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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (47 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5544.2.a.a	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-q^{7}+q^{11}-3q^{13}+6q^{17}+\cdots$
5544.2.a.b	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}-q^{11}+6q^{13}-6q^{17}+\cdots$
5544.2.a.c	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}-q^{11}-6q^{13}+2q^{17}+\cdots$
5544.2.a.d	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}+q^{11}-4q^{17}+4q^{19}+\cdots$
5544.2.a.e	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}+q^{11}+4q^{13}-4q^{19}+\cdots$
5544.2.a.f	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}+q^{11}+4q^{13}+6q^{17}+\cdots$
5544.2.a.g	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}+q^{11}-5q^{13}+4q^{17}+\cdots$
5544.2.a.h	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}+q^{11}+3q^{13}+7q^{19}+\cdots$
5544.2.a.i	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}+q^{11}-q^{13}+2q^{17}+\cdots$
5544.2.a.j	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}+q^{11}+3q^{13}-2q^{17}+\cdots$
5544.2.a.k	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{7}+q^{11}-6q^{13}-2q^{19}-4q^{23}+\cdots$
5544.2.a.l	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+q^{11}+2q^{13}+8q^{17}-6q^{19}+\cdots$
5544.2.a.m	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{7}-q^{11}+q^{13}+6q^{17}+\cdots$
5544.2.a.n	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}-q^{11}-q^{13}-2q^{17}+\cdots$
5544.2.a.o	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}-q^{11}+2q^{17}-2q^{19}+\cdots$
5544.2.a.p	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}-q^{11}+3q^{13}+2q^{17}+\cdots$
5544.2.a.q	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}+q^{11}-5q^{13}+6q^{17}+\cdots$
5544.2.a.r	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}+q^{11}-3q^{13}-4q^{17}+\cdots$
5544.2.a.s	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$2$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{7}+q^{11}-2q^{13}-2q^{17}+\cdots$
5544.2.a.t	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}-q^{11}+4q^{13}-6q^{17}+\cdots$
5544.2.a.u	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}+q^{11}+2q^{13}+2q^{17}+\cdots$
5544.2.a.v	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-q^{7}-q^{11}-3q^{13}-6q^{17}+\cdots$
5544.2.a.w	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}+q^{7}-q^{11}-3q^{13}-4q^{17}+\cdots$
5544.2.a.x	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}+q^{7}-q^{11}-q^{13}+2q^{17}+\cdots$
5544.2.a.y	$5544$	$2$	5544.a	1.a	$1$	$1$	$1$	$44.269$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}-q^{7}+q^{11}-2q^{13}+2q^{19}+\cdots$
5544.2.a.z	$5544$	$2$	5544.a	1.a	$1$	$2$	$2$	$44.269$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$0$	$-3$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}-q^{7}-q^{11}+(1-\beta )q^{13}+\cdots$
5544.2.a.ba	$5544$	$2$	5544.a	1.a	$1$	$2$	$2$	$44.269$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$0$	$-3$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}-q^{7}+q^{11}+(1+\beta )q^{13}+\cdots$
5544.2.a.bb	$5544$	$2$	5544.a	1.a	$1$	$2$	$2$	$44.269$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$0$	$-3$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}+q^{7}-q^{11}+(3-\beta )q^{13}+\cdots$
5544.2.a.bc	$5544$	$2$	5544.a	1.a	$1$	$2$	$2$	$44.269$	$\Q(\sqrt{41}) $	None	✓	$1$	$0$	$0$	$0$	$-1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{5}-q^{7}-q^{11}-\beta q^{13}+2q^{17}+\cdots$
5544.2.a.bd	$5544$	$2$	5544.a	1.a	$1$	$2$	$2$	$44.269$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$-1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{5}-q^{7}+q^{11}+(2-\beta )q^{13}+2\beta q^{17}+\cdots$
5544.2.a.be	$5544$	$2$	5544.a	1.a	$1$	$2$	$2$	$44.269$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$0$	$3$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}-q^{7}-q^{11}+(-1-\beta )q^{13}+\cdots$
5544.2.a.bf	$5544$	$2$	5544.a	1.a	$1$	$2$	$2$	$44.269$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$3$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}-q^{7}-q^{11}-2\beta q^{13}+\cdots$
5544.2.a.bg	$5544$	$2$	5544.a	1.a	$1$	$2$	$2$	$44.269$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$3$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}-q^{7}-q^{11}+(-1+3\beta )q^{13}+\cdots$
5544.2.a.bh	$5544$	$2$	5544.a	1.a	$1$	$2$	$2$	$44.269$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$0$	$3$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}-q^{7}+q^{11}+(1-\beta )q^{13}+\cdots$
5544.2.a.bi	$5544$	$2$	5544.a	1.a	$1$	$2$	$2$	$44.269$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$0$	$0$	$3$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+q^{7}+q^{11}+(-3+\beta )q^{13}+\cdots$
5544.2.a.bj	$5544$	$2$	5544.a	1.a	$1$	$3$	$3$	$44.269$	3.3.229.1	None	✓	$1$	$1$	$0$	$0$	$-1$	$3$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{5}+q^{7}-q^{11}+(-2+\beta _{1}-\beta _{2})q^{13}+\cdots$
5544.2.a.bk	$5544$	$2$	5544.a	1.a	$1$	$3$	$3$	$44.269$	3.3.568.1	None	✓	$1$	$0$	$0$	$0$	$-1$	$3$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{5}+q^{7}-q^{11}+\beta _{1}q^{13}+(-2+\cdots)q^{17}+\cdots$
5544.2.a.bl	$5544$	$2$	5544.a	1.a	$1$	$3$	$3$	$44.269$	3.3.961.1	None	✓	$1$	$0$	$0$	$0$	$-1$	$3$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{5}+q^{7}+q^{11}+(1+\beta _{2})q^{13}+\cdots$
5544.2.a.bm	$5544$	$2$	5544.a	1.a	$1$	$4$	$4$	$44.269$	4.4.11348.1	None	✓	$1$	$1$	$0$	$0$	$-5$	$-4$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{5}-q^{7}-q^{11}+(1+\beta _{3})q^{13}+\cdots$
5544.2.a.bn	$5544$	$2$	5544.a	1.a	$1$	$4$	$4$	$44.269$	4.4.22592.1	None	✓	$1$	$0$	$0$	$0$	$-2$	$-4$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{5}-q^{7}-q^{11}+(-1-\beta _{1}+\beta _{2}+\cdots)q^{13}+\cdots$
5544.2.a.bo	$5544$	$2$	5544.a	1.a	$1$	$4$	$4$	$44.269$	4.4.123040.1	None	✓	$1$	$0$	$0$	$0$	$-2$	$4$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{5}+q^{7}-q^{11}+(1-\beta _{3})q^{13}+\cdots$
5544.2.a.bp	$5544$	$2$	5544.a	1.a	$1$	$4$	$4$	$44.269$	4.4.22592.1	None	✓	$1$	$0$	$0$	$0$	$2$	$-4$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{5}-q^{7}+q^{11}+(-1-\beta _{1}+\beta _{2}+\cdots)q^{13}+\cdots$
5544.2.a.bq	$5544$	$2$	5544.a	1.a	$1$	$4$	$4$	$44.269$	4.4.123040.1	None	✓	$1$	$0$	$0$	$0$	$2$	$4$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{5}+q^{7}+q^{11}+(1-\beta _{3})q^{13}+\cdots$
5544.2.f.a	$5544$	$2$	5544.f	33.d	$2$	$36$	$36$	$44.269$		None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
5544.2.f.b	$5544$	$2$	5544.f	33.d	$2$	$36$	$36$	$44.269$		None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
5544.2.v.a	$5544$	$2$	5544.v	21.c	$2$	$40$	$40$	$44.269$		None		$4$	$0$	$0$	$0$	$0$	$-8$			$\mathrm{SU}(2)[C_{2}]$
5544.2.v.b	$5544$	$2$	5544.v	21.c	$2$	$40$	$40$	$44.269$		None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$

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Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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.