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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 67 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	3	7	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9576.2.a.a	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-4$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}-q^{7}+2q^{11}+2q^{13}+q^{19}+\cdots$
9576.2.a.b	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-2$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}-6q^{11}-2q^{13}+8q^{17}+\cdots$
9576.2.a.c	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$2$	$0$	$0$	$-2$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}-4q^{11}-6q^{13}-6q^{17}+\cdots$
9576.2.a.d	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-2$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}+2q^{11}-4q^{13}+4q^{17}+\cdots$
9576.2.a.e	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}+4q^{11}-6q^{13}-2q^{17}+\cdots$
9576.2.a.f	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}+6q^{11}-2q^{13}+q^{19}+\cdots$
9576.2.a.g	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-2$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}-2q^{11}+2q^{13}+2q^{17}+\cdots$
9576.2.a.h	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-2$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}+6q^{11}-4q^{17}-q^{19}+\cdots$
9576.2.a.i	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-6q^{11}+4q^{13}-q^{19}+2q^{23}+\cdots$
9576.2.a.j	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-2q^{13}+q^{19}-4q^{23}-5q^{25}+\cdots$
9576.2.a.k	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-4q^{11}+2q^{13}+2q^{17}+q^{19}+\cdots$
9576.2.a.l	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-2q^{11}-4q^{13}+q^{19}+6q^{23}+\cdots$
9576.2.a.m	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-2q^{11}+6q^{13}-q^{19}-6q^{23}+\cdots$
9576.2.a.n	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-2q^{13}+8q^{17}-q^{19}+4q^{23}+\cdots$
9576.2.a.o	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+2q^{11}+6q^{13}-q^{19}+6q^{23}+\cdots$
9576.2.a.p	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+4q^{11}+2q^{13}-2q^{17}+q^{19}+\cdots$
9576.2.a.q	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+4q^{11}+2q^{13}+q^{19}-5q^{25}+\cdots$
9576.2.a.r	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{7}-2q^{11}-4q^{13}-4q^{17}+\cdots$
9576.2.a.s	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{7}-2q^{13}-2q^{17}+q^{19}+\cdots$
9576.2.a.t	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{7}+4q^{11}+2q^{13}+6q^{17}+\cdots$
9576.2.a.u	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}-6q^{11}+4q^{17}-q^{19}+\cdots$
9576.2.a.v	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$2$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}-2q^{13}-6q^{17}-q^{19}+\cdots$
9576.2.a.w	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}+2q^{11}+2q^{13}-2q^{17}+\cdots$
9576.2.a.x	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}+4q^{11}+2q^{13}-2q^{17}+\cdots$
9576.2.a.y	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}-q^{7}-4q^{11}+2q^{13}+4q^{17}+\cdots$
9576.2.a.z	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}-q^{7}-2q^{11}+2q^{13}+q^{19}+\cdots$
9576.2.a.ba	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$4$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}-q^{7}-2q^{13}-4q^{17}+q^{19}+\cdots$
9576.2.a.bb	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}+q^{7}-2q^{11}-4q^{13}-4q^{17}+\cdots$
9576.2.a.bc	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$-5$	$2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-2-\beta )q^{5}+q^{7}+(1+3\beta )q^{11}+\cdots$
9576.2.a.bd	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$-4$	$-2$	$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}+2q^{11}+(1+\beta )q^{13}+\cdots$
9576.2.a.be	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$-2$	$+$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}-q^{7}+2\beta q^{11}+2\beta q^{13}+\cdots$
9576.2.a.bf	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$-2$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{5}-q^{7}+2\beta q^{11}+4q^{13}+\cdots$
9576.2.a.bg	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$-2$	$+$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}-q^{7}+(3-\beta )q^{11}+(-3+\cdots)q^{13}+\cdots$
9576.2.a.bh	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{7}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$2$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{5}+q^{7}-2q^{11}-4q^{13}+\cdots$
9576.2.a.bi	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$2$	$-$	$+$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}+q^{7}-2q^{11}+2\beta q^{13}+\cdots$
9576.2.a.bj	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{5}+q^{7}+(-2+2\beta )q^{13}+\cdots$
9576.2.a.bk	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$-$	$-$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}-q^{7}-2q^{13}-\beta q^{17}-q^{19}+\cdots$
9576.2.a.bl	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}+q^{7}-2q^{11}+(2-\beta )q^{13}+\cdots$
9576.2.a.bm	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-2\beta )q^{5}+q^{7}+(-1+3\beta )q^{11}+\cdots$
9576.2.a.bn	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-2\beta )q^{5}+q^{7}+(-1+3\beta )q^{11}+\cdots$
9576.2.a.bo	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}+q^{7}+2q^{11}+(2+\beta )q^{13}+\cdots$
9576.2.a.bp	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$2$	$-2$	$-$	$+$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}-q^{7}+(-3+\beta )q^{11}+(-3+\cdots)q^{13}+\cdots$
9576.2.a.bq	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$2$	$-2$	$-$	$+$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}-q^{7}-2\beta q^{11}+2\beta q^{13}+\cdots$
9576.2.a.br	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$-2$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}-q^{7}+2\beta q^{11}+4q^{13}+\cdots$
9576.2.a.bs	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$0$	$0$	$2$	$-2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{7}+\beta q^{11}+(1-2\beta )q^{13}+\cdots$
9576.2.a.bt	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$2$	$-2$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{7}+(-1+3\beta )q^{11}+(3-4\beta )q^{13}+\cdots$
9576.2.a.bu	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{7}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+q^{7}+2q^{11}-4q^{13}+\cdots$
9576.2.a.bv	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+q^{7}+2q^{11}+2\beta q^{13}+\cdots$
9576.2.a.bw	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+q^{7}+4q^{11}+(2+2\beta )q^{13}+\cdots$
9576.2.a.bx	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$0$	$4$	$-2$	$+$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{7}-2q^{11}+(1+\beta )q^{13}+\cdots$

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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.