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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 91 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	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
20280.2.a.a	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$-4$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-4q^{7}+q^{9}-4q^{11}+q^{15}+\cdots$
20280.2.a.b	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$-4$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-4q^{7}+q^{9}-4q^{11}+q^{15}+\cdots$
20280.2.a.c	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$-2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-2q^{7}+q^{9}-4q^{11}+q^{15}+\cdots$
20280.2.a.d	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$-2$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-2q^{7}+q^{9}+4q^{11}+q^{15}+\cdots$
20280.2.a.e	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}+q^{11}+q^{15}+\cdots$
20280.2.a.f	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}+4q^{11}+q^{15}+2q^{17}+\cdots$
20280.2.a.g	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}+q^{15}+\cdots$
20280.2.a.h	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$2$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+2q^{7}+q^{9}+q^{15}+6q^{17}+\cdots$
20280.2.a.i	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$3$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+3q^{7}+q^{9}-2q^{11}+q^{15}+\cdots$
20280.2.a.j	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$5$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+5q^{7}+q^{9}-q^{11}+q^{15}+\cdots$
20280.2.a.k	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$-3$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-3q^{7}+q^{9}+2q^{11}-q^{15}+\cdots$
20280.2.a.l	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$-2$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-2q^{7}+q^{9}-q^{15}+6q^{17}+\cdots$
20280.2.a.m	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}-2q^{11}-q^{15}+\cdots$
20280.2.a.n	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}-4q^{11}-q^{15}-2q^{17}+\cdots$
20280.2.a.o	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}-q^{15}-6q^{17}-4q^{19}+\cdots$
20280.2.a.p	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-q^{11}-q^{15}+\cdots$
20280.2.a.q	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$2$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+2q^{7}+q^{9}-4q^{11}-q^{15}+\cdots$
20280.2.a.r	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$4$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}-q^{15}+\cdots$
20280.2.a.s	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$-4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-4q^{7}+q^{9}-q^{15}+2q^{17}+\cdots$
20280.2.a.t	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$-3$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-3q^{7}+q^{9}+3q^{11}-q^{15}+\cdots$
20280.2.a.u	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}-6q^{11}-q^{15}-2q^{17}+\cdots$
20280.2.a.v	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}+4q^{11}-q^{15}-6q^{17}+\cdots$
20280.2.a.w	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$2$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+2q^{7}+q^{9}-q^{15}-4q^{17}+\cdots$
20280.2.a.x	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$2$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+2q^{7}+q^{9}+q^{11}-q^{15}+\cdots$
20280.2.a.y	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$3$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+3q^{7}+q^{9}+3q^{11}-q^{15}+\cdots$
20280.2.a.z	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$-4$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-4q^{7}+q^{9}+q^{15}-2q^{17}+\cdots$
20280.2.a.ba	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$-2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-2q^{7}+q^{9}-q^{11}+q^{15}+\cdots$
20280.2.a.bb	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{9}+q^{15}+2q^{17}+4q^{23}+\cdots$
20280.2.a.bc	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{9}+6q^{11}+q^{15}-2q^{17}+\cdots$
20280.2.a.bd	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}+5q^{11}+q^{15}+\cdots$
20280.2.a.be	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$3$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+3q^{7}+q^{9}-3q^{11}+q^{15}+\cdots$
20280.2.a.bf	$20280$	$2$	20280.a	1.a	$1$	$1$	$1$	$161.937$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$4$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+4q^{7}+q^{9}-4q^{11}+q^{15}+\cdots$
20280.2.a.bg	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$0$	$-2$	$-2$	$-5$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
20280.2.a.bh	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{57}) $	None	✓	?				$-1$		$0$	$-2$	$-2$	$-2$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
20280.2.a.bi	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$0$	$-2$	$-2$	$1$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
20280.2.a.bj	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{10}) $	None	✓	?				$-1$		$0$	$-2$	$-2$	$2$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
20280.2.a.bk	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{41}) $	None	✓	?				$-1$		$0$	$-2$	$-2$	$3$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
20280.2.a.bl	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{41}) $	None	✓	?				$-1$		$0$	$-2$	$2$	$-3$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
20280.2.a.bm	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{10}) $	None	✓	?				$-1$		$0$	$-2$	$2$	$-2$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
20280.2.a.bn	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{33}) $	None	✓	?				$-1$		$0$	$-2$	$2$	$-1$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
20280.2.a.bo	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{41}) $	None	✓	?				$-1$		$0$	$-2$	$2$	$1$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
20280.2.a.bp	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{57}) $	None	✓	?				$-1$		$0$	$-2$	$2$	$2$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
20280.2.a.bq	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$0$	$-2$	$2$	$5$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
20280.2.a.br	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$2$	$-2$	$0$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
20280.2.a.bs	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$0$	$2$	$-2$	$3$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
20280.2.a.bt	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$0$	$2$	$2$	$-3$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
20280.2.a.bu	$20280$	$2$	20280.a	1.a	$1$	$2$	$2$	$161.937$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$2$	$2$	$0$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
20280.2.a.bv	$20280$	$2$	20280.a	1.a	$1$	$3$	$3$	$161.937$	3.3.1016.1	None	✓	?				$-1$		$0$	$-3$	$-3$	$-4$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
20280.2.a.bw	$20280$	$2$	20280.a	1.a	$1$	$3$	$3$	$161.937$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$0$	$-3$	$-3$	$0$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
20280.2.a.bx	$20280$	$2$	20280.a	1.a	$1$	$3$	$3$	$161.937$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$0$	$-3$	$-3$	$0$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$

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Hilbert	Bianchi

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.