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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 80 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	5	43	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9675.2.a.a	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-4q^{7}-q^{11}-5q^{13}+\cdots$
9675.2.a.b	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-3q^{11}+5q^{13}-4q^{16}+\cdots$
9675.2.a.c	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$0$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+2q^{7}-4q^{11}-2q^{13}+\cdots$
9675.2.a.d	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$0$	$4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+4q^{7}+3q^{11}-5q^{13}+\cdots$
9675.2.a.e	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-4q^{7}+3q^{8}-3q^{11}+\cdots$
9675.2.a.f	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$-4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-4q^{7}+3q^{8}+4q^{11}+\cdots$
9675.2.a.g	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{7}+3q^{8}-3q^{11}+\cdots$
9675.2.a.h	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+4q^{7}+3q^{8}-2q^{13}+\cdots$
9675.2.a.i	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-4q^{7}-q^{11}+5q^{13}+4q^{16}+\cdots$
9675.2.a.j	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-2q^{7}-2q^{13}+4q^{16}+3q^{17}+\cdots$
9675.2.a.k	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+2q^{7}+2q^{13}+4q^{16}-3q^{17}+\cdots$
9675.2.a.l	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+2q^{7}+q^{11}+q^{13}+4q^{16}+\cdots$
9675.2.a.m	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+2q^{7}+5q^{11}-3q^{13}+4q^{16}+\cdots$
9675.2.a.n	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+2q^{7}+5q^{11}+5q^{13}+4q^{16}+\cdots$
9675.2.a.o	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+4q^{7}-q^{11}-5q^{13}+4q^{16}+\cdots$
9675.2.a.p	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$-4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-4q^{7}-3q^{8}-4q^{11}+\cdots$
9675.2.a.q	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-4q^{7}-3q^{8}+2q^{11}+\cdots$
9675.2.a.r	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{8}-4q^{11}-6q^{13}+\cdots$
9675.2.a.s	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{8}+2q^{13}-q^{16}+\cdots$
9675.2.a.t	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+3q^{7}-3q^{8}+3q^{11}+\cdots$
9675.2.a.u	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+4q^{7}-3q^{8}-3q^{11}+\cdots$
9675.2.a.v	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+4q^{7}-3q^{8}-2q^{13}+\cdots$
9675.2.a.w	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$0$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-2q^{7}-4q^{11}+2q^{13}+\cdots$
9675.2.a.x	$9675$	$2$	9675.a	1.a	$1$	$1$	$1$	$77.255$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-5q^{11}-q^{13}-4q^{16}+\cdots$
9675.2.a.y	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-2\beta q^{7}+\cdots$
9675.2.a.z	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{3}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$-4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-2q^{7}-3\beta q^{11}-5q^{13}+4q^{16}+\cdots$
9675.2.a.ba	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{7}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-2q^{7}+2\beta q^{11}-2q^{13}+4q^{16}+\cdots$
9675.2.a.bb	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{7}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-2q^{7}+\beta q^{11}+5q^{13}+4q^{16}+\cdots$
9675.2.a.bc	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{7}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+2q^{7}-\beta q^{11}-5q^{13}+4q^{16}+\cdots$
9675.2.a.bd	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{7}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+2q^{7}-2\beta q^{11}+2q^{13}+4q^{16}+\cdots$
9675.2.a.be	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-\beta q^{7}-2\beta q^{8}+(1+\beta )q^{11}+\cdots$
9675.2.a.bf	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(2-\beta )q^{7}-2\beta q^{8}+(1-2\beta )q^{11}+\cdots$
9675.2.a.bg	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{4}+(-1+2\beta )q^{7}-\beta q^{8}+\cdots$
9675.2.a.bh	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{4}+(1+2\beta )q^{7}-\beta q^{8}-\beta q^{11}+\cdots$
9675.2.a.bi	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+4q^{4}+(2-\beta )q^{7}+2\beta q^{8}+\cdots$
9675.2.a.bj	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+4q^{4}+(2+\beta )q^{7}+2\beta q^{8}+\cdots$
9675.2.a.bk	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{7}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+5q^{4}-2q^{7}+3\beta q^{8}+\beta q^{11}+\cdots$
9675.2.a.bl	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{7}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+5q^{4}+2q^{7}+3\beta q^{8}-\beta q^{11}+\cdots$
9675.2.a.bm	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$0$	$0$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(1+2\beta )q^{4}+(-1+2\beta )q^{7}+\cdots$
9675.2.a.bn	$9675$	$2$	9675.a	1.a	$1$	$2$	$2$	$77.255$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$0$	$0$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(1+2\beta )q^{4}-2\beta q^{7}+(3+\cdots)q^{8}+\cdots$
9675.2.a.bo	$9675$	$2$	9675.a	1.a	$1$	$3$	$3$	$77.255$	3.3.148.1	None	✓	$1$	$0$	$-2$	$0$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots$
9675.2.a.bp	$9675$	$2$	9675.a	1.a	$1$	$3$	$3$	$77.255$	3.3.321.1	None	✓	$1$	$1$	$-2$	$0$	$0$	$3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$
9675.2.a.bq	$9675$	$2$	9675.a	1.a	$1$	$3$	$3$	$77.255$	3.3.568.1	None	✓	$1$	$1$	$-2$	$0$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(3+\beta _{2})q^{4}+(-1+\cdots)q^{7}+\cdots$
9675.2.a.br	$9675$	$2$	9675.a	1.a	$1$	$3$	$3$	$77.255$	3.3.169.1	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{7}+\cdots$
9675.2.a.bs	$9675$	$2$	9675.a	1.a	$1$	$3$	$3$	$77.255$	3.3.148.1	None	✓	$1$	$0$	$0$	$0$	$0$	$8$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{2}+(1-\beta _{1}-\beta _{2})q^{4}+(3-\beta _{1}+\cdots)q^{7}+\cdots$
9675.2.a.bt	$9675$	$2$	9675.a	1.a	$1$	$3$	$3$	$77.255$	3.3.169.1	None	✓	$1$	$0$	$1$	$0$	$0$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1}+\beta _{2})q^{2}+(2-2\beta _{1}+\beta _{2})q^{4}+\cdots$
9675.2.a.bu	$9675$	$2$	9675.a	1.a	$1$	$3$	$3$	$77.255$	3.3.316.1	None	✓	$1$	$1$	$1$	$0$	$0$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{1}+\beta _{2})q^{7}+\cdots$
9675.2.a.bv	$9675$	$2$	9675.a	1.a	$1$	$4$	$4$	$77.255$	$\Q(\sqrt{5}, \sqrt{13})$	None	✓	$2$	$1$	$0$	$0$	$0$	$2$	$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+(\beta _{1}+\beta _{3})q^{2}+3q^{4}-\beta _{2}q^{7}+(\beta _{1}+\cdots)q^{8}+\cdots$
9675.2.a.bw	$9675$	$2$	9675.a	1.a	$1$	$5$	$5$	$77.255$	5.5.135076.1	None	✓	$1$	$0$	$-4$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1+\beta _{3})q^{2}+(3-\beta _{1}+\beta _{2}+\beta _{4})q^{4}+\cdots$
9675.2.a.bx	$9675$	$2$	9675.a	1.a	$1$	$5$	$5$	$77.255$	5.5.230224.1	None	✓	$1$	$1$	$-3$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots$

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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.