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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad $p$	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (1-50 of 86 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
97.2.a.a	$97$	$2$	97.a	1.a	$1$	$3$	$3$	$0.775$	$\Q(\zeta_{14})^+$	None	✓	✓	✓	✓	97.2.a.a	$1$	$1$	$-4$	$-4$	$-3$	$-7$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{1})q^{2}+(-2+\beta _{1}-\beta _{2})q^{3}+\cdots$
97.2.a.b	$97$	$2$	97.a	1.a	$1$	$4$	$4$	$0.775$	4.4.2777.1	None	✓	✓	✓	✓	97.2.a.b	$1$	$0$	$3$	$0$	$1$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}-\beta _{2}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$
97.2.b.a	$97$	$2$	97.b	97.b	$2$	$6$	$6$	$0.775$	6.0.196095168.1	None		✓	✓	✓	97.2.b.a	$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+(\beta _{2}-\beta _{4})q^{2}-\beta _{2}q^{3}-\beta _{4}q^{4}+\beta _{1}q^{5}+\cdots$
97.2.c.a	$97$	$2$	97.c	97.c	$3$	$14$	$7$	$0.775$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None		✓	✓	✓	97.2.c.a	$2$	$0$	$1$	$-2$	$-4$	$4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\beta _{1}q^{2}-\beta _{13}q^{3}+(\beta _{1}-\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots$
97.2.d.a	$97$	$2$	97.d	97.d	$4$	$12$	$6$	$0.775$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		✓	✓	✓	97.2.d.a	$2$	$0$	$0$	$0$	$-4$	$-4$		$1$	$\mathrm{SU}(2)[C_{4}]$	$q+\beta _{1}q^{2}-\beta _{11}q^{3}+(-\beta _{2}-\beta _{4}+\beta _{8}+\cdots)q^{4}+\cdots$
97.2.e.a	$97$	$2$	97.e	97.e	$6$	$14$	$7$	$0.775$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None		✓	✓	✓	97.2.e.a	$2$	$0$	$-3$	$-2$	$6$	$0$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q+\beta _{5}q^{2}+(-\beta _{1}-\beta _{7}-\beta _{11})q^{3}+(-1+\cdots)q^{4}+\cdots$
97.2.f.a	$97$	$2$	97.f	97.f	$8$	$24$	$6$	$0.775$		None		✓	✓	✓	97.2.f.a	$2$	$0$	$-4$	$-8$	$4$	$8$			$\mathrm{SU}(2)[C_{8}]$
97.2.g.a	$97$	$2$	97.g	97.g	$12$	$4$	$1$	$0.775$	$\Q(\zeta_{12})$	None		✓			97.2.g.a	$2$	$1$	$-6$	$-6$	$-6$	$-2$		$1$	$\mathrm{SU}(2)[C_{12}]$	$q+(-2+\zeta_{12}^{2})q^{2}+(-2+\zeta_{12}+\zeta_{12}^{2}+\cdots)q^{3}+\cdots$
97.2.g.b	$97$	$2$	97.g	97.g	$12$	$24$	$6$	$0.775$		None		✓	✓		97.2.g.b	$2$	$0$	$0$	$6$	$4$	$-2$			$\mathrm{SU}(2)[C_{12}]$
97.2.h.a	$97$	$2$	97.h	97.h	$16$	$56$	$7$	$0.775$		None		✓	✓	✓	97.2.h.a	$2$	$0$	$-8$	$0$	$-8$	$-8$			$\mathrm{SU}(2)[C_{16}]$
97.2.i.a	$97$	$2$	97.i	97.i	$24$	$56$	$7$	$0.775$		None		✓	✓	✓	97.2.i.a	$2$	$0$	$-8$	$-4$	$-16$	$-16$			$\mathrm{SU}(2)[C_{24}]$
97.2.k.a	$97$	$2$	97.k	97.k	$48$	$128$	$8$	$0.775$		None		✓	✓	✓	97.2.k.a	$2$	$0$	$-16$	$-24$	$-16$	$-16$			$\mathrm{SU}(2)[C_{48}]$
97.3.j.a	$97$	$3$	97.j	97.j	$32$	$256$	$16$	$2.643$		None		✓	✓	✓	97.3.j.a	$2$	$0$	$-16$	$-16$	$-16$	$-16$			$\mathrm{SU}(2)[C_{32}]$
97.3.l.a	$97$	$3$	97.l	97.l	$96$	$480$	$15$	$2.643$		None		✓	✓	✓	97.3.l.a	$2$	$0$	$-32$	$-32$	$-32$	$-32$			$\mathrm{SU}(2)[C_{96}]$
97.4.a.a	$97$	$4$	97.a	1.a	$1$	$11$	$11$	$5.723$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	None	✓	✓	✓	✓	97.4.a.a	$1$	$1$	$-11$	$-12$	$-34$	$-68$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(-1-\beta _{7})q^{3}+(3+\cdots)q^{4}+\cdots$
97.4.a.b	$97$	$4$	97.a	1.a	$1$	$13$	$13$	$5.723$	$\mathbb{Q}[x]/(x^{13} - \cdots)$	None	✓	✓	✓	✓	97.4.a.b	$1$	$0$	$9$	$12$	$16$	$58$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(1-\beta _{6})q^{3}+(5-\beta _{1}+\cdots)q^{4}+\cdots$
97.4.b.a	$97$	$4$	97.b	97.b	$2$	$24$	$24$	$5.723$		None		✓	✓	✓	97.4.b.a	$2$	$0$	$-2$	$-8$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
97.4.c.a	$97$	$4$	97.c	97.c	$3$	$48$	$24$	$5.723$		None		✓	✓	✓	97.4.c.a	$2$	$0$	$-1$	$-6$	$-9$	$-47$			$\mathrm{SU}(2)[C_{3}]$
97.4.d.a	$97$	$4$	97.d	97.d	$4$	$48$	$24$	$5.723$		None		✓	✓	✓	97.4.d.a	$2$	$0$	$0$	$0$	$-2$	$-34$			$\mathrm{SU}(2)[C_{4}]$
97.4.e.a	$97$	$4$	97.e	97.e	$6$	$4$	$2$	$5.723$	$\Q(\sqrt{-3}, \sqrt{-65})$	None		✓			97.4.e.a	$2$	$0$	$-2$	$8$	$-24$	$-42$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q+(-1+\beta _{2})q^{2}+(4-4\beta _{2})q^{3}+7\beta _{2}q^{4}+\cdots$
97.4.e.b	$97$	$4$	97.e	97.e	$6$	$44$	$22$	$5.723$		None		✓	✓		97.4.e.b	$2$	$0$	$1$	$-6$	$45$	$57$			$\mathrm{SU}(2)[C_{6}]$
97.4.f.a	$97$	$4$	97.f	97.f	$8$	$96$	$24$	$5.723$		None		✓	✓	✓	97.4.f.a	$2$	$0$	$-4$	$-8$	$12$	$36$			$\mathrm{SU}(2)[C_{8}]$
97.4.g.a	$97$	$4$	97.g	97.g	$12$	$96$	$24$	$5.723$		None		✓	✓	✓	97.4.g.a	$2$	$0$	$-6$	$0$	$-4$	$-8$			$\mathrm{SU}(2)[C_{12}]$
97.4.h.a	$97$	$4$	97.h	97.h	$16$	$184$	$23$	$5.723$		None		✓	✓	✓	97.4.h.a	$2$	$0$	$-8$	$0$	$-8$	$-8$			$\mathrm{SU}(2)[C_{16}]$
97.4.i.a	$97$	$4$	97.i	97.i	$24$	$192$	$24$	$5.723$		None		✓	✓	✓	97.4.i.a	$2$	$0$	$-8$	$-4$	$-24$	$24$			$\mathrm{SU}(2)[C_{24}]$
97.4.k.a	$97$	$4$	97.k	97.k	$48$	$368$	$23$	$5.723$		None		✓	✓	✓	97.4.k.a	$2$	$0$	$-16$	$-24$	$-16$	$-16$			$\mathrm{SU}(2)[C_{48}]$
97.5.j.a	$97$	$5$	97.j	97.j	$32$	$496$	$31$	$10.027$		None		✓	✓	✓	97.5.j.a	$2$	$0$	$-16$	$-16$	$-16$	$-16$			$\mathrm{SU}(2)[C_{32}]$
97.5.l.a	$97$	$5$	97.l	97.l	$96$	$1024$	$32$	$10.027$		None		✓	✓	✓	97.5.l.a	$2$	$0$	$-32$	$-32$	$-32$	$-32$			$\mathrm{SU}(2)[C_{96}]$
97.6.a.a	$97$	$6$	97.a	1.a	$1$	$19$	$19$	$15.557$	$\mathbb{Q}[x]/(x^{19} - \cdots)$	None	✓	✓	✓	✓	97.6.a.a	$1$	$1$	$-21$	$-36$	$-89$	$-451$	$+$	$2^{3}\cdot 5$	$\mathrm{SU}(2)$	$q+(-1-\beta _{1})q^{2}+(-2-\beta _{3})q^{3}+(14+\cdots)q^{4}+\cdots$
97.6.a.b	$97$	$6$	97.a	1.a	$1$	$21$	$21$	$15.557$		None	✓	✓	✓	✓	97.6.a.b	$1$	$0$	$19$	$36$	$161$	$431$	$-$		$\mathrm{SU}(2)$
97.6.b.a	$97$	$6$	97.b	97.b	$2$	$40$	$40$	$15.557$		None		✓	✓	✓	97.6.b.a	$2$	$0$	$-2$	$40$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
97.6.c.a	$97$	$6$	97.c	97.c	$3$	$78$	$39$	$15.557$		None		✓	✓	✓	97.6.c.a	$2$	$0$	$-1$	$18$	$36$	$-8$			$\mathrm{SU}(2)[C_{3}]$
97.6.d.a	$97$	$6$	97.d	97.d	$4$	$80$	$40$	$15.557$		None		✓	✓	✓	97.6.d.a	$2$	$0$	$0$	$0$	$-44$	$-172$			$\mathrm{SU}(2)[C_{4}]$
97.6.e.a	$97$	$6$	97.e	97.e	$6$	$78$	$39$	$15.557$		None		✓	✓	✓	97.6.e.a	$2$	$0$	$-1$	$2$	$-114$	$-276$			$\mathrm{SU}(2)[C_{6}]$
97.6.f.a	$97$	$6$	97.f	97.f	$8$	$160$	$40$	$15.557$		None		✓	✓	✓	97.6.f.a	$2$	$0$	$-4$	$40$	$-36$	$184$			$\mathrm{SU}(2)[C_{8}]$
97.6.g.a	$97$	$6$	97.g	97.g	$12$	$156$	$39$	$15.557$		None		✓	✓	✓	97.6.g.a	$2$	$0$	$-6$	$-72$	$38$	$-132$			$\mathrm{SU}(2)[C_{12}]$
97.6.h.a	$97$	$6$	97.h	97.h	$16$	$328$	$41$	$15.557$		None		✓	✓	✓	97.6.h.a	$2$	$0$	$-8$	$-96$	$-8$	$-8$			$\mathrm{SU}(2)[C_{16}]$
97.6.i.a	$97$	$6$	97.i	97.i	$24$	$312$	$39$	$15.557$		None		✓	✓	✓	97.6.i.a	$2$	$0$	$-8$	$-52$	$24$	$400$			$\mathrm{SU}(2)[C_{24}]$
97.6.k.a	$97$	$6$	97.k	97.k	$48$	$640$	$40$	$15.557$		None		✓	✓	✓	97.6.k.a	$2$	$0$	$-16$	$72$	$-16$	$-16$			$\mathrm{SU}(2)[C_{48}]$
97.7.j.a	$97$	$7$	97.j	97.j	$32$	$768$	$48$	$22.315$		None		✓	✓	✓	97.7.j.a	$2$	$0$	$-16$	$-16$	$-16$	$-16$			$\mathrm{SU}(2)[C_{32}]$
97.7.l.a	$97$	$7$	97.l	97.l	$96$	$1536$	$48$	$22.315$		None		✓	✓	✓	97.7.l.a	$2$	$0$	$-32$	$-32$	$-32$	$-32$			$\mathrm{SU}(2)[C_{96}]$
97.8.a.a	$97$	$8$	97.a	1.a	$1$	$27$	$27$	$30.301$		None	✓	✓	✓	✓	97.8.a.a	$1$	$1$	$-33$	$-108$	$-749$	$-3233$	$-$		$\mathrm{SU}(2)$
97.8.a.b	$97$	$8$	97.a	1.a	$1$	$29$	$29$	$30.301$		None	✓	✓	✓	✓	97.8.a.b	$1$	$0$	$47$	$108$	$501$	$2941$	$+$		$\mathrm{SU}(2)$
97.8.b.a	$97$	$8$	97.b	97.b	$2$	$56$	$56$	$30.301$		None		✓	✓	✓	97.8.b.a	$2$	$0$	$-18$	$-56$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
97.8.c.a	$97$	$8$	97.c	97.c	$3$	$114$	$57$	$30.301$		None		✓	✓	✓	97.8.c.a	$2$	$0$	$-17$	$-54$	$-124$	$1544$			$\mathrm{SU}(2)[C_{3}]$
97.8.d.a	$97$	$8$	97.d	97.d	$4$	$112$	$56$	$30.301$		None		✓	✓	✓	97.8.d.a	$2$	$0$	$0$	$0$	$-532$	$2404$			$\mathrm{SU}(2)[C_{4}]$
97.8.e.a	$97$	$8$	97.e	97.e	$6$	$114$	$57$	$30.301$		None		✓	✓	✓	97.8.e.a	$2$	$0$	$15$	$26$	$366$	$-2772$			$\mathrm{SU}(2)[C_{6}]$
97.8.f.a	$97$	$8$	97.f	97.f	$8$	$224$	$56$	$30.301$		None		✓	✓	✓	97.8.f.a	$2$	$0$	$-4$	$-56$	$772$	$-2120$			$\mathrm{SU}(2)[C_{8}]$
97.8.g.a	$97$	$8$	97.g	97.g	$12$	$228$	$57$	$30.301$		None		✓	✓	✓	97.8.g.a	$2$	$0$	$-6$	$72$	$526$	$-3924$			$\mathrm{SU}(2)[C_{12}]$
97.8.h.a	$97$	$8$	97.h	97.h	$16$	$440$	$55$	$30.301$		None		✓	✓	✓	97.8.h.a	$2$	$0$	$-8$	$96$	$-8$	$-8$			$\mathrm{SU}(2)[C_{16}]$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
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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.