	$1110$	$2$	1110.a	1.a	$1$	$2$	$2$	$8.863$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$-2$	$-2$	$2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-\beta q^{7}+\cdots$
1110.2.a.q	$1110$	$2$	1110.a	1.a	$1$	$2$	$2$	$8.863$	$\Q(\sqrt{113}) $	None	✓	$1$	$0$	$-2$	$2$	$2$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\cdots$
1110.2.a.r	$1110$	$2$	1110.a	1.a	$1$	$2$	$2$	$8.863$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$2$	$-2$	$-2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
1110.2.a.s	$1110$	$2$	1110.a	1.a	$1$	$4$	$4$	$8.863$	4.4.54764.1	None	✓	$1$	$0$	$4$	$4$	$4$	$4$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(1+\beta _{2}+\cdots)q^{7}+\cdots$
1110.2.d.a	$1110$	$2$	1110.d	5.b	$2$	$2$	$2$	$8.863$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$-4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-iq^{3}-q^{4}+(-2-i)q^{5}+\cdots$
1110.2.d.b	$1110$	$2$	1110.d	5.b	$2$	$2$	$2$	$8.863$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}+iq^{3}-q^{4}+(-1+2i)q^{5}+\cdots$
1110.2.d.c	$1110$	$2$	1110.d	5.b	$2$	$2$	$2$	$8.863$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-iq^{3}-q^{4}+(1-2i)q^{5}+q^{6}+\cdots$
1110.2.d.d	$1110$	$2$	1110.d	5.b	$2$	$2$	$2$	$8.863$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}-q^{6}+\cdots$
1110.2.d.e	$1110$	$2$	1110.d	5.b	$2$	$2$	$2$	$8.863$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}+q^{6}+\cdots$
1110.2.d.f	$1110$	$2$	1110.d	5.b	$2$	$4$	$4$	$8.863$	$\Q(i, \sqrt{5})$	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}+\beta _{2}q^{5}-q^{6}+\cdots$
1110.2.d.g	$1110$	$2$	1110.d	5.b	$2$	$4$	$4$	$8.863$	$\Q(\zeta_{8})$	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\zeta_{8}^{2}q^{2}-\zeta_{8}^{2}q^{3}-q^{4}+(-\zeta_{8}-2\zeta_{8}^{3})q^{5}+\cdots$
1110.2.d.h	$1110$	$2$	1110.d	5.b	$2$	$4$	$4$	$8.863$	$\Q(i, \sqrt{6})$	None		$2$	$0$	$0$	$0$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{2}q^{2}-\beta _{2}q^{3}-q^{4}+(1+\beta _{2}+\beta _{3})q^{5}+\cdots$
1110.2.d.i	$1110$	$2$	1110.d	5.b	$2$	$6$	$6$	$8.863$	6.0.5161984.1	None		$2$	$0$	$0$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{4}q^{2}-\beta _{4}q^{3}-q^{4}+(-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots$
1110.2.d.j	$1110$	$2$	1110.d	5.b	$2$	$8$	$8$	$8.863$	8.0.$\cdots$.2	None		$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{3}q^{2}-\beta _{3}q^{3}-q^{4}+(\beta _{1}+\beta _{5})q^{5}+\cdots$
1110.2.e.a	$1110$	$2$	1110.e	185.d	$2$	$2$	$2$	$8.863$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$-2$	$0$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}-iq^{3}+q^{4}+(2-i)q^{5}+iq^{6}+\cdots$
1110.2.e.b	$1110$	$2$	1110.e	185.d	$2$	$2$	$2$	$8.863$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$2$	$0$	$-4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}-iq^{3}+q^{4}+(-2+i)q^{5}-iq^{6}+\cdots$
1110.2.e.c	$1110$	$2$	1110.e	185.d	$2$	$16$	$16$	$8.863$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$2$	$0$	$-16$	$0$	$-2$	$0$		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+\beta _{7}q^{3}+q^{4}-\beta _{11}q^{5}-\beta _{7}q^{6}+\cdots$
1110.2.e.d	$1110$	$2$	1110.e	185.d	$2$	$16$	$16$	$8.863$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$2$	$0$	$16$	$0$	$2$	$0$		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+\beta _{7}q^{3}+q^{4}+\beta _{11}q^{5}+\beta _{7}q^{6}+\cdots$
1110.2.h.a	$1110$	$2$	1110.h	37.b	$2$	$2$	$2$	$8.863$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$-2$	$0$	$-2$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{3}-q^{4}+iq^{5}-iq^{6}-q^{7}+\cdots$
1110.2.h.b	$1110$	$2$	1110.h	37.b	$2$	$2$	$2$	$8.863$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$-2$	$0$	$4$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{3}-q^{4}+iq^{5}-iq^{6}+2q^{7}+\cdots$
1110.2.h.c	$1110$	$2$	1110.h	37.b	$2$	$2$	$2$	$8.863$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$2$	$0$	$2$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}+q^{3}-q^{4}+iq^{5}+iq^{6}+q^{7}+\cdots$
1110.2.h.d	$1110$	$2$	1110.h	37.b	$2$	$4$	$4$	$8.863$	$\Q(i, \sqrt{73})$	None		$2$	$0$	$0$	$-4$	$0$	$-4$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{2}q^{2}-q^{3}-q^{4}+\beta _{2}q^{5}+\beta _{2}q^{6}+\cdots$
1110.2.h.e	$1110$	$2$	1110.h	37.b	$2$	$4$	$4$	$8.863$	$\Q(i, \sqrt{33})$	None		$2$	$0$	$0$	$-4$	$0$	$2$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{2}q^{2}-q^{3}-q^{4}+\beta _{2}q^{5}-\beta _{2}q^{6}+\cdots$
1110.2.h.f	$1110$	$2$	1110.h	37.b	$2$	$6$	$6$	$8.863$	6.0.279290944.1	None		$2$	$0$	$0$	$6$	$0$	$-6$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{2}q^{2}+q^{3}-q^{4}+\beta _{2}q^{5}+\beta _{2}q^{6}+\cdots$
1110.2.h.g	$1110$	$2$	1110.h	37.b	$2$	$8$	$8$	$8.863$	$\mathbb{Q}[x]/(x^{8} + \cdots)$	None		$2$	$0$	$0$	$8$	$0$	$-4$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{2}q^{2}+q^{3}-q^{4}+\beta _{2}q^{5}-\beta _{2}q^{6}+\cdots$
1110.2.i.a	$1110$	$2$	1110.i	37.c	$3$	$2$	$1$	$8.863$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$-1$	$1$	$4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots$
1110.2.i.b	$1110$	$2$	1110.i	37.c	$3$	$2$	$1$	$8.863$	$\Q(\sqrt{-3}) $	None		$2$	$1$	$-1$	$1$	$-1$	$-3$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots$
1110.2.i.c	$1110$	$2$	1110.i	37.c	$3$	$2$	$1$	$8.863$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$-1$	$-1$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots$
1110.2.i.d	$1110$	$2$	1110.i	37.c	$3$	$2$	$1$	$8.863$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$-1$	$1$	$1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots$
1110.2.i.e	$1110$	$2$	1110.i	37.c	$3$	$2$	$1$	$8.863$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$1$	$-1$	$3$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots$
1110.2.i.f	$1110$	$2$	1110.i	37.c	$3$	$2$	$1$	$8.863$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$1$	$1$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots$
1110.2.i.g	$1110$	$2$	1110.i	37.c	$3$	$2$	$1$	$8.863$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$1$	$1$	$0$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots$
1110.2.i.h	$1110$	$2$	1110.i	37.c	$3$	$2$	$1$	$8.863$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$1$	$1$	$5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots$
1110.2.i.i	$1110$	$2$	1110.i	37.c	$3$	$4$	$2$	$8.863$	$\Q(\sqrt{-3}, \sqrt{145})$	None		$2$	$0$	$-2$	$-2$	$2$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\beta _{2})q^{2}-\beta _{2}q^{3}-\beta _{2}q^{4}+\beta _{2}q^{5}+\cdots$
1110.2.i.j	$1110$	$2$	1110.i	37.c	$3$	$4$	$2$	$8.863$	$\Q(\sqrt{-3}, \sqrt{73})$	None		$2$	$0$	$-2$	$2$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\beta _{2}q^{2}+(1-\beta _{2})q^{3}+(-1+\beta _{2})q^{4}+\cdots$

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Elliptic 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.