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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 (26 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	5	67	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6030.2.a.a	$6030$	$2$	6030.a	1.a	$1$	$1$	$1$	$48.150$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
6030.2.a.c	$6030$	$2$	6030.a	1.a	$1$	$1$	$1$	$48.150$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+4q^{7}-q^{8}+q^{10}+\cdots$
6030.2.a.d	$6030$	$2$	6030.a	1.a	$1$	$1$	$1$	$48.150$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$-5$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-5q^{7}-q^{8}-q^{10}+\cdots$
6030.2.a.j	$6030$	$2$	6030.a	1.a	$1$	$1$	$1$	$48.150$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
6030.2.a.k	$6030$	$2$	6030.a	1.a	$1$	$1$	$1$	$48.150$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$2$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots$
6030.2.a.m	$6030$	$2$	6030.a	1.a	$1$	$1$	$1$	$48.150$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots$
6030.2.a.n	$6030$	$2$	6030.a	1.a	$1$	$1$	$1$	$48.150$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$-3$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-3q^{7}+q^{8}-q^{10}+\cdots$
6030.2.a.s	$6030$	$2$	6030.a	1.a	$1$	$1$	$1$	$48.150$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6030.2.a.t	$6030$	$2$	6030.a	1.a	$1$	$1$	$1$	$48.150$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
6030.2.a.v	$6030$	$2$	6030.a	1.a	$1$	$1$	$1$	$48.150$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$2$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots$
6030.2.a.w	$6030$	$2$	6030.a	1.a	$1$	$1$	$1$	$48.150$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots$
6030.2.a.y	$6030$	$2$	6030.a	1.a	$1$	$1$	$1$	$48.150$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$4$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+4q^{7}+q^{8}+q^{10}+\cdots$
6030.2.a.z	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$0$	$-2$	$-6$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+(-3+\beta )q^{7}-q^{8}+\cdots$
6030.2.a.bc	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$-2$	$0$	$2$	$4$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+(2+\beta )q^{7}-q^{8}+\cdots$
6030.2.a.bd	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$-2$	$4$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+(2+\beta )q^{7}+q^{8}+\cdots$
6030.2.a.bh	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+\beta q^{7}+q^{8}+q^{10}+\cdots$
6030.2.a.bi	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+(1+\beta )q^{7}+q^{8}+\cdots$
6030.2.a.bl	$6030$	$2$	6030.a	1.a	$1$	$3$	$3$	$48.150$	3.3.568.1	None	✓	$1$	$0$	$-3$	$0$	$3$	$-2$	$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+(-1-\beta _{2})q^{7}-q^{8}+\cdots$
6030.2.a.bm	$6030$	$2$	6030.a	1.a	$1$	$3$	$3$	$48.150$	3.3.568.1	None	✓	$1$	$0$	$-3$	$0$	$3$	$-1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-\beta _{1}q^{7}-q^{8}-q^{10}+\cdots$
6030.2.a.bp	$6030$	$2$	6030.a	1.a	$1$	$3$	$3$	$48.150$	3.3.3132.1	None	✓	$1$	$0$	$-3$	$0$	$3$	$3$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+(1+\beta _{1})q^{7}-q^{8}+\cdots$
6030.2.a.bq	$6030$	$2$	6030.a	1.a	$1$	$3$	$3$	$48.150$	3.3.568.1	None	✓	$1$	$0$	$3$	$0$	$-3$	$-2$	$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+(-1-\beta _{2})q^{7}+q^{8}+\cdots$
6030.2.a.bu	$6030$	$2$	6030.a	1.a	$1$	$4$	$4$	$48.150$	4.4.70292.1	None	✓	$1$	$0$	$4$	$0$	$4$	$1$	$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+\beta _{1}q^{7}+q^{8}+q^{10}+\cdots$
6030.2.a.bv	$6030$	$2$	6030.a	1.a	$1$	$5$	$5$	$48.150$	5.5.6517908.1	None	✓	$1$	$0$	$-5$	$0$	$-5$	$-1$	$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+\beta _{2}q^{7}-q^{8}+q^{10}+\cdots$
6030.2.a.bw	$6030$	$2$	6030.a	1.a	$1$	$5$	$5$	$48.150$	5.5.31460256.1	None	✓	$1$	$0$	$5$	$0$	$-5$	$5$	$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+(1-\beta _{2})q^{7}+q^{8}+\cdots$
6030.2.a.bx	$6030$	$2$	6030.a	1.a	$1$	$8$	$8$	$48.150$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$0$	$-8$	$0$	$-8$	$4$	$+$	$+$	$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+(1-\beta _{6})q^{7}-q^{8}+\cdots$
6030.2.a.by	$6030$	$2$	6030.a	1.a	$1$	$8$	$8$	$48.150$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$0$	$8$	$0$	$8$	$4$	$-$	$+$	$-$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+(1-\beta _{6})q^{7}+q^{8}+\cdots$

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Elliptic curves over $\Q$
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Genus 2 curves over $\Q$
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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.