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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad $p$	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (1-50 of 116 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2646.2.a.a	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				54.2.a.a	$1$	$0$	$-1$	$0$	$-3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}-3q^{11}+\cdots$
2646.2.a.b	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.g.a	$1$	$0$	$-1$	$0$	$-3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}-4q^{13}+\cdots$
2646.2.a.c	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.g.c	$1$	$0$	$-1$	$0$	$-2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}-5q^{11}+\cdots$
2646.2.a.d	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓	✓			2646.2.a.d	$1$	$0$	$-1$	$0$	$-2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}+2q^{11}+\cdots$
2646.2.a.e	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓	✓			2646.2.a.e	$1$	$1$	$-1$	$0$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-q^{11}+\cdots$
2646.2.a.f	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.a.d	$1$	$1$	$-1$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}-5q^{13}+q^{16}+3q^{17}+\cdots$
2646.2.a.g	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.g.b	$1$	$0$	$-1$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}+6q^{11}-5q^{13}+\cdots$
2646.2.a.h	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.g.b	$1$	$0$	$-1$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}+6q^{11}+5q^{13}+\cdots$
2646.2.a.i	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.a.c	$1$	$1$	$-1$	$0$	$1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-5q^{11}+\cdots$
2646.2.a.j	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓	✓			2646.2.a.e	$1$	$0$	$-1$	$0$	$1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-q^{11}+\cdots$
2646.2.a.k	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.g.c	$1$	$0$	$-1$	$0$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}-5q^{11}+\cdots$
2646.2.a.l	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓	✓			2646.2.a.d	$1$	$1$	$-1$	$0$	$2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+2q^{11}+\cdots$
2646.2.a.m	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.g.a	$1$	$0$	$-1$	$0$	$3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+4q^{13}+\cdots$
2646.2.a.n	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.a.b	$1$	$0$	$-1$	$0$	$3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+3q^{11}+\cdots$
2646.2.a.o	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.a.a	$1$	$0$	$-1$	$0$	$4$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+4q^{5}-q^{8}-4q^{10}+4q^{11}+\cdots$
2646.2.a.p	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.a.a	$1$	$0$	$1$	$0$	$-4$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-4q^{5}+q^{8}-4q^{10}-4q^{11}+\cdots$
2646.2.a.q	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.a.b	$1$	$1$	$1$	$0$	$-3$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}-3q^{11}+\cdots$
2646.2.a.r	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.g.a	$1$	$0$	$1$	$0$	$-3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}+4q^{13}+\cdots$
2646.2.a.s	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓	✓			2646.2.a.d	$1$	$1$	$1$	$0$	$-2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}-2q^{11}+\cdots$
2646.2.a.t	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.g.c	$1$	$0$	$1$	$0$	$-2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}+5q^{11}+\cdots$
2646.2.a.u	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓	✓			2646.2.a.e	$1$	$1$	$1$	$0$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+q^{11}+\cdots$
2646.2.a.v	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.a.c	$1$	$0$	$1$	$0$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+5q^{11}+\cdots$
2646.2.a.w	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.g.b	$1$	$1$	$1$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{8}-6q^{11}-5q^{13}+\cdots$
2646.2.a.x	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.g.b	$1$	$1$	$1$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{8}-6q^{11}+5q^{13}+\cdots$
2646.2.a.y	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.a.d	$1$	$1$	$1$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{8}-5q^{13}+q^{16}-3q^{17}+\cdots$
2646.2.a.z	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓	✓			2646.2.a.e	$1$	$0$	$1$	$0$	$1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+q^{11}+\cdots$
2646.2.a.ba	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓	✓			2646.2.a.d	$1$	$0$	$1$	$0$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{5}+q^{8}+2q^{10}-2q^{11}+\cdots$
2646.2.a.bb	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.g.c	$1$	$0$	$1$	$0$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{5}+q^{8}+2q^{10}+5q^{11}+\cdots$
2646.2.a.bc	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				378.2.g.a	$1$	$0$	$1$	$0$	$3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}-4q^{13}+\cdots$
2646.2.a.bd	$2646$	$2$	2646.a	1.a	$1$	$1$	$1$	$21.128$	$\Q$	None	✓				54.2.a.a	$1$	$0$	$1$	$0$	$3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}+3q^{11}+\cdots$
2646.2.a.be	$2646$	$2$	2646.a	1.a	$1$	$2$	$2$	$21.128$	$\Q(\sqrt{2}) $	None	✓	✓			2646.2.a.be	$1$	$1$	$-2$	$0$	$-6$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-3+\beta )q^{5}-q^{8}+(3+\cdots)q^{10}+\cdots$
2646.2.a.bf	$2646$	$2$	2646.a	1.a	$1$	$2$	$2$	$21.128$	$\Q(\sqrt{7}) $	None	✓		✓		378.2.g.g	$1$	$1$	$-2$	$0$	$-2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-1+\beta )q^{5}-q^{8}+(1+\cdots)q^{10}+\cdots$
2646.2.a.bg	$2646$	$2$	2646.a	1.a	$1$	$2$	$2$	$21.128$	$\Q(\sqrt{2}) $	None	✓	✓			2646.2.a.bg	$1$	$1$	$-2$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+(2+\cdots)q^{11}+\cdots$
2646.2.a.bh	$2646$	$2$	2646.a	1.a	$1$	$2$	$2$	$21.128$	$\Q(\sqrt{2}) $	None	✓	✓			2646.2.a.bg	$1$	$0$	$-2$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+(2+\cdots)q^{11}+\cdots$
2646.2.a.bi	$2646$	$2$	2646.a	1.a	$1$	$2$	$2$	$21.128$	$\Q(\sqrt{7}) $	None	✓				378.2.g.g	$1$	$1$	$-2$	$0$	$2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(1+\beta )q^{5}-q^{8}+(-1+\cdots)q^{10}+\cdots$
2646.2.a.bj	$2646$	$2$	2646.a	1.a	$1$	$2$	$2$	$21.128$	$\Q(\sqrt{2}) $	None	✓	✓			2646.2.a.be	$1$	$0$	$-2$	$0$	$6$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(3+\beta )q^{5}-q^{8}+(-3+\cdots)q^{10}+\cdots$
2646.2.a.bk	$2646$	$2$	2646.a	1.a	$1$	$2$	$2$	$21.128$	$\Q(\sqrt{2}) $	None	✓	✓			2646.2.a.be	$1$	$1$	$2$	$0$	$-6$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-3+\beta )q^{5}+q^{8}+(-3+\cdots)q^{10}+\cdots$
2646.2.a.bl	$2646$	$2$	2646.a	1.a	$1$	$2$	$2$	$21.128$	$\Q(\sqrt{7}) $	None	✓				378.2.g.g	$1$	$0$	$2$	$0$	$-2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1+\beta )q^{5}+q^{8}+(-1+\cdots)q^{10}+\cdots$
2646.2.a.bm	$2646$	$2$	2646.a	1.a	$1$	$2$	$2$	$21.128$	$\Q(\sqrt{2}) $	None	✓	✓			2646.2.a.bg	$1$	$1$	$2$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta q^{5}+q^{8}+\beta q^{10}+(-2+\cdots)q^{11}+\cdots$
2646.2.a.bn	$2646$	$2$	2646.a	1.a	$1$	$2$	$2$	$21.128$	$\Q(\sqrt{2}) $	None	✓	✓			2646.2.a.bg	$1$	$0$	$2$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta q^{5}+q^{8}+\beta q^{10}+(-2+\cdots)q^{11}+\cdots$
2646.2.a.bo	$2646$	$2$	2646.a	1.a	$1$	$2$	$2$	$21.128$	$\Q(\sqrt{7}) $	None	✓		✓		378.2.g.g	$1$	$0$	$2$	$0$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(1+\beta )q^{5}+q^{8}+(1+\beta )q^{10}+\cdots$
2646.2.a.bp	$2646$	$2$	2646.a	1.a	$1$	$2$	$2$	$21.128$	$\Q(\sqrt{2}) $	None	✓	✓			2646.2.a.be	$1$	$0$	$2$	$0$	$6$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(3+\beta )q^{5}+q^{8}+(3+\beta )q^{10}+\cdots$
2646.2.d.a	$2646$	$2$	2646.d	21.c	$2$	$4$	$4$	$21.128$	$\Q(\zeta_{12})$	None					378.2.k.c	$4$	$0$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta_1 q^{2}-q^{4}+\beta_{3} q^{5}-\beta_1 q^{8}+\cdots$
2646.2.d.b	$2646$	$2$	2646.d	21.c	$2$	$4$	$4$	$21.128$	$\Q(\zeta_{12})$	None					378.2.k.b	$4$	$0$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta_1 q^{2}-q^{4}-2\beta_{3} q^{5}+\beta_1 q^{8}+\cdots$
2646.2.d.c	$2646$	$2$	2646.d	21.c	$2$	$4$	$4$	$21.128$	$\Q(\zeta_{12})$	None					378.2.k.a	$4$	$0$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta_1 q^{2}-q^{4}+\beta_1 q^{8}+3\beta_1 q^{11}+\cdots$
2646.2.d.d	$2646$	$2$	2646.d	21.c	$2$	$8$	$8$	$21.128$	$\Q(\zeta_{24})$	None					378.2.k.d	$4$	$0$	$0$	$0$	$0$	$0$		$2^{6}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta_1 q^{2}-q^{4}+\beta_{4} q^{5}-\beta_1 q^{8}+\cdots$
2646.2.d.e	$2646$	$2$	2646.d	21.c	$2$	$16$	$16$	$21.128$	$\Q(\zeta_{48})$	None		✓			2646.2.d.e	$4$	$0$	$0$	$0$	$0$	$0$		$2^{14}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta_1 q^{2}-q^{4}+(\beta_{12}+\beta_{9})q^{5}+\beta_1 q^{8}+\cdots$
2646.2.d.f	$2646$	$2$	2646.d	21.c	$2$	$16$	$16$	$21.128$	$\Q(\zeta_{48})$	None		✓			2646.2.d.f	$4$	$0$	$0$	$0$	$0$	$0$		$2^{14}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta_1 q^{2}-q^{4}+(-\beta_{8}-\beta_{5})q^{5}+\cdots$
2646.2.e.a	$2646$	$2$	2646.e	63.h	$3$	$2$	$1$	$21.128$	$\Q(\sqrt{-3}) $	None					882.2.f.b	$2$	$0$	$-2$	$0$	$-1$	$0$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+q^{4}+(-1+\zeta_{6})q^{5}-q^{8}+(1+\cdots)q^{10}+\cdots$
2646.2.e.b	$2646$	$2$	2646.e	63.h	$3$	$2$	$1$	$21.128$	$\Q(\sqrt{-3}) $	None					18.2.c.a	$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+q^{4}-q^{8}-3\zeta_{6}q^{11}-2\zeta_{6}q^{13}+\cdots$

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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.