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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 90 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	7	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
10304.2.a.a	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-3$	$-2$	$-1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-2q^{5}-q^{7}+6q^{9}-2q^{11}+\cdots$
10304.2.a.b	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-3$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+q^{7}+6q^{9}-6q^{11}-q^{13}+\cdots$
10304.2.a.c	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-3$	$4$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+4q^{5}+q^{7}+6q^{9}+2q^{11}+\cdots$
10304.2.a.d	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$-4$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-4q^{5}+q^{7}+q^{9}-4q^{11}+\cdots$
10304.2.a.e	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$-2$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-2q^{5}+q^{7}+q^{9}-2q^{11}+\cdots$
10304.2.a.f	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$0$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots$
10304.2.a.g	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{7}+q^{9}-6q^{17}+6q^{19}+\cdots$
10304.2.a.h	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots$
10304.2.a.i	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$0$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{7}+q^{9}-4q^{11}+6q^{17}+\cdots$
10304.2.a.j	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$2$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+2q^{5}-q^{7}+q^{9}-2q^{11}+\cdots$
10304.2.a.k	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$2$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+2q^{5}+q^{7}+q^{9}-6q^{11}+\cdots$
10304.2.a.l	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$2$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+2q^{5}+q^{7}+q^{9}-2q^{11}+\cdots$
10304.2.a.m	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$4$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+4q^{5}-q^{7}+q^{9}-4q^{11}+\cdots$
10304.2.a.n	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}-2q^{9}-2q^{11}+3q^{13}+\cdots$
10304.2.a.o	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$0$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}-2q^{9}+6q^{11}+3q^{13}+\cdots$
10304.2.a.p	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$2$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{5}-q^{7}-2q^{9}+2q^{11}+\cdots$
10304.2.a.q	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$-1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}-3q^{9}+4q^{13}-4q^{17}+\cdots$
10304.2.a.r	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}-3q^{9}+4q^{11}-6q^{13}+\cdots$
10304.2.a.s	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}-3q^{9}-4q^{11}-6q^{13}+\cdots$
10304.2.a.t	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}-3q^{9}+4q^{13}-4q^{17}+\cdots$
10304.2.a.u	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{7}-3q^{9}-4q^{11}-4q^{13}+\cdots$
10304.2.a.v	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}-3q^{9}+4q^{11}-4q^{13}+\cdots$
10304.2.a.w	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$1$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}-2q^{9}-6q^{11}+3q^{13}+\cdots$
10304.2.a.x	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$1$	$0$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}-2q^{9}+2q^{11}+3q^{13}+\cdots$
10304.2.a.y	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$1$	$2$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{5}+q^{7}-2q^{9}-2q^{11}+\cdots$
10304.2.a.z	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$2$	$-4$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-4q^{5}-q^{7}+q^{9}+4q^{11}+\cdots$
10304.2.a.ba	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$2$	$-2$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-2q^{5}-q^{7}+q^{9}+2q^{11}+\cdots$
10304.2.a.bb	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$2$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{7}+q^{9}+4q^{11}+6q^{17}+\cdots$
10304.2.a.bc	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$2$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots$
10304.2.a.bd	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$2$	$0$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{7}+q^{9}-6q^{17}-6q^{19}+\cdots$
10304.2.a.be	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$2$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots$
10304.2.a.bf	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$2$	$2$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+2q^{5}-q^{7}+q^{9}+2q^{11}+\cdots$
10304.2.a.bg	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$2$	$2$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+2q^{5}-q^{7}+q^{9}+6q^{11}+\cdots$
10304.2.a.bh	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$2$	$2$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+2q^{5}+q^{7}+q^{9}+2q^{11}+\cdots$
10304.2.a.bi	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$2$	$4$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+4q^{5}+q^{7}+q^{9}+4q^{11}+\cdots$
10304.2.a.bj	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$3$	$-2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-2q^{5}+q^{7}+6q^{9}+2q^{11}+\cdots$
10304.2.a.bk	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$3$	$0$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-q^{7}+6q^{9}+6q^{11}-q^{13}+\cdots$
10304.2.a.bl	$10304$	$2$	10304.a	1.a	$1$	$1$	$1$	$82.278$	$\Q$	None	✓	?				$-1$		$0$	$3$	$4$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+4q^{5}-q^{7}+6q^{9}-2q^{11}+\cdots$
10304.2.a.bm	$10304$	$2$	10304.a	1.a	$1$	$2$	$2$	$82.278$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$-2$	$-2$	$-2$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
10304.2.a.bn	$10304$	$2$	10304.a	1.a	$1$	$2$	$2$	$82.278$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$-2$	$-2$	$2$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10304.2.a.bo	$10304$	$2$	10304.a	1.a	$1$	$2$	$2$	$82.278$	$\Q(\sqrt{6}) $	None	✓	?				$-1$		$0$	$-2$	$0$	$-2$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
10304.2.a.bp	$10304$	$2$	10304.a	1.a	$1$	$2$	$2$	$82.278$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$-2$	$2$	$2$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10304.2.a.bq	$10304$	$2$	10304.a	1.a	$1$	$2$	$2$	$82.278$	$\Q(\sqrt{7}) $	None	✓	?				$-1$		$0$	$-2$	$2$	$2$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10304.2.a.br	$10304$	$2$	10304.a	1.a	$1$	$2$	$2$	$82.278$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$-2$	$2$	$2$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10304.2.a.bs	$10304$	$2$	10304.a	1.a	$1$	$2$	$2$	$82.278$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$0$	$-1$	$4$	$2$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10304.2.a.bt	$10304$	$2$	10304.a	1.a	$1$	$2$	$2$	$82.278$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$4$	$-2$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
10304.2.a.bu	$10304$	$2$	10304.a	1.a	$1$	$2$	$2$	$82.278$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$4$	$2$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10304.2.a.bv	$10304$	$2$	10304.a	1.a	$1$	$2$	$2$	$82.278$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$0$	$1$	$4$	$-2$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
10304.2.a.bw	$10304$	$2$	10304.a	1.a	$1$	$2$	$2$	$82.278$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$2$	$-2$	$-2$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
10304.2.a.bx	$10304$	$2$	10304.a	1.a	$1$	$2$	$2$	$82.278$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$2$	$-2$	$2$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$

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Classical	Maass
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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.