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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 75 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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
24300.2.a.a	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-5$	$-$	$-$	$+$	$+$	$1$		$q-5q^{7}-5q^{13}-7q^{19}+11q^{31}+\cdots$
24300.2.a.b	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-5$	$-$	$+$	$+$	$-$	$1$		$q-5q^{7}-5q^{13}+8q^{19}-4q^{31}-11q^{37}+\cdots$
24300.2.a.c	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-5$	$-$	$-$	$+$	$+$	$1$		$q-5q^{7}-2q^{13}-7q^{19}-4q^{31}+10q^{37}+\cdots$
24300.2.a.d	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-5$	$-$	$+$	$+$	$-$	$1$		$q-5q^{7}+7q^{13}+8q^{19}+11q^{31}+\cdots$
24300.2.a.e	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$-$	$-$	$-$	$1$		$q-4q^{7}-7q^{13}-7q^{19}-4q^{31}-q^{37}+\cdots$
24300.2.a.f	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$		$q-4q^{7}+2q^{13}-q^{19}-7q^{31}-q^{37}+\cdots$
24300.2.a.g	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$		$q-4q^{7}+5q^{13}-q^{19}-4q^{31}+11q^{37}+\cdots$
24300.2.a.h	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-5q^{11}+6q^{13}+7q^{17}-6q^{19}+\cdots$
24300.2.a.i	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-1$	$-$	$-$	$-$	$-$	$1$		$q-q^{7}+5q^{13}-q^{19}+11q^{31}-q^{37}+\cdots$
24300.2.a.j	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$		$q-q^{7}+5q^{13}+8q^{19}-7q^{31}-10q^{37}+\cdots$
24300.2.a.k	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}+5q^{11}+6q^{13}-7q^{17}-6q^{19}+\cdots$
24300.2.a.l	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-5q^{11}-6q^{13}-7q^{17}-6q^{19}+\cdots$
24300.2.a.m	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-3q^{11}-2q^{13}+3q^{17}-4q^{19}+\cdots$
24300.2.a.n	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$1$		$q+q^{7}-5q^{13}-q^{19}+11q^{31}+q^{37}+\cdots$
24300.2.a.o	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$-$	$+$	$+$	$1$		$q+q^{7}-5q^{13}+8q^{19}-7q^{31}+10q^{37}+\cdots$
24300.2.a.p	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$-$	$+$	$+$	$1$		$q+q^{7}-2q^{13}+8q^{19}+11q^{31}-11q^{37}+\cdots$
24300.2.a.q	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$1$		$q+q^{7}+7q^{13}-q^{19}-7q^{31}-11q^{37}+\cdots$
24300.2.a.r	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+3q^{11}-2q^{13}-3q^{17}-4q^{19}+\cdots$
24300.2.a.s	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+5q^{11}-6q^{13}+7q^{17}-6q^{19}+\cdots$
24300.2.a.t	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$+$	$+$	$-$	$1$		$q+4q^{7}-5q^{13}-7q^{19}-7q^{31}+10q^{37}+\cdots$
24300.2.a.u	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$-$	$+$	$+$	$1$		$q+4q^{7}-5q^{13}-q^{19}-4q^{31}-11q^{37}+\cdots$
24300.2.a.v	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$-$	$+$	$+$	$1$		$q+4q^{7}-2q^{13}-q^{19}-7q^{31}+q^{37}+\cdots$
24300.2.a.w	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$+$	$+$	$-$	$1$		$q+4q^{7}+7q^{13}-7q^{19}-4q^{31}+q^{37}+\cdots$
24300.2.a.x	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$5$	$-$	$-$	$-$	$-$	$1$		$q+5q^{7}-7q^{13}+8q^{19}+11q^{31}+\cdots$
24300.2.a.y	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$5$	$-$	$+$	$-$	$+$	$1$		$q+5q^{7}+2q^{13}-7q^{19}-4q^{31}-10q^{37}+\cdots$
24300.2.a.z	$24300$	$2$	24300.a	1.a	$1$	$1$	$1$	$194.036$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$5$	$-$	$-$	$-$	$-$	$1$		$q+5q^{7}+5q^{13}+8q^{19}-4q^{31}+11q^{37}+\cdots$
24300.2.a.ba	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{2}) $	not computed	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$-$	$+$	$+$
24300.2.a.bb	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{2}) $	not computed	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$+$	$+$	$-$
24300.2.a.bc	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{2}) $	not computed	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$-$	$+$	$+$
24300.2.a.bd	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{2}) $	not computed	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$-$	$+$	$+$
24300.2.a.be	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{6}) $	not computed	✓	?				$-1$		$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$
24300.2.a.bf	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{10}) $	not computed	✓	?				$-1$		$0$	$0$	$0$	$-2$	$-$	$-$	$-$	$-$
24300.2.a.bg	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24300.2.a.bh	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{33}) $	None	✓	?				$-1$		$0$	$0$	$0$	$-1$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24300.2.a.bi	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24300.2.a.bj	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{33}) $	None	✓	?				$-1$		$0$	$0$	$0$	$-1$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24300.2.a.bk	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$0$	$0$	$2$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24300.2.a.bl	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{10}) $	not computed	✓	?				$-1$		$0$	$0$	$0$	$2$	$-$	$+$	$-$	$+$
24300.2.a.bm	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$2$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24300.2.a.bn	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$2$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24300.2.a.bo	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{6}) $	not computed	✓	?				$-1$		$0$	$0$	$0$	$2$	$-$	$-$	$+$	$+$
24300.2.a.bp	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$0$	$0$	$2$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24300.2.a.bq	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{2}) $	not computed	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$+$	$-$	$+$
24300.2.a.br	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{2}) $	not computed	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$+$	$-$	$+$
24300.2.a.bs	$24300$	$2$	24300.a	1.a	$1$	$2$	$2$	$194.036$	$\Q(\sqrt{2}) $	not computed	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$-$	$-$	$-$
24300.2.a.bt	$24300$	$2$	24300.a	1.a	$1$	$3$	$3$	$194.036$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$0$	$0$	$-3$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
24300.2.a.bu	$24300$	$2$	24300.a	1.a	$1$	$3$	$3$	$194.036$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$0$	$0$	$-3$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24300.2.a.bv	$24300$	$2$	24300.a	1.a	$1$	$3$	$3$	$194.036$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24300.2.a.bw	$24300$	$2$	24300.a	1.a	$1$	$3$	$3$	$194.036$	3.3.621.1	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24300.2.a.bx	$24300$	$2$	24300.a	1.a	$1$	$3$	$3$	$194.036$	3.3.621.1	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

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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.