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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 (41 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	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
10404.2.a.a	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-2q^{7}-3q^{11}-q^{13}-7q^{19}+\cdots$
10404.2.a.b	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-3q^{7}-4q^{11}+q^{13}+7q^{19}+\cdots$
10404.2.a.c	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}-3q^{13}+q^{19}+6q^{23}+\cdots$
10404.2.a.d	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-4q^{7}+3q^{11}+3q^{13}+q^{19}+\cdots$
10404.2.a.e	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}+3q^{11}+3q^{13}-3q^{19}+\cdots$
10404.2.a.f	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-5$	$-$	$+$	$+$	$-$	$1$		$q-5q^{7}-7q^{13}-7q^{19}-5q^{25}-11q^{31}+\cdots$
10404.2.a.g	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$		$q-q^{7}+5q^{13}-q^{19}-5q^{25}-7q^{31}+\cdots$
10404.2.a.h	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$1$		$q+q^{7}+5q^{13}-q^{19}-5q^{25}+7q^{31}+\cdots$
10404.2.a.i	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$+$	$+$	$-$	$1$		$q+4q^{7}+2q^{13}+8q^{19}-5q^{25}+4q^{31}+\cdots$
10404.2.a.j	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$5$	$-$	$+$	$-$	$+$	$1$		$q+5q^{7}-7q^{13}-7q^{19}-5q^{25}+11q^{31}+\cdots$
10404.2.a.k	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+5q^{11}-5q^{13}+q^{19}-3q^{23}+\cdots$
10404.2.a.l	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}-3q^{11}+3q^{13}-3q^{19}+\cdots$
10404.2.a.m	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{7}-3q^{13}+q^{19}-6q^{23}+\cdots$
10404.2.a.n	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+3q^{7}+4q^{11}+q^{13}+7q^{19}+\cdots$
10404.2.a.o	$10404$	$2$	10404.a	1.a	$1$	$1$	$1$	$83.076$	$\Q$	None	✓	?				$-1$		$0$	$0$	$3$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-2q^{7}+3q^{11}-q^{13}-7q^{19}+\cdots$
10404.2.a.p	$10404$	$2$	10404.a	1.a	$1$	$2$	$2$	$83.076$	$\Q(\sqrt{17}) $	not computed	✓	?				$-1$		$0$	$0$	$-3$	$0$	$-$	$+$	$+$	$-$
10404.2.a.q	$10404$	$2$	10404.a	1.a	$1$	$2$	$2$	$83.076$	$\Q(\sqrt{21}) $	None	✓	?				$-1$		$0$	$0$	$-3$	$5$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10404.2.a.r	$10404$	$2$	10404.a	1.a	$1$	$2$	$2$	$83.076$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$-4$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10404.2.a.s	$10404$	$2$	10404.a	1.a	$1$	$2$	$2$	$83.076$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10404.2.a.t	$10404$	$2$	10404.a	1.a	$1$	$2$	$2$	$83.076$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
10404.2.a.u	$10404$	$2$	10404.a	1.a	$1$	$2$	$2$	$83.076$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
10404.2.a.v	$10404$	$2$	10404.a	1.a	$1$	$2$	$2$	$83.076$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$0$	$0$	$2$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10404.2.a.w	$10404$	$2$	10404.a	1.a	$1$	$2$	$2$	$83.076$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$2$	$4$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10404.2.a.x	$10404$	$2$	10404.a	1.a	$1$	$2$	$2$	$83.076$	$\Q(\sqrt{21}) $	None	✓	?				$-1$		$0$	$0$	$3$	$-5$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10404.2.a.y	$10404$	$2$	10404.a	1.a	$1$	$2$	$2$	$83.076$	$\Q(\sqrt{17}) $	not computed	✓	?				$-1$		$0$	$0$	$3$	$0$	$-$	$+$	$+$	$-$
10404.2.a.z	$10404$	$2$	10404.a	1.a	$1$	$3$	$3$	$83.076$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$0$	$-6$	$-6$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10404.2.a.ba	$10404$	$2$	10404.a	1.a	$1$	$3$	$3$	$83.076$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$0$	$-3$	$-3$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10404.2.a.bb	$10404$	$2$	10404.a	1.a	$1$	$3$	$3$	$83.076$	$\Q(\zeta_{18})^+$	not computed	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$	$+$
10404.2.a.bc	$10404$	$2$	10404.a	1.a	$1$	$3$	$3$	$83.076$	$\Q(\zeta_{18})^+$	not computed	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$
10404.2.a.bd	$10404$	$2$	10404.a	1.a	$1$	$3$	$3$	$83.076$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$0$	$3$	$3$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10404.2.a.be	$10404$	$2$	10404.a	1.a	$1$	$3$	$3$	$83.076$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$0$	$6$	$6$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10404.2.a.bf	$10404$	$2$	10404.a	1.a	$1$	$4$	$4$	$83.076$	$\Q(\zeta_{16})^+$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10404.2.a.bg	$10404$	$2$	10404.a	1.a	$1$	$4$	$4$	$83.076$	$\Q(\sqrt{2}, \sqrt{13})$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10404.2.a.bh	$10404$	$2$	10404.a	1.a	$1$	$4$	$4$	$83.076$	$\Q(\sqrt{2}, \sqrt{17})$	not computed	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$
10404.2.a.bi	$10404$	$2$	10404.a	1.a	$1$	$6$	$6$	$83.076$	6.6.125662833.1	None	✓	?	✓			$-1$		$0$	$0$	$-3$	$3$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10404.2.a.bj	$10404$	$2$	10404.a	1.a	$1$	$6$	$6$	$83.076$	6.6.30652992.1	not computed	✓	?				$-1$		$0$	$0$	$0$	$-6$	$-$	$+$	$-$	$+$
10404.2.a.bk	$10404$	$2$	10404.a	1.a	$1$	$6$	$6$	$83.076$	6.6.30652992.1	not computed	✓	?	✓			$-1$		$0$	$0$	$0$	$6$	$-$	$+$	$+$	$-$
10404.2.a.bl	$10404$	$2$	10404.a	1.a	$1$	$6$	$6$	$83.076$	6.6.125662833.1	None	✓	?				$-1$		$0$	$0$	$3$	$-3$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10404.2.a.bm	$10404$	$2$	10404.a	1.a	$1$	$8$	$8$	$83.076$	8.8.$\cdots$.1	None	✓	?				$-1$		$0$	$0$	$-4$	$8$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10404.2.a.bn	$10404$	$2$	10404.a	1.a	$1$	$8$	$8$	$83.076$	8.8.4848615424.1	not computed	✓	?	✓			$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$	$+$
10404.2.a.bo	$10404$	$2$	10404.a	1.a	$1$	$8$	$8$	$83.076$	8.8.$\cdots$.1	None	✓	?				$-1$		$0$	$0$	$4$	$-8$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$ over number fields
Genus 2 curves
Higher genus families
Abelian varieties over $\F_{q}$
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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.