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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 128 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2178.2.a.a	$2178$	$2$	2178.a	1.a	$1$	$1$	$1$	$17.391$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{7}-q^{8}-2q^{13}+2q^{14}+\cdots$
2178.2.a.b	$2178$	$2$	2178.a	1.a	$1$	$1$	$1$	$17.391$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{7}-q^{8}+4q^{13}+2q^{14}+\cdots$
2178.2.a.c	$2178$	$2$	2178.a	1.a	$1$	$1$	$1$	$17.391$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}+6q^{13}+q^{16}+6q^{17}+\cdots$
2178.2.a.d	$2178$	$2$	2178.a	1.a	$1$	$1$	$1$	$17.391$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-4q^{7}-q^{8}-q^{10}+\cdots$
2178.2.a.e	$2178$	$2$	2178.a	1.a	$1$	$1$	$1$	$17.391$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+4q^{7}-q^{8}-q^{10}+\cdots$
2178.2.a.f	$2178$	$2$	2178.a	1.a	$1$	$1$	$1$	$17.391$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$3$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}-2q^{7}-q^{8}-3q^{10}+\cdots$
2178.2.a.g	$2178$	$2$	2178.a	1.a	$1$	$1$	$1$	$17.391$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-2$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{5}+4q^{7}+q^{8}-2q^{10}+\cdots$
2178.2.a.h	$2178$	$2$	2178.a	1.a	$1$	$1$	$1$	$17.391$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{7}+q^{8}-2q^{13}-2q^{14}+\cdots$
2178.2.a.i	$2178$	$2$	2178.a	1.a	$1$	$1$	$1$	$17.391$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{8}-6q^{13}+q^{16}-6q^{17}+\cdots$
2178.2.a.j	$2178$	$2$	2178.a	1.a	$1$	$1$	$1$	$17.391$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots$
2178.2.a.k	$2178$	$2$	2178.a	1.a	$1$	$1$	$1$	$17.391$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+4q^{7}+q^{8}+q^{10}+\cdots$
2178.2.a.l	$2178$	$2$	2178.a	1.a	$1$	$1$	$1$	$17.391$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$3$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+3q^{5}+2q^{7}+q^{8}+3q^{10}+\cdots$
2178.2.a.m	$2178$	$2$	2178.a	1.a	$1$	$1$	$1$	$17.391$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$4$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+4q^{5}+2q^{7}+q^{8}+4q^{10}+\cdots$
2178.2.a.n	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$0$	$-5$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-2-\beta )q^{5}+(1-3\beta )q^{7}+\cdots$
2178.2.a.o	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$0$	$-5$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-2-\beta )q^{5}+(1-\beta )q^{7}+\cdots$
2178.2.a.p	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$0$	$-2$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2\beta q^{5}-2q^{7}-q^{8}+2\beta q^{10}+\cdots$
2178.2.a.q	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{3}) $	None	✓	$2$	$1$	$-2$	$0$	$0$	$0$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta q^{5}-\beta q^{7}-q^{8}-\beta q^{10}+\cdots$
2178.2.a.r	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{3}) $	None	✓	$2$	$1$	$-2$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+\beta q^{13}+\cdots$
2178.2.a.s	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$-2$	$0$	$0$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta q^{5}+(3+\beta )q^{7}-q^{8}+\cdots$
2178.2.a.t	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$0$	$1$	$7$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-1+3\beta )q^{5}+(4-\beta )q^{7}+\cdots$
2178.2.a.u	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$0$	$5$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(3-\beta )q^{5}+(2-3\beta )q^{7}+\cdots$
2178.2.a.v	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$0$	$-5$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-2-\beta )q^{5}+(-1+\beta )q^{7}+\cdots$
2178.2.a.w	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$0$	$-5$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-2-\beta )q^{5}+(-1+3\beta )q^{7}+\cdots$
2178.2.a.x	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$0$	$-2$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2\beta q^{5}+2q^{7}+q^{8}-2\beta q^{10}+\cdots$
2178.2.a.y	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$0$	$0$	$-6$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta q^{5}+(-3-\beta )q^{7}+q^{8}+\cdots$
2178.2.a.z	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{3}) $	None	✓	$2$	$0$	$2$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta q^{5}+q^{8}+\beta q^{10}-\beta q^{13}+\cdots$
2178.2.a.ba	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{3}) $	None	✓	$2$	$0$	$2$	$0$	$0$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta q^{5}+\beta q^{7}+q^{8}+\beta q^{10}+\cdots$
2178.2.a.bb	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$0$	$1$	$-7$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1+3\beta )q^{5}+(-4+\beta )q^{7}+\cdots$
2178.2.a.bc	$2178$	$2$	2178.a	1.a	$1$	$2$	$2$	$17.391$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$0$	$5$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(3-\beta )q^{5}+(-2+3\beta )q^{7}+\cdots$
2178.2.b.a	$2178$	$2$	2178.b	33.d	$2$	$2$	$2$	$17.391$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+3\beta q^{5}+2\beta q^{7}-q^{8}+\cdots$
2178.2.b.b	$2178$	$2$	2178.b	33.d	$2$	$2$	$2$	$17.391$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+\beta q^{7}-q^{8}-4\beta q^{13}+\cdots$
2178.2.b.c	$2178$	$2$	2178.b	33.d	$2$	$2$	$2$	$17.391$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+2\beta q^{5}+3\beta q^{7}-q^{8}+\cdots$
2178.2.b.d	$2178$	$2$	2178.b	33.d	$2$	$2$	$2$	$17.391$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+2\beta q^{5}-3\beta q^{7}+q^{8}+\cdots$
2178.2.b.e	$2178$	$2$	2178.b	33.d	$2$	$2$	$2$	$17.391$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta q^{7}+q^{8}-4\beta q^{13}+\cdots$
2178.2.b.f	$2178$	$2$	2178.b	33.d	$2$	$2$	$2$	$17.391$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+3\beta q^{5}-2\beta q^{7}+q^{8}+\cdots$
2178.2.b.g	$2178$	$2$	2178.b	33.d	$2$	$4$	$4$	$17.391$	$\Q(\sqrt{-2}, \sqrt{3})$	None		$2$	$0$	$-4$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+\beta _{1}q^{5}-q^{8}-\beta _{1}q^{10}+\cdots$
2178.2.b.h	$2178$	$2$	2178.b	33.d	$2$	$4$	$4$	$17.391$	$\Q(\sqrt{-2}, \sqrt{3})$	None		$2$	$0$	$4$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta _{1}q^{5}+q^{8}+\beta _{1}q^{10}+\cdots$
2178.2.b.i	$2178$	$2$	2178.b	33.d	$2$	$8$	$8$	$17.391$	8.0.64000000.1	None		$2$	$0$	$-8$	$0$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+(\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots$
2178.2.b.j	$2178$	$2$	2178.b	33.d	$2$	$8$	$8$	$17.391$	8.0.64000000.1	None		$2$	$0$	$8$	$0$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+(\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots$
2178.3.c.a	$2178$	$3$	2178.c	3.b	$2$	$2$	$2$	$59.346$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$0$	$0$	$0$	$-10$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta q^{2}-2q^{4}-5q^{7}-2\beta q^{8}-8q^{13}+\cdots$
2178.3.c.b	$2178$	$3$	2178.c	3.b	$2$	$2$	$2$	$59.346$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta q^{2}-2q^{4}+3\beta q^{5}-2\beta q^{8}-6q^{10}+\cdots$
2178.3.c.c	$2178$	$3$	2178.c	3.b	$2$	$2$	$2$	$59.346$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta q^{2}-2q^{4}+3\beta q^{5}+2\beta q^{8}+6q^{10}+\cdots$
2178.3.c.d	$2178$	$3$	2178.c	3.b	$2$	$2$	$2$	$59.346$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$0$	$0$	$0$	$8$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta q^{2}-2q^{4}+3\beta q^{5}+4q^{7}-2\beta q^{8}+\cdots$
2178.3.c.e	$2178$	$3$	2178.c	3.b	$2$	$2$	$2$	$59.346$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$0$	$0$	$0$	$10$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta q^{2}-2q^{4}+5q^{7}+2\beta q^{8}+8q^{13}+\cdots$
2178.3.c.f	$2178$	$3$	2178.c	3.b	$2$	$4$	$4$	$59.346$	$\Q(\sqrt{-2}, \sqrt{3})$	None		$2$	$0$	$0$	$0$	$0$	$-24$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+(-\beta _{1}+\beta _{3})q^{2}-2q^{4}+(-4\beta _{1}-\beta _{3})q^{5}+\cdots$
2178.3.c.g	$2178$	$3$	2178.c	3.b	$2$	$4$	$4$	$59.346$	$\Q(\sqrt{-2}, \sqrt{3})$	None		$2$	$0$	$0$	$0$	$0$	$-24$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}-2q^{4}+2\beta _{3}q^{5}+(-6+\beta _{2}+\cdots)q^{7}+\cdots$
2178.3.c.h	$2178$	$3$	2178.c	3.b	$2$	$4$	$4$	$59.346$	$\Q(\sqrt{-2}, \sqrt{-11})$	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{5}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{1}q^{2}-2q^{4}-\beta _{1}q^{5}-\beta _{2}q^{7}+2\beta _{1}q^{8}+\cdots$
2178.3.c.i	$2178$	$3$	2178.c	3.b	$2$	$4$	$4$	$59.346$	$\Q(\sqrt{-2}, \sqrt{3})$	None		$2$	$0$	$0$	$0$	$0$	$24$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{1}q^{2}-2q^{4}+2\beta _{3}q^{5}+(6-\beta _{2}+\cdots)q^{7}+\cdots$
2178.3.c.j	$2178$	$3$	2178.c	3.b	$2$	$4$	$4$	$59.346$	$\Q(\sqrt{-2}, \sqrt{3})$	None		$2$	$0$	$0$	$0$	$0$	$24$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+(\beta _{1}-\beta _{3})q^{2}-2q^{4}+(-4\beta _{1}-\beta _{3})q^{5}+\cdots$
2178.3.c.k	$2178$	$3$	2178.c	3.b	$2$	$6$	$6$	$59.346$	$\mathbb{Q}[x]/(x^{6} + \cdots)$	None		$2$	$0$	$0$	$0$	$0$	$-10$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{2}q^{2}-2q^{4}+\beta _{1}q^{5}+(-2+\beta _{5})q^{7}+\cdots$

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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.