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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 (38 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				A-L signs		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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	107	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
22898.2.a.a	$22898$	$2$	22898.a	1.a	$1$	$1$	$1$	$182.841$	$\Q$	None	✓	?				$-1$		$-1$	$-2$	$-3$	$-2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-2q^{3}+q^{4}-3q^{5}+2q^{6}-2q^{7}+\cdots$
22898.2.a.b	$22898$	$2$	22898.a	1.a	$1$	$1$	$1$	$182.841$	$\Q$	None	✓	?				$-1$		$-1$	$-2$	$3$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-2q^{3}+q^{4}+3q^{5}+2q^{6}+4q^{7}+\cdots$
22898.2.a.c	$22898$	$2$	22898.a	1.a	$1$	$1$	$1$	$182.841$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$0$	$-2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-2q^{7}-q^{8}+\cdots$
22898.2.a.d	$22898$	$2$	22898.a	1.a	$1$	$1$	$1$	$182.841$	$\Q$	None	✓	?				$-1$		$-1$	$2$	$-3$	$0$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}-3q^{5}-2q^{6}-q^{8}+\cdots$
22898.2.a.e	$22898$	$2$	22898.a	1.a	$1$	$1$	$1$	$182.841$	$\Q$	None	✓	?				$-1$		$1$	$-2$	$1$	$-4$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}+q^{5}-2q^{6}-4q^{7}+\cdots$
22898.2.a.f	$22898$	$2$	22898.a	1.a	$1$	$1$	$1$	$182.841$	$\Q$	None	✓	?				$-1$		$1$	$-2$	$3$	$2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}+3q^{5}-2q^{6}+2q^{7}+\cdots$
22898.2.a.g	$22898$	$2$	22898.a	1.a	$1$	$1$	$1$	$182.841$	$\Q$	None	✓	?				$-1$		$1$	$1$	$4$	$2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+4q^{5}+q^{6}+2q^{7}+\cdots$
22898.2.a.h	$22898$	$2$	22898.a	1.a	$1$	$1$	$1$	$182.841$	$\Q$	None	✓	?				$-1$		$1$	$2$	$3$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+2q^{3}+q^{4}+3q^{5}+2q^{6}+q^{8}+\cdots$
22898.2.a.i	$22898$	$2$	22898.a	1.a	$1$	$2$	$2$	$182.841$	$\Q(\sqrt{85}) $	None	✓	?				$-1$		$-2$	$2$	$0$	$2$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22898.2.a.j	$22898$	$2$	22898.a	1.a	$1$	$2$	$2$	$182.841$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$-2$	$2$	$0$	$2$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22898.2.a.k	$22898$	$2$	22898.a	1.a	$1$	$2$	$2$	$182.841$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$2$	$-2$	$-4$	$2$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22898.2.a.l	$22898$	$2$	22898.a	1.a	$1$	$2$	$2$	$182.841$	$\Q(\sqrt{85}) $	None	✓	?				$-1$		$2$	$2$	$0$	$-2$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22898.2.a.m	$22898$	$2$	22898.a	1.a	$1$	$3$	$3$	$182.841$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$-3$	$0$	$3$	$-3$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22898.2.a.n	$22898$	$2$	22898.a	1.a	$1$	$3$	$3$	$182.841$	3.3.1016.1	None	✓	?				$-1$		$-3$	$1$	$4$	$-6$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22898.2.a.o	$22898$	$2$	22898.a	1.a	$1$	$3$	$3$	$182.841$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$3$	$0$	$-3$	$3$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22898.2.a.p	$22898$	$2$	22898.a	1.a	$1$	$3$	$3$	$182.841$	3.3.1016.1	None	✓	?				$-1$		$3$	$1$	$-4$	$6$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22898.2.a.q	$22898$	$2$	22898.a	1.a	$1$	$4$	$4$	$182.841$	4.4.7488.1	None	✓	?				$-1$		$-4$	$-2$	$-4$	$-6$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22898.2.a.r	$22898$	$2$	22898.a	1.a	$1$	$4$	$4$	$182.841$	4.4.95832.1	None	✓	?				$-1$		$-4$	$0$	$2$	$0$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22898.2.a.s	$22898$	$2$	22898.a	1.a	$1$	$4$	$4$	$182.841$	4.4.4752.1	None	✓	?				$-1$		$-4$	$2$	$0$	$6$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22898.2.a.t	$22898$	$2$	22898.a	1.a	$1$	$4$	$4$	$182.841$	4.4.7488.1	None	✓	?				$-1$		$4$	$-2$	$4$	$6$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22898.2.a.u	$22898$	$2$	22898.a	1.a	$1$	$4$	$4$	$182.841$	4.4.95832.1	None	✓	?				$-1$		$4$	$0$	$-2$	$0$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22898.2.a.v	$22898$	$2$	22898.a	1.a	$1$	$4$	$4$	$182.841$	4.4.4752.1	None	✓	?				$-1$		$4$	$2$	$0$	$-6$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22898.2.a.w	$22898$	$2$	22898.a	1.a	$1$	$6$	$6$	$182.841$	6.6.1397493.1	None	✓	?				$-1$		$-6$	$-3$	$0$	$6$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22898.2.a.x	$22898$	$2$	22898.a	1.a	$1$	$6$	$6$	$182.841$	6.6.1397493.1	None	✓	?				$-1$		$6$	$-3$	$0$	$-6$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22898.2.a.y	$22898$	$2$	22898.a	1.a	$1$	$12$	$12$	$182.841$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$-12$	$-3$	$3$	$9$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22898.2.a.z	$22898$	$2$	22898.a	1.a	$1$	$12$	$12$	$182.841$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$12$	$-3$	$-3$	$-9$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22898.2.a.ba	$22898$	$2$	22898.a	1.a	$1$	$24$	$24$	$182.841$		None	✓	?				$-1$		$-24$	$6$	$-6$	$-12$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22898.2.a.bb	$22898$	$2$	22898.a	1.a	$1$	$24$	$24$	$182.841$		None	✓	?				$-1$		$24$	$6$	$6$	$12$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22898.2.a.bc	$22898$	$2$	22898.a	1.a	$1$	$36$	$36$	$182.841$		None	✓	?				$-1$		$-36$	$0$	$9$	$18$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22898.2.a.bd	$22898$	$2$	22898.a	1.a	$1$	$36$	$36$	$182.841$		None	✓	?				$-1$		$36$	$0$	$-9$	$-18$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22898.2.a.be	$22898$	$2$	22898.a	1.a	$1$	$45$	$45$	$182.841$		None	✓	?				$-1$		$-45$	$0$	$9$	$18$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22898.2.a.bf	$22898$	$2$	22898.a	1.a	$1$	$45$	$45$	$182.841$		None	✓	?				$-1$		$45$	$0$	$-9$	$-18$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22898.2.a.bg	$22898$	$2$	22898.a	1.a	$1$	$90$	$90$	$182.841$		None	✓	?				$-1$		$-90$	$0$	$-18$	$-36$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22898.2.a.bh	$22898$	$2$	22898.a	1.a	$1$	$90$	$90$	$182.841$		None	✓	?				$-1$		$90$	$0$	$18$	$36$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22898.2.a.bi	$22898$	$2$	22898.a	1.a	$1$	$104$	$104$	$182.841$		None	✓	?	✓			$-1$		$-104$	$-25$	$27$	$0$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22898.2.a.bj	$22898$	$2$	22898.a	1.a	$1$	$104$	$104$	$182.841$		None	✓	?	✓			$-1$		$104$	$-25$	$-27$	$0$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22898.2.a.bk	$22898$	$2$	22898.a	1.a	$1$	$130$	$130$	$182.841$		None	✓	?	✓			$-1$		$-130$	$24$	$-25$	$2$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22898.2.a.bl	$22898$	$2$	22898.a	1.a	$1$	$130$	$130$	$182.841$		None	✓	?	✓			$-1$		$130$	$24$	$25$	$-2$	$-$	$+$	$-$		$\mathrm{SU}(2)$

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