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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 91 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	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	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
375.1.c.a	$375$	$1$	375.c	3.b	$2$	$4$	$4$	$0.187$	$\Q(i, \sqrt{5})$	$D_{5}$	$\Q(\sqrt{-15}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\beta _{1}q^{2}+\beta _{3}q^{3}+\beta _{2}q^{4}+\beta _{2}q^{6}+\cdots$
375.1.d.a	$375$	$1$	375.d	15.d	$2$	$2$	$2$	$0.187$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-15}) $	None	✓	$2$	$0$	$-1$	$2$	$0$	$0$		$1$		$q+(-1+\beta )q^{2}+q^{3}+(1-\beta )q^{4}+(-1+\cdots)q^{6}+\cdots$
375.1.d.b	$375$	$1$	375.d	15.d	$2$	$2$	$2$	$0.187$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-15}) $	None	✓	$2$	$0$	$1$	$-2$	$0$	$0$		$1$		$q+(1-\beta )q^{2}-q^{3}+(1-\beta )q^{4}+(-1+\cdots)q^{6}+\cdots$
375.2.a.a	$375$	$2$	375.a	1.a	$1$	$2$	$2$	$2.994$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$1$	$-3$	$2$	$0$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{2}+q^{3}+3\beta q^{4}+(-1+\cdots)q^{6}+\cdots$
375.2.a.b	$375$	$2$	375.a	1.a	$1$	$2$	$2$	$2.994$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$1$	$-1$	$-2$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots$
375.2.a.c	$375$	$2$	375.a	1.a	$1$	$2$	$2$	$2.994$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$0$	$1$	$2$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots$
375.2.a.d	$375$	$2$	375.a	1.a	$1$	$2$	$2$	$2.994$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$0$	$3$	$-2$	$0$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}-q^{3}+3\beta q^{4}+(-1-\beta )q^{6}+\cdots$
375.2.a.e	$375$	$2$	375.a	1.a	$1$	$4$	$4$	$2.994$	4.4.2525.1	$_{}$	None	None	✓	$1$	$0$	$-3$	$-4$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{3})q^{2}-q^{3}+(1+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$
375.2.a.f	$375$	$2$	375.a	1.a	$1$	$4$	$4$	$2.994$	4.4.2525.1	$_{}$	None	None	✓	$1$	$0$	$3$	$4$	$0$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{2}-\beta _{3})q^{2}+q^{3}+(2-\beta _{1}-\beta _{3})q^{4}+\cdots$
375.2.b.a	$375$	$2$	375.b	5.b	$2$	$4$	$4$	$2.994$	$\Q(i, \sqrt{5})$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+(\beta _{1}-\beta _{3})q^{2}-\beta _{3}q^{3}+3\beta _{2}q^{4}+(-1+\cdots)q^{6}+\cdots$
375.2.b.b	$375$	$2$	375.b	5.b	$2$	$4$	$4$	$2.994$	$\Q(i, \sqrt{5})$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{2})q^{4}-\beta _{2}q^{6}+\cdots$
375.2.b.c	$375$	$2$	375.b	5.b	$2$	$8$	$8$	$2.994$	8.0.1632160000.5	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+(\beta _{4}+\beta _{7})q^{2}-\beta _{4}q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$
375.2.e.a	$375$	$2$	375.e	15.e	$4$	$16$	$8$	$2.994$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{4}]$	$q+\beta _{7}q^{2}+(-\beta _{1}+\beta _{11})q^{3}-\beta _{2}q^{4}+\cdots$
375.2.e.b	$375$	$2$	375.e	15.e	$4$	$16$	$8$	$2.994$	16.0.$\cdots$.2	$_{}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$5^{8}$	$\mathrm{U}(1)[D_{4}]$	$q-\beta _{3}q^{2}+\beta _{1}q^{3}+(-2\beta _{6}+\beta _{9})q^{4}+\cdots$
375.2.e.c	$375$	$2$	375.e	15.e	$4$	$32$	$16$	$2.994$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{4}]$
375.2.g.a	$375$	$2$	375.g	25.d	$5$	$4$	$1$	$2.994$	$\Q(\zeta_{10})$	$_{}$	None	None		$2$	$0$	$1$	$1$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+\zeta_{10}^{3}q^{3}+\cdots$
375.2.g.b	$375$	$2$	375.g	25.d	$5$	$8$	$2$	$2.994$	8.0.26265625.1	$_{}$	None	None		$2$	$0$	$1$	$2$	$0$	$-4$		$5$	$\mathrm{SU}(2)[C_{5}]$	$q+(\beta _{3}+\beta _{7})q^{2}+(1-\beta _{1}-\beta _{3}-\beta _{6}+\cdots)q^{3}+\cdots$
375.2.g.c	$375$	$2$	375.g	25.d	$5$	$12$	$3$	$2.994$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$-3$	$0$	$12$		$5$	$\mathrm{SU}(2)[C_{5}]$	$q-\beta _{2}q^{2}+\beta _{8}q^{3}+(-1-\beta _{4}+\beta _{8}+\cdots)q^{4}+\cdots$
375.2.g.d	$375$	$2$	375.g	25.d	$5$	$16$	$4$	$2.994$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	$_{}$	None	None		$2$	$0$	$-2$	$4$	$0$	$16$		$5^{2}$	$\mathrm{SU}(2)[C_{5}]$	$q+\beta _{5}q^{2}+\beta _{3}q^{3}+(\beta _{8}-\beta _{11})q^{4}+(1+\cdots)q^{6}+\cdots$
375.2.g.e	$375$	$2$	375.g	25.d	$5$	$16$	$4$	$2.994$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	$_{}$	None	None		$2$	$0$	$2$	$-4$	$0$	$-16$		$5^{2}$	$\mathrm{SU}(2)[C_{5}]$	$q-\beta _{5}q^{2}-\beta _{3}q^{3}+(\beta _{8}-\beta _{11})q^{4}+(1+\cdots)q^{6}+\cdots$
375.2.i.a	$375$	$2$	375.i	25.e	$10$	$8$	$2$	$2.994$	$\Q(\zeta_{20})$	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q+\zeta_{20}q^{2}+\zeta_{20}^{7}q^{3}-\zeta_{20}^{2}q^{4}+(-1+\cdots)q^{6}+\cdots$
375.2.i.b	$375$	$2$	375.i	25.e	$10$	$16$	$4$	$2.994$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$5^{2}$	$\mathrm{SU}(2)[C_{10}]$	$q+\beta _{14}q^{2}+(-\beta _{1}-\beta _{5}-\beta _{6}-\beta _{13}+\cdots)q^{3}+\cdots$
375.2.i.c	$375$	$2$	375.i	25.e	$10$	$16$	$4$	$2.994$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q+(\beta _{1}-\beta _{3}+\beta _{4}-\beta _{10}+\beta _{15})q^{2}+\cdots$
375.2.i.d	$375$	$2$	375.i	25.e	$10$	$24$	$6$	$2.994$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
375.2.l.a	$375$	$2$	375.l	75.l	$20$	$64$	$8$	$2.994$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$-20$			$\mathrm{SU}(2)[C_{20}]$
375.2.l.b	$375$	$2$	375.l	75.l	$20$	$64$	$8$	$2.994$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$20$			$\mathrm{SU}(2)[C_{20}]$
375.2.l.c	$375$	$2$	375.l	75.l	$20$	$64$	$8$	$2.994$		$_{}$	None	None		$4$	$0$	$0$	$10$	$0$	$20$			$\mathrm{SU}(2)[C_{20}]$
375.2.m.a	$375$	$2$	375.m	125.g	$25$	$260$	$13$	$2.994$		$_{}$	None	None		$2$	$0$	$0$	$0$	$20$	$-10$			$\mathrm{SU}(2)[C_{25}]$
375.2.m.b	$375$	$2$	375.m	125.g	$25$	$260$	$13$	$2.994$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-20$	$10$			$\mathrm{SU}(2)[C_{25}]$
375.2.o.a	$375$	$2$	375.o	125.h	$50$	$480$	$24$	$2.994$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{50}]$
375.2.r.a	$375$	$2$	375.r	375.r	$100$	$1920$	$48$	$2.994$		$_{}$	None	None		$4$	$0$	$0$	$-40$	$0$	$-80$			$\mathrm{SU}(2)[C_{100}]$
375.3.c.a	$375$	$3$	375.c	3.b	$2$	$8$	$8$	$10.218$	8.0.324000000.1	$_{}$	$\Q(\sqrt{-15}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$5^{4}$	$\mathrm{U}(1)[D_{2}]$	$q+\beta _{5}q^{2}+3\beta _{1}q^{3}+(-6-\beta _{4})q^{4}+\cdots$
375.3.c.b	$375$	$3$	375.c	3.b	$2$	$24$	$24$	$10.218$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
375.3.c.c	$375$	$3$	375.c	3.b	$2$	$32$	$32$	$10.218$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
375.3.d.a	$375$	$3$	375.d	15.d	$2$	$4$	$4$	$10.218$	$\Q(\zeta_{15})^+$	$_{}$	$\Q(\sqrt{-15}) $	None	✓	$2$	$0$	$-1$	$-12$	$0$	$0$		$5^{2}$	$\mathrm{U}(1)[D_{2}]$	$q-\beta _{1}q^{2}-3q^{3}+(6-\beta _{2})q^{4}+3\beta _{1}q^{6}+\cdots$
375.3.d.b	$375$	$3$	375.d	15.d	$2$	$4$	$4$	$10.218$	$\Q(\zeta_{15})^+$	$_{}$	$\Q(\sqrt{-15}) $	None	✓	$2$	$0$	$1$	$12$	$0$	$0$		$5^{2}$	$\mathrm{U}(1)[D_{2}]$	$q+\beta _{1}q^{2}+3q^{3}+(6-\beta _{2})q^{4}+3\beta _{1}q^{6}+\cdots$
375.3.d.c	$375$	$3$	375.d	15.d	$2$	$12$	$12$	$10.218$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	$_{}$	None	None		$2$	$0$	$-6$	$-7$	$0$	$0$		$5^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-1+\beta _{6})q^{2}+(-1+\beta _{1})q^{3}+(-\beta _{2}+\cdots)q^{4}+\cdots$
375.3.d.d	$375$	$3$	375.d	15.d	$2$	$12$	$12$	$10.218$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	$_{}$	None	None		$2$	$0$	$6$	$7$	$0$	$0$		$5^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(1-\beta _{6})q^{2}+(1-\beta _{3})q^{3}+(-\beta _{2}-\beta _{4}+\cdots)q^{4}+\cdots$
375.3.d.e	$375$	$3$	375.d	15.d	$2$	$32$	$32$	$10.218$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
375.3.f.a	$375$	$3$	375.f	5.c	$4$	$32$	$16$	$10.218$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{4}]$
375.3.f.b	$375$	$3$	375.f	5.c	$4$	$32$	$16$	$10.218$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{4}]$
375.3.h.a	$375$	$3$	375.h	75.h	$10$	$72$	$18$	$10.218$		$_{}$	None	None		$4$	$0$	$0$	$5$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
375.3.h.b	$375$	$3$	375.h	75.h	$10$	$144$	$36$	$10.218$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
375.3.j.a	$375$	$3$	375.j	75.j	$10$	$72$	$18$	$10.218$		$_{}$	None	None		$4$	$0$	$0$	$1$	$0$	$8$			$\mathrm{SU}(2)[C_{10}]$
375.3.j.b	$375$	$3$	375.j	75.j	$10$	$144$	$36$	$10.218$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
375.3.k.a	$375$	$3$	375.k	25.f	$20$	$80$	$10$	$10.218$		$_{}$	None	None		$2$	$0$	$-4$	$0$	$0$	$4$			$\mathrm{SU}(2)[C_{20}]$
375.3.k.b	$375$	$3$	375.k	25.f	$20$	$80$	$10$	$10.218$		$_{}$	None	None		$2$	$0$	$-4$	$0$	$0$	$4$			$\mathrm{SU}(2)[C_{20}]$
375.3.k.c	$375$	$3$	375.k	25.f	$20$	$80$	$10$	$10.218$		$_{}$	None	None		$2$	$0$	$4$	$0$	$0$	$-4$			$\mathrm{SU}(2)[C_{20}]$
375.3.n.a	$375$	$3$	375.n	375.n	$50$	$1960$	$98$	$10.218$		$_{}$	None	None		$4$	$0$	$0$	$-20$	$0$	$-30$			$\mathrm{SU}(2)[C_{50}]$
375.3.p.a	$375$	$3$	375.p	375.p	$50$	$1960$	$98$	$10.218$		$_{}$	None	None		$4$	$0$	$0$	$-20$	$0$	$-50$			$\mathrm{SU}(2)[C_{50}]$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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Abelian varieties over $\F_{q}$

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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.