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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 69 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	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	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
920.1.p.a	$920$	$1$	920.p	920.p	$2$	$2$	$2$	$0.459$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-230}) $	None	✓	$2$	$0$	$-2$	$1$	$-2$	$-1$		$1$		$q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(-1+\cdots)q^{7}+\cdots$
920.1.p.b	$920$	$1$	920.p	920.p	$2$	$2$	$2$	$0.459$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-230}) $	None	✓	$2$	$0$	$-2$	$1$	$2$	$1$		$1$		$q-q^{2}+(1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
920.1.p.c	$920$	$1$	920.p	920.p	$2$	$2$	$2$	$0.459$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-230}) $	None	✓	$2$	$0$	$2$	$-1$	$-2$	$1$		$1$		$q+q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots$
920.1.p.d	$920$	$1$	920.p	920.p	$2$	$2$	$2$	$0.459$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-230}) $	None	✓	$2$	$0$	$2$	$-1$	$2$	$-1$		$1$		$q+q^{2}-\beta q^{3}+q^{4}+q^{5}-\beta q^{6}+(-1+\cdots)q^{7}+\cdots$
920.1.p.e	$920$	$1$	920.p	920.p	$2$	$4$	$4$	$0.459$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-46}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}q^{5}+\zeta_{8}^{2}q^{8}+\cdots$
920.1.bh.a	$920$	$1$	920.bh	920.ah	$22$	$10$	$1$	$0.459$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$-1$	$0$	$-1$	$-2$		$1$		$q-\zeta_{22}q^{2}+\zeta_{22}^{2}q^{4}+\zeta_{22}^{6}q^{5}+(-\zeta_{22}^{3}+\cdots)q^{7}+\cdots$
920.1.bh.b	$920$	$1$	920.bh	920.ah	$22$	$10$	$1$	$0.459$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$1$	$0$	$1$	$2$		$1$		$q+\zeta_{22}q^{2}+\zeta_{22}^{2}q^{4}-\zeta_{22}^{6}q^{5}+(\zeta_{22}^{3}+\cdots)q^{7}+\cdots$
920.2.a.a	$920$	$2$	920.a	1.a	$1$	$1$	$1$	$7.346$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-3$	$1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+q^{5}-2q^{7}+6q^{9}+q^{13}+\cdots$
920.2.a.b	$920$	$2$	920.a	1.a	$1$	$1$	$1$	$7.346$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-2q^{9}+2q^{11}-5q^{13}+\cdots$
920.2.a.c	$920$	$2$	920.a	1.a	$1$	$1$	$1$	$7.346$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}-3q^{9}-6q^{11}-2q^{13}+\cdots$
920.2.a.d	$920$	$2$	920.a	1.a	$1$	$1$	$1$	$7.346$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-2q^{7}-2q^{9}+q^{13}-q^{15}+\cdots$
920.2.a.e	$920$	$2$	920.a	1.a	$1$	$2$	$2$	$7.346$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-2$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}-q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{9}+\cdots$
920.2.a.f	$920$	$2$	920.a	1.a	$1$	$2$	$2$	$7.346$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$2$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+q^{5}+2\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots$
920.2.a.g	$920$	$2$	920.a	1.a	$1$	$3$	$3$	$7.346$	3.3.621.1	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$-3$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}-q^{5}+(1+\beta _{1})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots$
920.2.a.h	$920$	$2$	920.a	1.a	$1$	$3$	$3$	$7.346$	3.3.2597.1	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$3$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+q^{5}+(1-\beta _{1})q^{7}+(3+\beta _{2})q^{9}+\cdots$
920.2.a.i	$920$	$2$	920.a	1.a	$1$	$3$	$3$	$7.346$	3.3.229.1	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$3$	$7$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{3}+q^{5}+(2-\beta _{2})q^{7}+(1+\cdots)q^{9}+\cdots$
920.2.a.j	$920$	$2$	920.a	1.a	$1$	$5$	$5$	$7.346$	5.5.13955077.1	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$-5$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}-q^{5}+(-\beta _{3}-\beta _{4})q^{7}+(2+\cdots)q^{9}+\cdots$
920.2.b.a	$920$	$2$	920.b	920.b	$2$	$4$	$4$	$7.346$	$\Q(\sqrt{2}, \sqrt{-5})$	$_{}$	$\Q(\sqrt{-10}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$2$	$\mathrm{U}(1)[D_{2}]$	$q+\beta _{1}q^{2}+2q^{4}-\beta _{3}q^{5}-2\beta _{3}q^{7}+\cdots$
920.2.b.b	$920$	$2$	920.b	920.b	$2$	$136$	$136$	$7.346$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
920.2.e.a	$920$	$2$	920.e	5.b	$2$	$2$	$2$	$7.346$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+2iq^{3}+(2-i)q^{5}-3iq^{7}-q^{9}+\cdots$
920.2.e.b	$920$	$2$	920.e	5.b	$2$	$14$	$14$	$7.346$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$2$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{8}q^{3}+\beta _{3}q^{5}+(\beta _{7}-\beta _{13})q^{7}+(1+\cdots)q^{9}+\cdots$
920.2.e.c	$920$	$2$	920.e	5.b	$2$	$16$	$16$	$7.346$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$-2$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{5}q^{3}-\beta _{7}q^{5}+(-\beta _{2}+\beta _{13})q^{7}+\cdots$
920.2.f.a	$920$	$2$	920.f	8.b	$2$	$2$	$2$	$7.346$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+(1+i)q^{2}+2iq^{4}+iq^{5}+(-2+2i)q^{8}+\cdots$
920.2.f.b	$920$	$2$	920.f	8.b	$2$	$8$	$8$	$7.346$	8.0.1871773696.1	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$4$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{6}q^{2}+(\beta _{1}+\beta _{3})q^{3}-2q^{4}-\beta _{1}q^{5}+\cdots$
920.2.f.c	$920$	$2$	920.f	8.b	$2$	$30$	$30$	$7.346$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-4$			$\mathrm{SU}(2)[C_{2}]$
920.2.f.d	$920$	$2$	920.f	8.b	$2$	$48$	$48$	$7.346$		$_{}$	None	None		$2$	$0$	$-2$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
920.2.j.a	$920$	$2$	920.j	40.f	$2$	$132$	$132$	$7.346$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
920.2.n.a	$920$	$2$	920.n	184.h	$2$	$48$	$48$	$7.346$		$_{}$	None	None		$2$	$0$	$-2$	$0$	$-48$	$0$			$\mathrm{SU}(2)[C_{2}]$
920.2.n.b	$920$	$2$	920.n	184.h	$2$	$48$	$48$	$7.346$		$_{}$	None	None		$2$	$0$	$-2$	$0$	$48$	$0$			$\mathrm{SU}(2)[C_{2}]$
920.2.q.a	$920$	$2$	920.q	115.e	$4$	$72$	$36$	$7.346$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{4}]$
920.2.v.a	$920$	$2$	920.v	40.k	$4$	$264$	$132$	$7.346$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{4}]$
920.2.x.a	$920$	$2$	920.x	920.x	$4$	$8$	$4$	$7.346$	8.0.$\cdots$.4	$_{}$	$\Q(\sqrt{-46}) $	None		$8$	$0$	$-8$	$0$	$0$	$0$		$1$	$\mathrm{U}(1)[D_{4}]$	$q+(-1+\beta _{4})q^{2}-2\beta _{4}q^{4}+\beta _{1}q^{5}+\cdots$
920.2.x.b	$920$	$2$	920.x	920.x	$4$	$8$	$4$	$7.346$	8.0.$\cdots$.4	$_{}$	$\Q(\sqrt{-46}) $	None		$8$	$0$	$8$	$0$	$0$	$0$		$5$	$\mathrm{U}(1)[D_{4}]$	$q+(1-\beta _{3})q^{2}-2\beta _{3}q^{4}-\beta _{4}q^{5}+(-2+\cdots)q^{8}+\cdots$
920.2.x.c	$920$	$2$	920.x	920.x	$4$	$264$	$132$	$7.346$		$_{}$	None	None		$8$	$0$	$-4$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{4}]$
920.2.y.a	$920$	$2$	920.y	23.c	$11$	$50$	$5$	$7.346$		$_{}$	None	None		$2$	$0$	$0$	$1$	$5$	$9$			$\mathrm{SU}(2)[C_{11}]$
920.2.y.b	$920$	$2$	920.y	23.c	$11$	$60$	$6$	$7.346$		$_{}$	None	None		$2$	$0$	$0$	$-1$	$-6$	$18$			$\mathrm{SU}(2)[C_{11}]$
920.2.y.c	$920$	$2$	920.y	23.c	$11$	$60$	$6$	$7.346$		$_{}$	None	None		$2$	$0$	$0$	$-1$	$6$	$-7$			$\mathrm{SU}(2)[C_{11}]$
920.2.y.d	$920$	$2$	920.y	23.c	$11$	$70$	$7$	$7.346$		$_{}$	None	None		$2$	$0$	$0$	$1$	$-7$	$-20$			$\mathrm{SU}(2)[C_{11}]$
920.2.bb.a	$920$	$2$	920.bb	184.j	$22$	$480$	$48$	$7.346$		$_{}$	None	None		$2$	$0$	$2$	$0$	$-48$	$0$			$\mathrm{SU}(2)[C_{22}]$
920.2.bb.b	$920$	$2$	920.bb	184.j	$22$	$480$	$48$	$7.346$		$_{}$	None	None		$2$	$0$	$2$	$0$	$48$	$0$			$\mathrm{SU}(2)[C_{22}]$
920.2.bf.a	$920$	$2$	920.bf	920.af	$22$	$1400$	$140$	$7.346$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{22}]$
920.2.bj.a	$920$	$2$	920.bj	184.p	$22$	$960$	$96$	$7.346$		$_{}$	None	None		$4$	$0$	$4$	$0$	$0$	$8$			$\mathrm{SU}(2)[C_{22}]$
920.2.bk.a	$920$	$2$	920.bk	115.j	$22$	$360$	$36$	$7.346$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{22}]$
920.2.bn.a	$920$	$2$	920.bn	920.an	$22$	$40$	$4$	$7.346$		$_{}$	$\Q(\sqrt{-10}) $	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{U}(1)[D_{22}]$
920.2.bn.b	$920$	$2$	920.bn	920.an	$22$	$1360$	$136$	$7.346$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{22}]$
920.2.bo.a	$920$	$2$	920.bo	920.ao	$44$	$2800$	$140$	$7.346$		$_{}$	None	None		$8$	$0$	$-18$	$0$	$0$	$-44$			$\mathrm{SU}(2)[C_{44}]$
920.2.bq.a	$920$	$2$	920.bq	920.aq	$44$	$2800$	$140$	$7.346$		$_{}$	None	None		$8$	$0$	$-18$	$-36$	$0$	$0$			$\mathrm{SU}(2)[C_{44}]$
920.2.bv.a	$920$	$2$	920.bv	115.l	$44$	$720$	$36$	$7.346$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{44}]$
920.3.g.a	$920$	$3$	920.g	115.c	$2$	$72$	$72$	$25.068$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
920.3.k.a	$920$	$3$	920.k	23.b	$2$	$48$	$48$	$25.068$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$

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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.