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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

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Results (1-50 of 104 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
2310.2.a.a	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.b	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.c	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
2310.2.a.d	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
2310.2.a.e	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.f	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.g	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.h	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.i	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.j	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.k	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.l	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.m	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.n	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.o	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.p	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.q	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.r	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.s	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.t	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
2310.2.a.u	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
2310.2.a.v	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.w	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$-2$	$-2$	$-2$	$2$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
2310.2.a.x	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$-2$	$-2$	$2$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.y	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$-2$	$-2$	$2$	$2$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
2310.2.a.z	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$-2$	$2$	$2$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.ba	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$-2$	$-2$	$-2$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.bb	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$-2$	$-2$	$2$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.bc	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$2$	$-2$	$2$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.bd	$2310$	$2$	2310.a	1.a	$1$	$3$	$3$	$18.445$	3.3.148.1	None	✓	$1$	$0$	$3$	$3$	$3$	$3$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
2310.2.d.a	$2310$	$2$	2310.d	385.h	$2$	$24$	$24$	$18.445$		None		$2$	$0$	$-24$	$-24$	$-2$	$-2$			$\mathrm{SU}(2)[C_{2}]$
2310.2.d.b	$2310$	$2$	2310.d	385.h	$2$	$24$	$24$	$18.445$		None		$2$	$0$	$-24$	$24$	$2$	$-2$			$\mathrm{SU}(2)[C_{2}]$
2310.2.d.c	$2310$	$2$	2310.d	385.h	$2$	$24$	$24$	$18.445$		None		$2$	$0$	$24$	$-24$	$-2$	$2$			$\mathrm{SU}(2)[C_{2}]$
2310.2.d.d	$2310$	$2$	2310.d	385.h	$2$	$24$	$24$	$18.445$		None		$2$	$0$	$24$	$24$	$2$	$2$			$\mathrm{SU}(2)[C_{2}]$
2310.2.e.a	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	$\Q(\sqrt{-1}) $	None		$2$	$1$	$0$	$0$	$-4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}+iq^{3}-q^{4}+(-2+i)q^{5}+\cdots$
2310.2.e.b	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$-4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}+iq^{3}-q^{4}+(-2-i)q^{5}+\cdots$
2310.2.e.c	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots$
2310.2.e.d	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}+iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots$
2310.2.e.e	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-iq^{3}-q^{4}+(1-2i)q^{5}+q^{6}+\cdots$
2310.2.e.f	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}-q^{6}+\cdots$
2310.2.e.g	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-iq^{3}-q^{4}+(2-i)q^{5}+q^{6}+\cdots$
2310.2.e.h	$2310$	$2$	2310.e	5.b	$2$	$4$	$4$	$18.445$	$\Q(i, \sqrt{5})$	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}+\beta _{3}q^{5}-q^{6}+\cdots$
2310.2.e.i	$2310$	$2$	2310.e	5.b	$2$	$6$	$6$	$18.445$	6.0.350464.1	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{3}q^{5}-q^{6}+\cdots$
2310.2.e.j	$2310$	$2$	2310.e	5.b	$2$	$6$	$6$	$18.445$	6.0.350464.1	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{4}q^{5}-q^{6}+\cdots$
2310.2.e.k	$2310$	$2$	2310.e	5.b	$2$	$6$	$6$	$18.445$	6.0.350464.1	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}+\beta _{4}q^{5}+q^{6}+\cdots$
2310.2.e.l	$2310$	$2$	2310.e	5.b	$2$	$6$	$6$	$18.445$	6.0.350464.1	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}-\beta _{4}q^{5}+q^{6}+\cdots$
2310.2.e.m	$2310$	$2$	2310.e	5.b	$2$	$6$	$6$	$18.445$	6.0.350464.1	None		$2$	$0$	$0$	$0$	$2$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}-\beta _{5}q^{5}+q^{6}+\cdots$
2310.2.e.n	$2310$	$2$	2310.e	5.b	$2$	$8$	$8$	$18.445$	8.0.110166016.2	None		$2$	$0$	$0$	$0$	$-4$	$0$		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{5}q^{2}-\beta _{5}q^{3}-q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots$
2310.2.e.o	$2310$	$2$	2310.e	5.b	$2$	$8$	$8$	$18.445$	8.0.309760000.3	None		$2$	$0$	$0$	$0$	$4$	$0$		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{4}q^{2}-\beta _{4}q^{3}-q^{4}+\beta _{7}q^{5}-q^{6}+\cdots$
2310.2.g.a	$2310$	$2$	2310.g	33.d	$2$	$4$	$4$	$18.445$	$\Q(\zeta_{8})$	None		$2$	$0$	$-4$	$-4$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+(-1+\zeta_{8}+\zeta_{8}^{2})q^{3}+q^{4}+\cdots$

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Elliptic 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.