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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 101 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	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7744.2.a.a	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$-3$	$-1$	$0$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-q^{5}+6q^{9}-6q^{13}+3q^{15}+\cdots$
7744.2.a.b	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$-3$	$3$	$-2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+3q^{5}-2q^{7}+6q^{9}-9q^{15}+\cdots$
7744.2.a.c	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$2$	$0$	$-2$	$-1$	$-2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}-2q^{7}+q^{9}-q^{13}+2q^{15}+\cdots$
7744.2.a.d	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$-1$	$-2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}-2q^{7}+q^{9}+q^{13}+2q^{15}+\cdots$
7744.2.a.e	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$-1$	$2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}+2q^{7}+q^{9}-q^{13}+2q^{15}+\cdots$
7744.2.a.f	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$0$	$0$	$-2$	$-1$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}+2q^{7}+q^{9}+q^{13}+2q^{15}+\cdots$
7744.2.a.g	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$3$	$-2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+3q^{5}-2q^{7}+q^{9}-5q^{13}+\cdots$
7744.2.a.h	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$3$	$2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+3q^{5}+2q^{7}+q^{9}+5q^{13}+\cdots$
7744.2.a.i	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$-4$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-4q^{7}-2q^{9}-2q^{13}+\cdots$
7744.2.a.j	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$-4$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-4q^{7}-2q^{9}+4q^{13}+\cdots$
7744.2.a.k	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$-2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-2q^{7}-2q^{9}+4q^{13}+\cdots$
7744.2.a.l	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$4$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+4q^{7}-2q^{9}-4q^{13}+\cdots$
7744.2.a.m	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$3$	$-2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{5}-2q^{7}-2q^{9}-4q^{13}+\cdots$
7744.2.a.n	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	$\Q(\sqrt{-11}) $	✓	$2$	$0$	$0$	$-1$	$3$	$0$	$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	$q-q^{3}+3q^{5}-2q^{9}-3q^{15}+9q^{23}+\cdots$
7744.2.a.o	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$3$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{5}+4q^{7}-2q^{9}-2q^{13}+\cdots$
7744.2.a.p	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$-4$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-4q^{7}-3q^{9}-3q^{13}+3q^{17}+\cdots$
7744.2.a.q	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$2$	$0$	$0$	$-3$	$-4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-4q^{7}-3q^{9}+3q^{13}-3q^{17}+\cdots$
7744.2.a.r	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-3$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+4q^{7}-3q^{9}-3q^{13}+3q^{17}+\cdots$
7744.2.a.s	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$4$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+4q^{7}-3q^{9}+3q^{13}-3q^{17}+\cdots$
7744.2.a.t	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	$\Q(\sqrt{-1}) $	✓	$2$	$0$	$0$	$0$	$-2$	$0$	$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	$q-2q^{5}-3q^{9}-4q^{13}-8q^{17}-q^{25}+\cdots$
7744.2.a.u	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	$\Q(\sqrt{-1}) $	✓	$2$	$0$	$0$	$0$	$-2$	$0$	$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	$q-2q^{5}-3q^{9}+4q^{13}+8q^{17}-q^{25}+\cdots$
7744.2.a.v	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	$\Q(\sqrt{-1}) $	✓	$2$	$1$	$0$	$0$	$2$	$0$	$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	$q+2q^{5}-3q^{9}+6q^{13}-2q^{17}-q^{25}+\cdots$
7744.2.a.w	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$-4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-4q^{7}-2q^{9}-4q^{13}+\cdots$
7744.2.a.x	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+2q^{7}-2q^{9}+4q^{13}+\cdots$
7744.2.a.y	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$4$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+4q^{7}-2q^{9}-2q^{13}+\cdots$
7744.2.a.z	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+4q^{7}-2q^{9}+4q^{13}+\cdots$
7744.2.a.ba	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$3$	$-4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{5}-4q^{7}-2q^{9}-2q^{13}+\cdots$
7744.2.a.bb	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	$\Q(\sqrt{-11}) $	✓	$2$	$1$	$0$	$1$	$3$	$0$	$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	$q+q^{3}+3q^{5}-2q^{9}+3q^{15}-9q^{23}+\cdots$
7744.2.a.bc	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$3$	$2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{5}+2q^{7}-2q^{9}-4q^{13}+\cdots$
7744.2.a.bd	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$-1$	$-2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}-2q^{7}+q^{9}-q^{13}-2q^{15}+\cdots$
7744.2.a.be	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$-1$	$-2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}-2q^{7}+q^{9}+q^{13}-2q^{15}+\cdots$
7744.2.a.bf	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$-1$	$2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}+2q^{7}+q^{9}-q^{13}-2q^{15}+\cdots$
7744.2.a.bg	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$-1$	$2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}+2q^{7}+q^{9}+q^{13}-2q^{15}+\cdots$
7744.2.a.bh	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$0$	$0$	$2$	$3$	$-2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+3q^{5}-2q^{7}+q^{9}+5q^{13}+\cdots$
7744.2.a.bi	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$0$	$0$	$2$	$3$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+3q^{5}+2q^{7}+q^{9}-5q^{13}+\cdots$
7744.2.a.bj	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$1$	$0$	$3$	$-1$	$0$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-q^{5}+6q^{9}-6q^{13}-3q^{15}+\cdots$
7744.2.a.bk	$7744$	$2$	7744.a	1.a	$1$	$1$	$1$	$61.836$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$3$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+3q^{5}+2q^{7}+6q^{9}+9q^{15}+\cdots$
7744.2.a.bl	$7744$	$2$	7744.a	1.a	$1$	$2$	$2$	$61.836$	$\Q(\sqrt{3}) $	None	✓	$2$	$1$	$0$	$-4$	$-6$	$0$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-3q^{5}-2\beta q^{7}+q^{9}-3\beta q^{13}+\cdots$
7744.2.a.bm	$7744$	$2$	7744.a	1.a	$1$	$2$	$2$	$61.836$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$-3$	$-2$	$-4$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{3}+(-2+2\beta )q^{5}-2q^{7}+\cdots$
7744.2.a.bn	$7744$	$2$	7744.a	1.a	$1$	$2$	$2$	$61.836$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$-3$	$-2$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{3}+(-2+2\beta )q^{5}+2q^{7}+\cdots$
7744.2.a.bo	$7744$	$2$	7744.a	1.a	$1$	$2$	$2$	$61.836$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$-3$	$1$	$-1$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{3}+\beta q^{5}+(1-3\beta )q^{7}+\cdots$
7744.2.a.bp	$7744$	$2$	7744.a	1.a	$1$	$2$	$2$	$61.836$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$-3$	$1$	$1$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{3}+\beta q^{5}+(-1+3\beta )q^{7}+\cdots$
7744.2.a.bq	$7744$	$2$	7744.a	1.a	$1$	$2$	$2$	$61.836$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$-2$	$0$	$-6$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+\beta q^{5}+(-3-\beta )q^{7}+\cdots$
7744.2.a.br	$7744$	$2$	7744.a	1.a	$1$	$2$	$2$	$61.836$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$-2$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{3}-\beta q^{5}+(-1-\beta )q^{7}+\cdots$
7744.2.a.bs	$7744$	$2$	7744.a	1.a	$1$	$2$	$2$	$61.836$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$2$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{3}-\beta q^{5}+(1+\beta )q^{7}+(3+\cdots)q^{9}+\cdots$
7744.2.a.bt	$7744$	$2$	7744.a	1.a	$1$	$2$	$2$	$61.836$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$-2$	$0$	$6$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+\beta q^{5}+(3+\beta )q^{7}+(1+\cdots)q^{9}+\cdots$
7744.2.a.bu	$7744$	$2$	7744.a	1.a	$1$	$2$	$2$	$61.836$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$-2$	$4$	$-2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+(2-\beta )q^{5}+(-1+\beta )q^{7}+\cdots$
7744.2.a.bv	$7744$	$2$	7744.a	1.a	$1$	$2$	$2$	$61.836$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$-2$	$4$	$2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+(2-\beta )q^{5}+(1-\beta )q^{7}+\cdots$
7744.2.a.bw	$7744$	$2$	7744.a	1.a	$1$	$2$	$2$	$61.836$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$-1$	$-3$	$0$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+(-2+\beta )q^{5}+(1+\beta )q^{9}+2q^{13}+\cdots$
7744.2.a.bx	$7744$	$2$	7744.a	1.a	$1$	$2$	$2$	$61.836$	$\Q(\sqrt{33}) $	$\Q(\sqrt{-11}) $	✓	$2$	$1$	$0$	$-1$	$-3$	$0$	$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	$q-\beta q^{3}+(-2+\beta )q^{5}+(5+\beta )q^{9}+(-8+\cdots)q^{15}+\cdots$

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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.