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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 62 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
2610.2.a.a	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓				870.2.a.f	$1$	$1$	$-1$	$0$	$-1$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots$
2610.2.a.b	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓				870.2.a.h	$1$	$1$	$-1$	$0$	$-1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots$
2610.2.a.c	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓	✓	✓	✓	2610.2.a.c	$1$	$0$	$-1$	$0$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+4q^{11}+\cdots$
2610.2.a.d	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓				870.2.a.i	$1$	$1$	$-1$	$0$	$-1$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+2q^{7}-q^{8}+q^{10}+\cdots$
2610.2.a.e	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓				870.2.a.g	$1$	$0$	$-1$	$0$	$-1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+4q^{7}-q^{8}+q^{10}+\cdots$
2610.2.a.f	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓				870.2.a.e	$1$	$1$	$-1$	$0$	$1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-2q^{7}-q^{8}-q^{10}+\cdots$
2610.2.a.g	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓	✓	✓	✓	2610.2.a.g	$1$	$0$	$-1$	$0$	$1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-2q^{7}-q^{8}-q^{10}+\cdots$
2610.2.a.h	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓				870.2.a.c	$1$	$0$	$1$	$0$	$-1$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots$
2610.2.a.i	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓	✓	✓	✓	2610.2.a.g	$1$	$1$	$1$	$0$	$-1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots$
2610.2.a.j	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓				870.2.a.a	$1$	$1$	$1$	$0$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-6q^{13}+\cdots$
2610.2.a.k	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓				870.2.a.d	$1$	$1$	$1$	$0$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-2q^{13}+\cdots$
2610.2.a.l	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓		✓	✓	290.2.a.a	$1$	$1$	$1$	$0$	$1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots$
2610.2.a.m	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓	✓	✓	✓	2610.2.a.c	$1$	$1$	$1$	$0$	$1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}-4q^{11}+\cdots$
2610.2.a.n	$2610$	$2$	2610.a	1.a	$1$	$1$	$1$	$20.841$	$\Q$	None	✓				870.2.a.b	$1$	$0$	$1$	$0$	$1$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots$
2610.2.a.o	$2610$	$2$	2610.a	1.a	$1$	$2$	$2$	$20.841$	$\Q(\sqrt{3}) $	None	✓	✓	✓	✓	2610.2.a.o	$1$	$1$	$-2$	$0$	$2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+(-1+\beta )q^{7}-q^{8}+\cdots$
2610.2.a.p	$2610$	$2$	2610.a	1.a	$1$	$2$	$2$	$20.841$	$\Q(\sqrt{2}) $	None	✓				870.2.a.l	$1$	$0$	$-2$	$0$	$2$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+\beta q^{7}-q^{8}-q^{10}+\cdots$
2610.2.a.q	$2610$	$2$	2610.a	1.a	$1$	$2$	$2$	$20.841$	$\Q(\sqrt{5}) $	None	✓		✓		870.2.a.m	$1$	$1$	$-2$	$0$	$2$	$2$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+(1+\beta )q^{7}-q^{8}+\cdots$
2610.2.a.r	$2610$	$2$	2610.a	1.a	$1$	$2$	$2$	$20.841$	$\Q(\sqrt{3}) $	None	✓	✓	✓	✓	2610.2.a.o	$1$	$0$	$2$	$0$	$-2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+(-1+\beta )q^{7}+q^{8}+\cdots$
2610.2.a.s	$2610$	$2$	2610.a	1.a	$1$	$2$	$2$	$20.841$	$\Q(\sqrt{13}) $	None	✓				290.2.a.c	$1$	$0$	$2$	$0$	$-2$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+(1+\beta )q^{7}+q^{8}+\cdots$
2610.2.a.t	$2610$	$2$	2610.a	1.a	$1$	$2$	$2$	$20.841$	$\Q(\sqrt{2}) $	None	✓				870.2.a.k	$1$	$0$	$2$	$0$	$-2$	$4$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+(2+\beta )q^{7}+q^{8}+\cdots$
2610.2.a.u	$2610$	$2$	2610.a	1.a	$1$	$2$	$2$	$20.841$	$\Q(\sqrt{13}) $	None	✓				870.2.a.j	$1$	$0$	$2$	$0$	$2$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+(-1-\beta )q^{7}+q^{8}+\cdots$
2610.2.a.v	$2610$	$2$	2610.a	1.a	$1$	$2$	$2$	$20.841$	$\Q(\sqrt{13}) $	None	✓				290.2.a.b	$1$	$0$	$2$	$0$	$2$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+(3-\beta )q^{7}+q^{8}+\cdots$
2610.2.a.w	$2610$	$2$	2610.a	1.a	$1$	$3$	$3$	$20.841$	3.3.469.1	None	✓		✓		290.2.a.d	$1$	$0$	$-3$	$0$	$-3$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-\beta _{1}q^{7}-q^{8}+q^{10}+\cdots$
2610.2.a.x	$2610$	$2$	2610.a	1.a	$1$	$3$	$3$	$20.841$	3.3.621.1	None	✓		✓		290.2.a.e	$1$	$0$	$-3$	$0$	$3$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+(1+\beta _{1}-\beta _{2})q^{7}+\cdots$
2610.2.a.y	$2610$	$2$	2610.a	1.a	$1$	$4$	$4$	$20.841$	4.4.27004.1	None	✓	✓	✓	✓	2610.2.a.y	$1$	$1$	$-4$	$0$	$-4$	$0$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+\beta _{2}q^{7}-q^{8}+q^{10}+\cdots$
2610.2.a.z	$2610$	$2$	2610.a	1.a	$1$	$4$	$4$	$20.841$	4.4.27004.1	None	✓	✓	✓	✓	2610.2.a.y	$1$	$0$	$4$	$0$	$4$	$0$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+\beta _{2}q^{7}+q^{8}+q^{10}+\cdots$
2610.2.b.a	$2610$	$2$	2610.b	145.d	$2$	$6$	$6$	$20.841$	6.0.16516096.1	None					870.2.b.a	$2$	$0$	$-6$	$0$	$-1$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+\beta _{3}q^{5}+\beta _{1}q^{7}-q^{8}+\cdots$
2610.2.b.b	$2610$	$2$	2610.b	145.d	$2$	$6$	$6$	$20.841$	6.0.16516096.1	None					870.2.b.a	$2$	$0$	$6$	$0$	$-1$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta _{3}q^{5}+\beta _{1}q^{7}+q^{8}+\cdots$
2610.2.b.c	$2610$	$2$	2610.b	145.d	$2$	$8$	$8$	$20.841$	8.0.$\cdots$.1	None					870.2.b.c	$2$	$0$	$-8$	$0$	$-1$	$0$		$2^{5}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+\beta _{1}q^{5}+\beta _{6}q^{7}-q^{8}+\cdots$
2610.2.b.d	$2610$	$2$	2610.b	145.d	$2$	$8$	$8$	$20.841$	8.0.$\cdots$.1	None					290.2.d.a	$2$	$0$	$-8$	$0$	$1$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+\beta _{7}q^{5}+(\beta _{4}+\beta _{5})q^{7}+\cdots$
2610.2.b.e	$2610$	$2$	2610.b	145.d	$2$	$8$	$8$	$20.841$	8.0.$\cdots$.1	None					870.2.b.c	$2$	$0$	$8$	$0$	$-1$	$0$		$2^{5}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta _{1}q^{5}+\beta _{6}q^{7}+q^{8}+\cdots$
2610.2.b.f	$2610$	$2$	2610.b	145.d	$2$	$8$	$8$	$20.841$	8.0.$\cdots$.1	None					290.2.d.a	$2$	$0$	$8$	$0$	$1$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta _{7}q^{5}+(\beta _{4}+\beta _{5})q^{7}+\cdots$
2610.2.b.g	$2610$	$2$	2610.b	145.d	$2$	$16$	$16$	$20.841$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	None		✓			2610.2.b.g	$4$	$0$	$-16$	$0$	$0$	$0$		$2^{11}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}-\beta _{9}q^{5}-\beta _{3}q^{7}-q^{8}+\cdots$
2610.2.b.h	$2610$	$2$	2610.b	145.d	$2$	$16$	$16$	$20.841$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	None		✓			2610.2.b.g	$4$	$0$	$16$	$0$	$0$	$0$		$2^{11}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}-\beta _{9}q^{5}-\beta _{3}q^{7}+q^{8}+\cdots$
2610.2.e.a	$2610$	$2$	2610.e	5.b	$2$	$2$	$2$	$20.841$	$\Q(\sqrt{-1}) $	None					870.2.e.b	$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+i q^{2}-q^{4}+(2 i-1)q^{5}+2 i q^{7}+\cdots$
2610.2.e.b	$2610$	$2$	2610.e	5.b	$2$	$2$	$2$	$20.841$	$\Q(\sqrt{-1}) $	None					870.2.e.d	$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-i q^{2}-q^{4}+(2 i-1)q^{5}+4 i q^{7}+\cdots$
2610.2.e.c	$2610$	$2$	2610.e	5.b	$2$	$2$	$2$	$20.841$	$\Q(\sqrt{-1}) $	None					870.2.e.c	$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+i q^{2}-q^{4}+(-2 i-1)q^{5}+2 i q^{7}+\cdots$
2610.2.e.d	$2610$	$2$	2610.e	5.b	$2$	$2$	$2$	$20.841$	$\Q(\sqrt{-1}) $	None					870.2.e.a	$2$	$0$	$0$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-i q^{2}-q^{4}+(-2 i+1)q^{5}+4 i q^{7}+\cdots$
2610.2.e.e	$2610$	$2$	2610.e	5.b	$2$	$4$	$4$	$20.841$	$\Q(i, \sqrt{5})$	None					290.2.b.a	$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{3}q^{2}-q^{4}+(-2\beta _{1}-\beta _{3})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots$
2610.2.e.f	$2610$	$2$	2610.e	5.b	$2$	$4$	$4$	$20.841$	$\Q(i, \sqrt{5})$	None					870.2.e.e	$2$	$0$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}-q^{4}+\beta _{3}q^{5}+(-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$
2610.2.e.g	$2610$	$2$	2610.e	5.b	$2$	$6$	$6$	$20.841$	6.0.3534400.1	None					870.2.e.f	$2$	$0$	$0$	$0$	$-4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{5}q^{2}-q^{4}+(-1-\beta _{2}-\beta _{4})q^{5}+\cdots$
2610.2.e.h	$2610$	$2$	2610.e	5.b	$2$	$10$	$10$	$20.841$	10.0.$\cdots$.1	None					870.2.e.g	$2$	$0$	$0$	$0$	$0$	$0$		$2^{5}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}-q^{4}-\beta _{5}q^{5}+(-\beta _{3}-\beta _{4}+\cdots)q^{7}+\cdots$
2610.2.e.i	$2610$	$2$	2610.e	5.b	$2$	$10$	$10$	$20.841$	$\mathbb{Q}[x]/(x^{10} + \cdots)$	None					290.2.b.b	$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{5}q^{2}-q^{4}-\beta _{2}q^{5}+(-\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$
2610.2.e.j	$2610$	$2$	2610.e	5.b	$2$	$14$	$14$	$20.841$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None		✓			2610.2.e.j	$2$	$0$	$0$	$0$	$0$	$0$		$2^{5}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{6}q^{2}-q^{4}-\beta _{9}q^{5}+(\beta _{6}-\beta _{13})q^{7}+\cdots$
2610.2.e.k	$2610$	$2$	2610.e	5.b	$2$	$14$	$14$	$20.841$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None		✓			2610.2.e.j	$2$	$0$	$0$	$0$	$0$	$0$		$2^{5}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{6}q^{2}-q^{4}+\beta _{9}q^{5}+(\beta _{6}-\beta _{13})q^{7}+\cdots$
2610.2.f.a	$2610$	$2$	2610.f	29.b	$2$	$2$	$2$	$20.841$	$\Q(\sqrt{-1}) $	None					870.2.f.a	$2$	$0$	$0$	$0$	$-2$	$-4$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-i q^{2}-q^{4}-q^{5}-2 q^{7}+i q^{8}+\cdots$
2610.2.f.b	$2610$	$2$	2610.f	29.b	$2$	$2$	$2$	$20.841$	$\Q(\sqrt{-1}) $	None					870.2.f.b	$2$	$0$	$0$	$0$	$-2$	$-4$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+i q^{2}-q^{4}-q^{5}-2 q^{7}-i q^{8}+\cdots$
2610.2.f.c	$2610$	$2$	2610.f	29.b	$2$	$2$	$2$	$20.841$	$\Q(\sqrt{-1}) $	None					290.2.c.a	$2$	$0$	$0$	$0$	$2$	$8$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+i q^{2}-q^{4}+q^{5}+4 q^{7}-i q^{8}+\cdots$
2610.2.f.d	$2610$	$2$	2610.f	29.b	$2$	$4$	$4$	$20.841$	$\Q(i, \sqrt{5})$	None					290.2.c.c	$2$	$0$	$0$	$0$	$-4$	$2$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{3}q^{2}-q^{4}-q^{5}-\beta _{2}q^{7}-\beta _{3}q^{8}+\cdots$
2610.2.f.e	$2610$	$2$	2610.f	29.b	$2$	$4$	$4$	$20.841$	$\Q(i, \sqrt{29})$	None					290.2.c.b	$2$	$0$	$0$	$0$	$4$	$-10$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{2}q^{2}-q^{4}+q^{5}+(-3+\beta _{3})q^{7}+\cdots$

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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.