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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 52 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	7	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7245.2.a.a	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$1$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{5}-q^{7}-2q^{10}+\cdots$
7245.2.a.b	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$0$	$-2$	$0$	$1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{5}-q^{7}-2q^{10}+\cdots$
7245.2.a.c	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{5}-q^{7}-2q^{10}+\cdots$
7245.2.a.d	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$0$	$-2$	$0$	$1$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{5}-q^{7}-2q^{10}+\cdots$
7245.2.a.e	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}-q^{7}+3q^{8}+q^{10}+\cdots$
7245.2.a.f	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}-q^{7}+3q^{8}+q^{10}+\cdots$
7245.2.a.g	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}-q^{7}+3q^{8}+q^{10}+\cdots$
7245.2.a.h	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+q^{5}+q^{7}+3q^{8}-q^{10}+\cdots$
7245.2.a.i	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{5}-q^{7}-q^{11}+4q^{16}+\cdots$
7245.2.a.j	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{5}+q^{7}-3q^{11}-4q^{13}+\cdots$
7245.2.a.k	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{5}+q^{7}+3q^{11}+4q^{16}+\cdots$
7245.2.a.l	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-q^{5}-q^{7}-3q^{8}-q^{10}+\cdots$
7245.2.a.m	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-1$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-q^{5}+q^{7}-3q^{8}-q^{10}+\cdots$
7245.2.a.n	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}-q^{7}-3q^{8}+q^{10}+\cdots$
7245.2.a.o	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}-q^{7}-3q^{8}+q^{10}+\cdots$
7245.2.a.p	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}-q^{7}-3q^{8}+q^{10}+\cdots$
7245.2.a.q	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}-q^{7}-3q^{8}+q^{10}+\cdots$
7245.2.a.r	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}-q^{7}-3q^{8}+q^{10}+\cdots$
7245.2.a.s	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}+q^{7}-3q^{8}+q^{10}+\cdots$
7245.2.a.t	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$-1$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{5}-q^{7}-2q^{10}+\cdots$
7245.2.a.u	$7245$	$2$	7245.a	1.a	$1$	$1$	$1$	$57.852$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{5}-q^{7}-2q^{10}+\cdots$
7245.2.a.v	$7245$	$2$	7245.a	1.a	$1$	$2$	$2$	$57.852$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-3$	$0$	$2$	$-2$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{2}+3\beta q^{4}+q^{5}-q^{7}+\cdots$
7245.2.a.w	$7245$	$2$	7245.a	1.a	$1$	$2$	$2$	$57.852$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$0$	$2$	$-2$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{4}+q^{5}-q^{7}-\beta q^{8}+\beta q^{10}+\cdots$
7245.2.a.x	$7245$	$2$	7245.a	1.a	$1$	$2$	$2$	$57.852$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$0$	$2$	$2$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{4}+q^{5}+q^{7}-\beta q^{8}+\beta q^{10}+\cdots$
7245.2.a.y	$7245$	$2$	7245.a	1.a	$1$	$3$	$3$	$57.852$	3.3.148.1	None	✓	$1$	$0$	$-1$	$0$	$-3$	$-3$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}-q^{5}-q^{7}+\cdots$
7245.2.a.z	$7245$	$2$	7245.a	1.a	$1$	$3$	$3$	$57.852$	3.3.148.1	None	✓	$1$	$0$	$1$	$0$	$-3$	$3$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}-q^{5}+q^{7}+\cdots$
7245.2.a.ba	$7245$	$2$	7245.a	1.a	$1$	$3$	$3$	$57.852$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$2$	$0$	$3$	$-3$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots$
7245.2.a.bb	$7245$	$2$	7245.a	1.a	$1$	$3$	$3$	$57.852$	3.3.148.1	None	✓	$1$	$0$	$3$	$0$	$3$	$3$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots$
7245.2.a.bc	$7245$	$2$	7245.a	1.a	$1$	$4$	$4$	$57.852$	4.4.2777.1	None	✓	$1$	$1$	$-3$	$0$	$-4$	$-4$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots$
7245.2.a.bd	$7245$	$2$	7245.a	1.a	$1$	$4$	$4$	$57.852$	4.4.7537.1	None	✓	$1$	$1$	$-1$	$0$	$4$	$4$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+q^{7}-\beta _{3}q^{8}+\cdots$
7245.2.a.be	$7245$	$2$	7245.a	1.a	$1$	$4$	$4$	$57.852$	4.4.22545.1	None	✓	$1$	$1$	$1$	$0$	$4$	$-4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{2}+(3+\beta _{3})q^{4}+q^{5}-q^{7}+(-1+\cdots)q^{8}+\cdots$
7245.2.a.bf	$7245$	$2$	7245.a	1.a	$1$	$4$	$4$	$57.852$	4.4.2777.1	None	✓	$1$	$0$	$2$	$0$	$-4$	$4$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{3})q^{2}+(1-\beta _{2}-\beta _{3})q^{4}-q^{5}+\cdots$
7245.2.a.bg	$7245$	$2$	7245.a	1.a	$1$	$5$	$5$	$57.852$	5.5.2508628.1	None	✓	$1$	$0$	$0$	$0$	$5$	$-5$	$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$
7245.2.a.bh	$7245$	$2$	7245.a	1.a	$1$	$5$	$5$	$57.852$	5.5.255877.1	None	✓	$1$	$0$	$1$	$0$	$5$	$5$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+q^{7}+(-1+\cdots)q^{8}+\cdots$
7245.2.a.bi	$7245$	$2$	7245.a	1.a	$1$	$5$	$5$	$57.852$	5.5.122821.1	None	✓	$1$	$0$	$3$	$0$	$-5$	$-5$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(\beta _{3}+\beta _{4})q^{4}-q^{5}-q^{7}+\cdots$
7245.2.a.bj	$7245$	$2$	7245.a	1.a	$1$	$6$	$6$	$57.852$	6.6.15751800.1	None	✓	$1$	$1$	$-3$	$0$	$6$	$6$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}+(\beta _{2}+\beta _{5})q^{4}+q^{5}+q^{7}+\cdots$
7245.2.a.bk	$7245$	$2$	7245.a	1.a	$1$	$6$	$6$	$57.852$	6.6.42978136.1	None	✓	$1$	$1$	$-1$	$0$	$6$	$-6$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}-q^{7}+(-\beta _{1}+\cdots)q^{8}+\cdots$
7245.2.a.bl	$7245$	$2$	7245.a	1.a	$1$	$7$	$7$	$57.852$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	$1$	$0$	$-2$	$0$	$7$	$7$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+q^{7}+(-2\beta _{1}+\cdots)q^{8}+\cdots$
7245.2.a.bm	$7245$	$2$	7245.a	1.a	$1$	$7$	$7$	$57.852$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	$1$	$1$	$1$	$0$	$-7$	$-7$	$-$	$+$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}-q^{7}+(\beta _{1}+\cdots)q^{8}+\cdots$
7245.2.a.bn	$7245$	$2$	7245.a	1.a	$1$	$7$	$7$	$57.852$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	$1$	$0$	$2$	$0$	$7$	$-7$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$
7245.2.a.bo	$7245$	$2$	7245.a	1.a	$1$	$8$	$8$	$57.852$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$1$	$-1$	$0$	$8$	$-8$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+q^{5}-q^{7}+\cdots$
7245.2.a.bp	$7245$	$2$	7245.a	1.a	$1$	$8$	$8$	$57.852$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$1$	$-1$	$0$	$-8$	$8$	$-$	$+$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+q^{7}+(-\beta _{1}+\cdots)q^{8}+\cdots$
7245.2.a.bq	$7245$	$2$	7245.a	1.a	$1$	$8$	$8$	$57.852$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$1$	$1$	$0$	$-8$	$-8$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}-q^{5}-q^{7}+\cdots$
7245.2.a.br	$7245$	$2$	7245.a	1.a	$1$	$9$	$9$	$57.852$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$1$	$-1$	$0$	$9$	$9$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+q^{7}-\beta _{3}q^{8}+\cdots$
7245.2.a.bs	$7245$	$2$	7245.a	1.a	$1$	$9$	$9$	$57.852$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$1$	$-1$	$0$	$-9$	$9$	$-$	$+$	$-$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+q^{7}+(-2\beta _{1}+\cdots)q^{8}+\cdots$
7245.2.a.bt	$7245$	$2$	7245.a	1.a	$1$	$9$	$9$	$57.852$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$1$	$1$	$0$	$-9$	$9$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+q^{7}+\beta _{3}q^{8}+\cdots$
7245.2.a.bu	$7245$	$2$	7245.a	1.a	$1$	$10$	$10$	$57.852$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$-2$	$0$	$-10$	$-10$	$-$	$+$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}-q^{7}+(-2\beta _{1}+\cdots)q^{8}+\cdots$
7245.2.a.bv	$7245$	$2$	7245.a	1.a	$1$	$10$	$10$	$57.852$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$-2$	$0$	$-10$	$10$	$-$	$+$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}+q^{7}+(-1+\cdots)q^{8}+\cdots$
7245.2.a.bw	$7245$	$2$	7245.a	1.a	$1$	$10$	$10$	$57.852$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$-1$	$0$	$-10$	$-10$	$+$	$+$	$+$	$-$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}-q^{7}+(-1+\cdots)q^{8}+\cdots$
7245.2.a.bx	$7245$	$2$	7245.a	1.a	$1$	$10$	$10$	$57.852$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$1$	$0$	$10$	$-10$	$+$	$-$	$+$	$+$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$

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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.