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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 (24 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	1879	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
30064.2.a.a	$30064$	$2$	30064.a	1.a	$1$	$1$	$1$	$240.062$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$-3$	$-3$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-3q^{5}-3q^{7}+q^{9}-6q^{11}+\cdots$
30064.2.a.b	$30064$	$2$	30064.a	1.a	$1$	$1$	$1$	$240.062$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$1$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+q^{7}-3q^{9}+4q^{11}-4q^{13}+\cdots$
30064.2.a.c	$30064$	$2$	30064.a	1.a	$1$	$1$	$1$	$240.062$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$1$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}-3q^{9}-2q^{11}+2q^{13}+\cdots$
30064.2.a.d	$30064$	$2$	30064.a	1.a	$1$	$1$	$1$	$240.062$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$1$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}-3q^{9}+2q^{11}+4q^{13}+\cdots$
30064.2.a.e	$30064$	$2$	30064.a	1.a	$1$	$1$	$1$	$240.062$	$\Q$	None	✓	?				$-1$		$0$	$0$	$3$	$-1$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-q^{7}-3q^{9}-2q^{11}+2q^{13}+\cdots$
30064.2.a.f	$30064$	$2$	30064.a	1.a	$1$	$1$	$1$	$240.062$	$\Q$	None	✓	?				$-1$		$0$	$2$	$-2$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-2q^{5}+q^{9}-6q^{11}+4q^{13}+\cdots$
30064.2.a.g	$30064$	$2$	30064.a	1.a	$1$	$1$	$1$	$240.062$	$\Q$	None	✓	?				$-1$		$0$	$2$	$-1$	$-1$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots$
30064.2.a.h	$30064$	$2$	30064.a	1.a	$1$	$1$	$1$	$240.062$	$\Q$	None	✓	?				$-1$		$0$	$2$	$-1$	$1$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}+q^{7}+q^{9}-2q^{13}-2q^{15}+\cdots$
30064.2.a.i	$30064$	$2$	30064.a	1.a	$1$	$1$	$1$	$240.062$	$\Q$	None	✓	?				$-1$		$0$	$2$	$1$	$1$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{5}+q^{7}+q^{9}+6q^{11}+2q^{13}+\cdots$
30064.2.a.j	$30064$	$2$	30064.a	1.a	$1$	$1$	$1$	$240.062$	$\Q$	None	✓	?				$-1$		$0$	$2$	$3$	$-3$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+3q^{5}-3q^{7}+q^{9}+4q^{11}+\cdots$
30064.2.a.k	$30064$	$2$	30064.a	1.a	$1$	$2$	$2$	$240.062$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$4$	$-2$	$2$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30064.2.a.l	$30064$	$2$	30064.a	1.a	$1$	$3$	$3$	$240.062$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$3$	$6$	$3$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30064.2.a.m	$30064$	$2$	30064.a	1.a	$1$	$26$	$26$	$240.062$		None	✓	?				$-1$		$0$	$8$	$-16$	$17$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30064.2.a.n	$30064$	$2$	30064.a	1.a	$1$	$30$	$30$	$240.062$		None	✓	?				$-1$		$0$	$5$	$-3$	$15$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30064.2.a.o	$30064$	$2$	30064.a	1.a	$1$	$45$	$45$	$240.062$		None	✓	?				$-1$		$0$	$-13$	$8$	$-18$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30064.2.a.p	$30064$	$2$	30064.a	1.a	$1$	$47$	$47$	$240.062$		None	✓	?				$-1$		$0$	$-13$	$10$	$-24$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30064.2.a.q	$30064$	$2$	30064.a	1.a	$1$	$65$	$65$	$240.062$		None	✓	?				$-1$		$0$	$6$	$-21$	$11$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30064.2.a.r	$30064$	$2$	30064.a	1.a	$1$	$78$	$78$	$240.062$		None	✓	?	✓			$-1$		$0$	$-6$	$10$	$-12$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30064.2.a.s	$30064$	$2$	30064.a	1.a	$1$	$78$	$78$	$240.062$		None	✓	?				$-1$		$0$	$8$	$-14$	$12$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30064.2.a.t	$30064$	$2$	30064.a	1.a	$1$	$91$	$91$	$240.062$		None	✓	?	✓			$-1$		$0$	$-4$	$21$	$-5$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30064.2.a.u	$30064$	$2$	30064.a	1.a	$1$	$108$	$108$	$240.062$		None	✓	?				$-1$		$0$	$9$	$-21$	$19$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30064.2.a.v	$30064$	$2$	30064.a	1.a	$1$	$108$	$108$	$240.062$		None	✓	?				$-1$		$0$	$15$	$11$	$25$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30064.2.a.w	$30064$	$2$	30064.a	1.a	$1$	$122$	$122$	$240.062$		None	✓	?	✓			$-1$		$0$	$-21$	$-12$	$-30$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30064.2.a.x	$30064$	$2$	30064.a	1.a	$1$	$126$	$126$	$240.062$		None	✓	?	✓			$-1$		$0$	$-9$	$26$	$-14$	$+$	$-$	$-$		$\mathrm{SU}(2)$

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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.