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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 80 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	3	5	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
26460.2.a.a	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-6q^{11}+4q^{13}-3q^{17}+7q^{19}+\cdots$
26460.2.a.b	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-4q^{11}-6q^{13}+2q^{17}-3q^{19}+\cdots$
26460.2.a.c	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-4q^{11}-5q^{13}-2q^{17}-4q^{19}+\cdots$
26460.2.a.d	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-3q^{11}+4q^{13}-3q^{17}-2q^{19}+\cdots$
26460.2.a.e	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{11}-7q^{17}-6q^{19}-6q^{23}+\cdots$
26460.2.a.f	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{13}+3q^{17}-5q^{19}+3q^{23}+\cdots$
26460.2.a.g	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{13}-6q^{17}-4q^{19}+q^{25}+\cdots$
26460.2.a.h	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{13}-6q^{17}+4q^{19}+q^{25}+\cdots$
26460.2.a.i	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{13}+3q^{17}+q^{19}-3q^{23}+\cdots$
26460.2.a.j	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{11}-7q^{17}+6q^{19}+6q^{23}+\cdots$
26460.2.a.k	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{11}+5q^{17}+3q^{19}-3q^{23}+\cdots$
26460.2.a.l	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+3q^{11}-4q^{13}-3q^{17}+2q^{19}+\cdots$
26460.2.a.m	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+3q^{11}+q^{13}-6q^{17}+7q^{19}+\cdots$
26460.2.a.n	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{11}+5q^{13}-2q^{17}+4q^{19}+\cdots$
26460.2.a.o	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{11}+6q^{13}+2q^{17}+3q^{19}+\cdots$
26460.2.a.p	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+5q^{11}-7q^{13}-2q^{17}+5q^{19}+\cdots$
26460.2.a.q	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+6q^{11}+q^{13}+q^{19}+6q^{23}+\cdots$
26460.2.a.r	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-6q^{11}+q^{13}+q^{19}-6q^{23}+\cdots$
26460.2.a.s	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-5q^{11}-7q^{13}+2q^{17}+5q^{19}+\cdots$
26460.2.a.t	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-4q^{11}+5q^{13}+2q^{17}+4q^{19}+\cdots$
26460.2.a.u	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-4q^{11}+6q^{13}-2q^{17}+3q^{19}+\cdots$
26460.2.a.v	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-3q^{11}-4q^{13}+3q^{17}+2q^{19}+\cdots$
26460.2.a.w	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-3q^{11}+q^{13}+6q^{17}+7q^{19}+\cdots$
26460.2.a.x	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{11}-5q^{17}+3q^{19}+3q^{23}+\cdots$
26460.2.a.y	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{11}+7q^{17}+6q^{19}-6q^{23}+\cdots$
26460.2.a.z	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{13}-3q^{17}-5q^{19}-3q^{23}+\cdots$
26460.2.a.ba	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{13}+6q^{17}-4q^{19}+q^{25}+\cdots$
26460.2.a.bb	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{13}+6q^{17}+4q^{19}+q^{25}+\cdots$
26460.2.a.bc	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+4q^{13}-3q^{17}+q^{19}+3q^{23}+\cdots$
26460.2.a.bd	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{11}+7q^{17}-6q^{19}+6q^{23}+\cdots$
26460.2.a.be	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+3q^{11}+4q^{13}+3q^{17}-2q^{19}+\cdots$
26460.2.a.bf	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+4q^{11}-6q^{13}-2q^{17}-3q^{19}+\cdots$
26460.2.a.bg	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+4q^{11}-5q^{13}+2q^{17}-4q^{19}+\cdots$
26460.2.a.bh	$26460$	$2$	26460.a	1.a	$1$	$1$	$1$	$211.284$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+6q^{11}+4q^{13}+3q^{17}+7q^{19}+\cdots$
26460.2.a.bi	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{13}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
26460.2.a.bj	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{73}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
26460.2.a.bk	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{37}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
26460.2.a.bl	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{7}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
26460.2.a.bm	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{7}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
26460.2.a.bn	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{13}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
26460.2.a.bo	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{73}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
26460.2.a.bp	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{13}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
26460.2.a.bq	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{13}) $	None	✓	?				$-1$		$0$	$0$	$2$	$0$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
26460.2.a.br	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{73}) $	None	✓	?				$-1$		$0$	$0$	$2$	$0$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
26460.2.a.bs	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{7}) $	None	✓	?				$-1$		$0$	$0$	$2$	$0$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
26460.2.a.bt	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{7}) $	None	✓	?				$-1$		$0$	$0$	$2$	$0$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
26460.2.a.bu	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{13}) $	None	✓	?				$-1$		$0$	$0$	$2$	$0$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
26460.2.a.bv	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{37}) $	None	✓	?				$-1$		$0$	$0$	$2$	$0$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
26460.2.a.bw	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{73}) $	None	✓	?				$-1$		$0$	$0$	$2$	$0$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
26460.2.a.bx	$26460$	$2$	26460.a	1.a	$1$	$2$	$2$	$211.284$	$\Q(\sqrt{13}) $	None	✓	?				$-1$		$0$	$0$	$2$	$0$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
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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.