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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 (1-50 of 64 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	5	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6080.2.a.a	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$2$	$0$	$-3$	$-1$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-q^{5}-q^{7}+6q^{9}-4q^{11}+\cdots$
6080.2.a.b	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$1$	$5$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+q^{5}+5q^{7}+6q^{9}-4q^{11}+\cdots$
6080.2.a.c	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$0$	$0$	$-2$	$-1$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots$
6080.2.a.d	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$-1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}+q^{9}-4q^{11}-4q^{13}+\cdots$
6080.2.a.e	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$0$	$0$	$-2$	$-1$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots$
6080.2.a.f	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$1$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{5}+2q^{7}+q^{9}-6q^{13}+\cdots$
6080.2.a.g	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$2$	$0$	$-1$	$-1$	$-3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-3q^{7}-2q^{9}-5q^{13}+\cdots$
6080.2.a.h	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}-2q^{9}+q^{13}+q^{15}+\cdots$
6080.2.a.i	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}-2q^{9}+3q^{13}-q^{15}+\cdots$
6080.2.a.j	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-3q^{9}-4q^{11}+6q^{13}-6q^{17}+\cdots$
6080.2.a.k	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-3q^{9}+4q^{11}+6q^{13}-6q^{17}+\cdots$
6080.2.a.l	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}-3q^{9}-4q^{11}+4q^{13}+\cdots$
6080.2.a.m	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}-3q^{9}+4q^{11}+4q^{13}+\cdots$
6080.2.a.n	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}-3q^{9}-4q^{11}+4q^{13}+\cdots$
6080.2.a.o	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}-3q^{9}+4q^{11}+4q^{13}+\cdots$
6080.2.a.p	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}-2q^{9}+q^{13}-q^{15}+\cdots$
6080.2.a.q	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+3q^{7}-2q^{9}-5q^{13}+\cdots$
6080.2.a.r	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$-1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}-2q^{9}+3q^{13}+q^{15}+\cdots$
6080.2.a.s	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$0$	$0$	$2$	$-1$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots$
6080.2.a.t	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$-1$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}+q^{9}+4q^{11}-4q^{13}+\cdots$
6080.2.a.u	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$0$	$0$	$2$	$-1$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots$
6080.2.a.v	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$1$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{5}-2q^{7}+q^{9}-6q^{13}+\cdots$
6080.2.a.w	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$-1$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-q^{5}+q^{7}+6q^{9}+4q^{11}+\cdots$
6080.2.a.x	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$1$	$-5$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+q^{5}-5q^{7}+6q^{9}+4q^{11}+\cdots$
6080.2.a.y	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$-4$	$-2$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-2+\beta )q^{3}-q^{5}+(2+2\beta )q^{7}+(3+\cdots)q^{9}+\cdots$
6080.2.a.z	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$-2$	$-2$	$4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}-q^{5}+2q^{7}+(1-2\beta )q^{9}+\cdots$
6080.2.a.ba	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$-2$	$2$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+q^{5}+(1-2\beta )q^{9}-2q^{11}+\cdots$
6080.2.a.bb	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$-1$	$-2$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}-q^{5}+\beta q^{7}+(1+\beta )q^{9}+4q^{11}+\cdots$
6080.2.a.bc	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$-1$	$2$	$-5$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+q^{5}+(-2-\beta )q^{7}+(1+\beta )q^{9}+\cdots$
6080.2.a.bd	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$0$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{5}-\beta q^{7}-3q^{9}-4q^{11}+(-2+\cdots)q^{13}+\cdots$
6080.2.a.be	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$0$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{5}+\beta q^{7}-3q^{9}+4q^{11}+(-2+\cdots)q^{13}+\cdots$
6080.2.a.bf	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+q^{5}-2\beta q^{7}-q^{9}+(-2+2\beta )q^{11}+\cdots$
6080.2.a.bg	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+q^{5}-2\beta q^{7}-q^{9}+(2+2\beta )q^{11}+\cdots$
6080.2.a.bh	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$1$	$-2$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-q^{5}-\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots$
6080.2.a.bi	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$1$	$2$	$5$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+q^{5}+(2+\beta )q^{7}+(1+\beta )q^{9}+\cdots$
6080.2.a.bj	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$2$	$-2$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}-q^{5}-2q^{7}+(1+2\beta )q^{9}+\cdots$
6080.2.a.bk	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$2$	$2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+q^{5}+(1+2\beta )q^{9}+2q^{11}+\cdots$
6080.2.a.bl	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$4$	$-2$	$-4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(2+\beta )q^{3}-q^{5}+(-2+2\beta )q^{7}+(3+\cdots)q^{9}+\cdots$
6080.2.a.bm	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.148.1	None	✓	$1$	$1$	$0$	$-4$	$-3$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{1})q^{3}-q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots$
6080.2.a.bn	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.148.1	None	✓	$1$	$1$	$0$	$-4$	$3$	$4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{1})q^{3}+q^{5}+(1+\beta _{1}-\beta _{2})q^{7}+\cdots$
6080.2.a.bo	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.148.1	None	✓	$1$	$0$	$0$	$-2$	$-3$	$0$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}-q^{5}+(\beta _{1}-\beta _{2})q^{7}+\cdots$
6080.2.a.bp	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.564.1	None	✓	$1$	$1$	$0$	$-2$	$3$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}+q^{5}+(-1+\beta _{2})q^{7}+\cdots$
6080.2.a.bq	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.229.1	None	✓	$1$	$1$	$0$	$-1$	$-3$	$1$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{3}-q^{5}-\beta _{1}q^{7}+(1-\beta _{1})q^{9}+\cdots$
6080.2.a.br	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.316.1	None	✓	$1$	$0$	$0$	$-1$	$3$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+q^{5}+(1-2\beta _{1}+\beta _{2})q^{7}+\cdots$
6080.2.a.bs	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.568.1	None	✓	$1$	$1$	$0$	$-1$	$3$	$5$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+q^{5}+(2+\beta _{2})q^{7}+(1+2\beta _{1}+\cdots)q^{9}+\cdots$
6080.2.a.bt	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.148.1	None	✓	$1$	$1$	$0$	$0$	$-3$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{3}-q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots$
6080.2.a.bu	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.148.1	None	✓	$1$	$0$	$0$	$0$	$-3$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{3}-q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+(-\beta _{1}+\cdots)q^{9}+\cdots$
6080.2.a.bv	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.229.1	None	✓	$1$	$1$	$0$	$1$	$-3$	$-1$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{3}-q^{5}+\beta _{1}q^{7}+(1-\beta _{1})q^{9}+\cdots$
6080.2.a.bw	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.568.1	None	✓	$1$	$1$	$0$	$1$	$3$	$-5$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+q^{5}+(-2-\beta _{2})q^{7}+(1+2\beta _{1}+\cdots)q^{9}+\cdots$
6080.2.a.bx	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.316.1	None	✓	$1$	$0$	$0$	$1$	$3$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+q^{5}+(-1+2\beta _{1}-\beta _{2})q^{7}+\cdots$

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Elliptic curves over $\Q$
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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.