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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 143 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
726.2.a.a	$726$	$2$	726.a	1.a	$1$	$1$	$1$	$5.797$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+4q^{7}+\cdots$
726.2.a.b	$726$	$2$	726.a	1.a	$1$	$1$	$1$	$5.797$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
726.2.a.c	$726$	$2$	726.a	1.a	$1$	$1$	$1$	$5.797$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$2$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+4q^{7}+\cdots$
726.2.a.d	$726$	$2$	726.a	1.a	$1$	$1$	$1$	$5.797$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$-4$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-4q^{5}-q^{6}+2q^{7}+\cdots$
726.2.a.e	$726$	$2$	726.a	1.a	$1$	$1$	$1$	$5.797$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$-1$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-4q^{7}+\cdots$
726.2.a.f	$726$	$2$	726.a	1.a	$1$	$1$	$1$	$5.797$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-1$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-4q^{7}+\cdots$
726.2.a.g	$726$	$2$	726.a	1.a	$1$	$1$	$1$	$5.797$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
726.2.a.h	$726$	$2$	726.a	1.a	$1$	$1$	$1$	$5.797$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+4q^{7}+\cdots$
726.2.a.i	$726$	$2$	726.a	1.a	$1$	$1$	$1$	$5.797$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$0$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots$
726.2.a.j	$726$	$2$	726.a	1.a	$1$	$2$	$2$	$5.797$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$-2$	$-1$	$-7$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(1-3\beta )q^{5}+q^{6}+\cdots$
726.2.a.k	$726$	$2$	726.a	1.a	$1$	$2$	$2$	$5.797$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$2$	$5$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(3-\beta )q^{5}-q^{6}+\cdots$
726.2.a.l	$726$	$2$	726.a	1.a	$1$	$2$	$2$	$5.797$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$-2$	$-1$	$7$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(1-3\beta )q^{5}-q^{6}+\cdots$
726.2.a.m	$726$	$2$	726.a	1.a	$1$	$2$	$2$	$5.797$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$2$	$5$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(3-\beta )q^{5}+q^{6}+\cdots$
726.2.b.a	$726$	$2$	726.b	33.d	$2$	$2$	$2$	$5.797$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+(1+\beta )q^{3}+q^{4}-2\beta q^{5}+(-1+\cdots)q^{6}+\cdots$
726.2.b.b	$726$	$2$	726.b	33.d	$2$	$2$	$2$	$5.797$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$2$	$2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+(1+\beta )q^{3}+q^{4}-2\beta q^{5}+(1+\cdots)q^{6}+\cdots$
726.2.b.c	$726$	$2$	726.b	33.d	$2$	$8$	$8$	$5.797$	8.0.185640625.1	None		$2$	$0$	$-8$	$-3$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+(\beta _{1}+\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots$
726.2.b.d	$726$	$2$	726.b	33.d	$2$	$8$	$8$	$5.797$	8.0.3588489216.5	None		$2$	$0$	$-8$	$4$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+(\beta _{1}+\beta _{6})q^{3}+q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots$
726.2.b.e	$726$	$2$	726.b	33.d	$2$	$8$	$8$	$5.797$	8.0.185640625.1	None		$2$	$0$	$8$	$-3$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}-\beta _{1}q^{3}+q^{4}+(\beta _{1}+\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots$
726.2.b.f	$726$	$2$	726.b	33.d	$2$	$8$	$8$	$5.797$	8.0.3588489216.5	None		$2$	$0$	$8$	$4$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+(\beta _{1}+\beta _{6})q^{3}+q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots$
726.2.e.a	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$2$	$0$	$-1$	$-1$	$-5$	$-3$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
726.2.e.b	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$4$	$0$	$-1$	$-1$	$0$	$2$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
726.2.e.c	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$2$	$0$	$-1$	$-1$	$0$	$2$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
726.2.e.d	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$4$	$0$	$-1$	$-1$	$1$	$-4$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
726.2.e.e	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$4$	$0$	$-1$	$-1$	$4$	$2$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
726.2.e.f	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$2$	$0$	$-1$	$1$	$-7$	$-1$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
726.2.e.g	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$4$	$0$	$-1$	$1$	$-2$	$4$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
726.2.e.h	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$4$	$0$	$-1$	$1$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
726.2.e.i	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$4$	$0$	$-1$	$1$	$1$	$4$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
726.2.e.j	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$-1$	$-5$	$3$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+\zeta_{10}^{2}q^{3}+\cdots$
726.2.e.k	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$4$	$0$	$1$	$-1$	$0$	$-2$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+\zeta_{10}^{2}q^{3}+\cdots$
726.2.e.l	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$4$	$0$	$1$	$-1$	$1$	$4$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+\zeta_{10}^{2}q^{3}+\cdots$
726.2.e.m	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$4$	$0$	$1$	$-1$	$4$	$-2$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+\zeta_{10}^{2}q^{3}+\cdots$
726.2.e.n	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$1$	$-7$	$1$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}-\zeta_{10}^{2}q^{3}+\cdots$
726.2.e.o	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$4$	$0$	$1$	$1$	$-2$	$-4$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}-\zeta_{10}^{2}q^{3}+\cdots$
726.2.e.p	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$4$	$0$	$1$	$1$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}-\zeta_{10}^{2}q^{3}+\cdots$
726.2.e.q	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$4$	$0$	$1$	$1$	$1$	$-4$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}-\zeta_{10}^{2}q^{3}+\cdots$
726.2.e.r	$726$	$2$	726.e	11.c	$5$	$4$	$1$	$5.797$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$1$	$8$	$6$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}-\zeta_{10}^{2}q^{3}+\cdots$
726.2.h.a	$726$	$2$	726.h	33.f	$10$	$8$	$2$	$5.797$	8.0.185640625.1	None		$2$	$0$	$-2$	$-3$	$5$	$-5$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q+(-1+\beta _{2}+\beta _{4}-\beta _{6})q^{2}+\beta _{5}q^{3}+\cdots$
726.2.h.b	$726$	$2$	726.h	33.f	$10$	$8$	$2$	$5.797$	8.0.64000000.1	None		$8$	$0$	$-2$	$-2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q-\beta _{6}q^{2}+(-1+\beta _{2}-\beta _{3}-\beta _{4}+\beta _{6}+\cdots)q^{3}+\cdots$
726.2.h.c	$726$	$2$	726.h	33.f	$10$	$8$	$2$	$5.797$	8.0.185640625.1	None		$2$	$0$	$-2$	$2$	$-5$	$5$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q-\beta _{4}q^{2}+(\beta _{2}+\beta _{3}+\beta _{4})q^{3}+\beta _{6}q^{4}+\cdots$
726.2.h.d	$726$	$2$	726.h	33.f	$10$	$8$	$2$	$5.797$	8.0.185640625.1	None		$2$	$0$	$-2$	$2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q+\beta _{6}q^{2}-\beta _{7}q^{3}+(-1+\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots$
726.2.h.e	$726$	$2$	726.h	33.f	$10$	$8$	$2$	$5.797$	8.0.64000000.1	None		$8$	$0$	$-2$	$2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q-\beta _{6}q^{2}+(1-\beta _{2}+\beta _{3}+\beta _{4}-\beta _{6}+\cdots)q^{3}+\cdots$
726.2.h.f	$726$	$2$	726.h	33.f	$10$	$8$	$2$	$5.797$	8.0.185640625.1	None		$2$	$0$	$2$	$-3$	$5$	$5$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q+(1-\beta _{2}-\beta _{4}+\beta _{6})q^{2}+\beta _{5}q^{3}-\beta _{2}q^{4}+\cdots$
726.2.h.g	$726$	$2$	726.h	33.f	$10$	$8$	$2$	$5.797$	8.0.64000000.1	None		$8$	$0$	$2$	$-2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q+(1-\beta _{2}+\beta _{4}-\beta _{6})q^{2}+(\beta _{1}-\beta _{3}+\cdots)q^{3}+\cdots$
726.2.h.h	$726$	$2$	726.h	33.f	$10$	$8$	$2$	$5.797$	8.0.185640625.1	None		$2$	$0$	$2$	$2$	$-5$	$-5$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q+(1-\beta _{2}-\beta _{4}+\beta _{6})q^{2}+(1+\beta _{1}+\beta _{3}+\cdots)q^{3}+\cdots$
726.2.h.i	$726$	$2$	726.h	33.f	$10$	$8$	$2$	$5.797$	8.0.64000000.1	None		$8$	$0$	$2$	$2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q-\beta _{4}q^{2}+(\beta _{2}-\beta _{7})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$
726.2.h.j	$726$	$2$	726.h	33.f	$10$	$8$	$2$	$5.797$	8.0.185640625.1	None		$2$	$0$	$2$	$2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q-\beta _{6}q^{2}+(\beta _{2}+\beta _{3}+\beta _{4})q^{3}+(-1+\cdots)q^{4}+\cdots$
726.2.h.k	$726$	$2$	726.h	33.f	$10$	$32$	$8$	$5.797$		None		$8$	$0$	$-8$	$-4$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
726.2.h.l	$726$	$2$	726.h	33.f	$10$	$32$	$8$	$5.797$		None		$8$	$0$	$8$	$-4$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
726.2.i.a	$726$	$2$	726.i	121.e	$11$	$50$	$5$	$5.797$		None		$2$	$0$	$-5$	$50$	$10$	$9$			$\mathrm{SU}(2)[C_{11}]$

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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.