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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 118 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	5	7	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
30345.2.a.a	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$-2$	$-1$	$1$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}-q^{7}+\cdots$
30345.2.a.b	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$-2$	$1$	$-1$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+q^{7}+\cdots$
30345.2.a.c	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
30345.2.a.d	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
30345.2.a.e	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
30345.2.a.f	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
30345.2.a.g	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
30345.2.a.h	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
30345.2.a.i	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
30345.2.a.j	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
30345.2.a.k	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
30345.2.a.l	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
30345.2.a.m	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
30345.2.a.n	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}-q^{5}+q^{7}+q^{9}+6q^{11}+\cdots$
30345.2.a.o	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}+q^{5}-q^{7}+q^{9}+6q^{11}+\cdots$
30345.2.a.p	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}-q^{5}+q^{7}+q^{9}+2q^{11}+\cdots$
30345.2.a.q	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+q^{5}-q^{7}+q^{9}-6q^{11}+\cdots$
30345.2.a.r	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+q^{5}-q^{7}+q^{9}-2q^{11}+\cdots$
30345.2.a.s	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
30345.2.a.t	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
30345.2.a.u	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
30345.2.a.v	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
30345.2.a.w	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
30345.2.a.x	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
30345.2.a.y	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
30345.2.a.z	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
30345.2.a.ba	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
30345.2.a.bb	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
30345.2.a.bc	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
30345.2.a.bd	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
30345.2.a.be	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
30345.2.a.bf	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
30345.2.a.bg	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$2$	$-1$	$-1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}-q^{3}+2q^{4}-q^{5}-2q^{6}+q^{7}+\cdots$
30345.2.a.bh	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$2$	$-1$	$1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}-q^{3}+2q^{4}+q^{5}-2q^{6}-q^{7}+\cdots$
30345.2.a.bi	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$2$	$1$	$-1$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}+q^{7}+\cdots$
30345.2.a.bj	$30345$	$2$	30345.a	1.a	$1$	$1$	$1$	$242.306$	$\Q$	None	✓	?				$-1$		$2$	$1$	$1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}-q^{7}+\cdots$
30345.2.a.bk	$30345$	$2$	30345.a	1.a	$1$	$2$	$2$	$242.306$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$-2$	$-2$	$2$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30345.2.a.bl	$30345$	$2$	30345.a	1.a	$1$	$2$	$2$	$242.306$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$-2$	$2$	$2$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30345.2.a.bm	$30345$	$2$	30345.a	1.a	$1$	$2$	$2$	$242.306$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$2$	$2$	$-2$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30345.2.a.bn	$30345$	$2$	30345.a	1.a	$1$	$2$	$2$	$242.306$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$2$	$-2$	$2$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30345.2.a.bo	$30345$	$2$	30345.a	1.a	$1$	$2$	$2$	$242.306$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$2$	$-2$	$-2$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30345.2.a.bp	$30345$	$2$	30345.a	1.a	$1$	$2$	$2$	$242.306$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$2$	$2$	$-2$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30345.2.a.bq	$30345$	$2$	30345.a	1.a	$1$	$2$	$2$	$242.306$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$1$	$-2$	$-2$	$-2$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30345.2.a.br	$30345$	$2$	30345.a	1.a	$1$	$2$	$2$	$242.306$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$1$	$-2$	$2$	$2$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30345.2.a.bs	$30345$	$2$	30345.a	1.a	$1$	$2$	$2$	$242.306$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$2$	$-2$	$-2$	$2$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30345.2.a.bt	$30345$	$2$	30345.a	1.a	$1$	$2$	$2$	$242.306$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$2$	$2$	$2$	$-2$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30345.2.a.bu	$30345$	$2$	30345.a	1.a	$1$	$3$	$3$	$242.306$	3.3.148.1	None	✓	?				$-1$		$-3$	$3$	$3$	$-3$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30345.2.a.bv	$30345$	$2$	30345.a	1.a	$1$	$3$	$3$	$242.306$	3.3.148.1	None	✓	?				$-1$		$-1$	$-3$	$-3$	$3$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30345.2.a.bw	$30345$	$2$	30345.a	1.a	$1$	$3$	$3$	$242.306$	3.3.148.1	None	✓	?				$-1$		$-1$	$-3$	$3$	$3$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30345.2.a.bx	$30345$	$2$	30345.a	1.a	$1$	$3$	$3$	$242.306$	3.3.564.1	None	✓	?				$-1$		$-1$	$-3$	$-3$	$-3$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$

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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.