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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 (28 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	17	43	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
31433.2.a.a	$31433$	$2$	31433.a	1.a	$1$	$1$	$1$	$250.994$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}+3q^{8}+\cdots$
31433.2.a.b	$31433$	$2$	31433.a	1.a	$1$	$1$	$1$	$250.994$	$\Q$	None	✓	?				$-1$		$1$	$0$	$2$	$-4$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+2q^{5}-4q^{7}-3q^{8}-3q^{9}+\cdots$
31433.2.a.c	$31433$	$2$	31433.a	1.a	$1$	$2$	$2$	$250.994$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$2$	$-1$	$1$	$0$	$+$	$-$	$-$		$\mathrm{SU}(2)$
31433.2.a.d	$31433$	$2$	31433.a	1.a	$1$	$4$	$4$	$250.994$	$\Q(\zeta_{24})^+$	not computed	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$
31433.2.a.e	$31433$	$2$	31433.a	1.a	$1$	$6$	$6$	$250.994$	6.6.2460365.1	None	✓	?				$-1$		$1$	$3$	$-3$	$7$	$+$	$-$	$-$		$\mathrm{SU}(2)$
31433.2.a.f	$31433$	$2$	31433.a	1.a	$1$	$8$	$8$	$250.994$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$-1$	$3$	$7$	$5$	$-$	$-$	$+$		$\mathrm{SU}(2)$
31433.2.a.g	$31433$	$2$	31433.a	1.a	$1$	$19$	$19$	$250.994$	$\mathbb{Q}[x]/(x^{19} - \cdots)$	None	✓	?				$-1$		$-2$	$-5$	$-11$	$-7$	$-$	$-$	$+$		$\mathrm{SU}(2)$
31433.2.a.h	$31433$	$2$	31433.a	1.a	$1$	$21$	$21$	$250.994$		None	✓	?				$-1$		$-2$	$1$	$3$	$-5$	$+$	$-$	$-$		$\mathrm{SU}(2)$
31433.2.a.i	$31433$	$2$	31433.a	1.a	$1$	$26$	$26$	$250.994$		not computed	✓	?				$-1$		$0$	$0$	$0$	$0$	$+$	$+$	$+$
31433.2.a.j	$31433$	$2$	31433.a	1.a	$1$	$26$	$26$	$250.994$		not computed	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$
31433.2.a.k	$31433$	$2$	31433.a	1.a	$1$	$29$	$29$	$250.994$		None	✓	?				$-1$		$-3$	$-3$	$1$	$-7$	$+$	$+$	$+$		$\mathrm{SU}(2)$
31433.2.a.l	$31433$	$2$	31433.a	1.a	$1$	$29$	$29$	$250.994$		None	✓	?				$-1$		$-1$	$-5$	$-3$	$-13$	$-$	$-$	$+$		$\mathrm{SU}(2)$
31433.2.a.m	$31433$	$2$	31433.a	1.a	$1$	$29$	$29$	$250.994$		None	✓	?				$-1$		$1$	$5$	$3$	$13$	$-$	$+$	$-$		$\mathrm{SU}(2)$
31433.2.a.n	$31433$	$2$	31433.a	1.a	$1$	$29$	$29$	$250.994$		None	✓	?				$-1$		$3$	$3$	$-1$	$7$	$+$	$-$	$-$		$\mathrm{SU}(2)$
31433.2.a.o	$31433$	$2$	31433.a	1.a	$1$	$90$	$90$	$250.994$		None	✓	?				$-1$		$-7$	$-6$	$1$	$-27$	$+$	$+$	$+$		$\mathrm{SU}(2)$
31433.2.a.p	$31433$	$2$	31433.a	1.a	$1$	$90$	$90$	$250.994$		None	✓	?				$-1$		$-5$	$-18$	$-11$	$-33$	$-$	$-$	$+$		$\mathrm{SU}(2)$
31433.2.a.q	$31433$	$2$	31433.a	1.a	$1$	$90$	$90$	$250.994$		None	✓	?				$-1$		$5$	$18$	$11$	$33$	$-$	$+$	$-$		$\mathrm{SU}(2)$
31433.2.a.r	$31433$	$2$	31433.a	1.a	$1$	$90$	$90$	$250.994$		None	✓	?				$-1$		$7$	$6$	$-1$	$27$	$+$	$-$	$-$		$\mathrm{SU}(2)$
31433.2.a.s	$31433$	$2$	31433.a	1.a	$1$	$130$	$130$	$250.994$		None	✓	?				$-1$		$0$	$-1$	$-1$	$-3$	$-$	$-$	$+$		$\mathrm{SU}(2)$
31433.2.a.t	$31433$	$2$	31433.a	1.a	$1$	$130$	$130$	$250.994$		None	✓	?				$-1$		$0$	$1$	$1$	$3$	$-$	$-$	$+$		$\mathrm{SU}(2)$
31433.2.a.u	$31433$	$2$	31433.a	1.a	$1$	$150$	$150$	$250.994$		None	✓	?				$-1$		$0$	$-1$	$-1$	$-1$	$+$	$-$	$-$		$\mathrm{SU}(2)$
31433.2.a.v	$31433$	$2$	31433.a	1.a	$1$	$150$	$150$	$250.994$		None	✓	?				$-1$		$0$	$1$	$1$	$1$	$+$	$-$	$-$		$\mathrm{SU}(2)$
31433.2.a.w	$31433$	$2$	31433.a	1.a	$1$	$174$	$174$	$250.994$		None	✓	?	✓			$-1$		$-13$	$-30$	$-25$	$-71$	$-$	$-$	$+$		$\mathrm{SU}(2)$
31433.2.a.x	$31433$	$2$	31433.a	1.a	$1$	$174$	$174$	$250.994$		None	✓	?				$-1$		$-11$	$-18$	$-1$	$-49$	$+$	$+$	$+$		$\mathrm{SU}(2)$
31433.2.a.y	$31433$	$2$	31433.a	1.a	$1$	$174$	$174$	$250.994$		None	✓	?	✓			$-1$		$11$	$18$	$1$	$49$	$+$	$-$	$-$		$\mathrm{SU}(2)$
31433.2.a.z	$31433$	$2$	31433.a	1.a	$1$	$174$	$174$	$250.994$		None	✓	?				$-1$		$13$	$30$	$25$	$71$	$-$	$+$	$-$		$\mathrm{SU}(2)$
31433.2.a.ba	$31433$	$2$	31433.a	1.a	$1$	$260$	$260$	$250.994$		not computed	✓	?	✓			$-1$		$0$	$0$	$0$	$0$	$+$	$+$	$+$
31433.2.a.bb	$31433$	$2$	31433.a	1.a	$1$	$300$	$300$	$250.994$		not computed	✓	?	✓			$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$

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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.