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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad $p$	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (19 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1895.1.d.a	$1895$	$1$	1895.d	1895.d	$2$	$1$	$1$	$0.946$	$\Q$	$D_{3}$	$\Q(\sqrt{-1895}) $	None	✓	✓			1895.1.d.a	$2$	$0$	$-1$	$-1$	$1$	$-1$		$1$		$q-q^{2}-q^{3}+q^{5}+q^{6}-q^{7}+q^{8}+\cdots$
1895.1.d.b	$1895$	$1$	1895.d	1895.d	$2$	$1$	$1$	$0.946$	$\Q$	$D_{2}$	$\Q(\sqrt{-379}) $, $\Q(\sqrt{-1895}) $	$\Q(\sqrt{5}) $	✓	✓			1895.1.d.b	$4$	$0$	$0$	$0$	$1$	$0$		$1$		$q-q^{4}+q^{5}-q^{9}+q^{16}+2q^{19}-q^{20}+\cdots$
1895.1.d.c	$1895$	$1$	1895.d	1895.d	$2$	$1$	$1$	$0.946$	$\Q$	$D_{3}$	$\Q(\sqrt{-1895}) $	None	✓	✓			1895.1.d.a	$2$	$0$	$1$	$1$	$1$	$1$		$1$		$q+q^{2}+q^{3}+q^{5}+q^{6}+q^{7}-q^{8}+\cdots$
1895.1.d.d	$1895$	$1$	1895.d	1895.d	$2$	$2$	$2$	$0.946$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-379}) $	None		✓			1895.1.d.d	$4$	$0$	$0$	$0$	$-1$	$0$		$1$		$q-q^{4}+\zeta_{6}^{2}q^{5}-q^{9}+q^{16}-q^{19}+\cdots$
1895.1.d.e	$1895$	$1$	1895.d	1895.d	$2$	$2$	$2$	$0.946$	$\Q(\sqrt{2}) $	$D_{4}$	$\Q(\sqrt{-1895}) $	None	✓	✓			1895.1.d.e	$4$	$0$	$0$	$0$	$2$	$0$		$1$		$q-\beta q^{2}+\beta q^{3}+q^{4}+q^{5}-2q^{6}+\beta q^{7}+\cdots$
1895.1.d.f	$1895$	$1$	1895.d	1895.d	$2$	$2$	$2$	$0.946$	$\Q(\sqrt{3}) $	$D_{6}$	$\Q(\sqrt{-1895}) $	None	✓	✓			1895.1.d.f	$4$	$0$	$0$	$0$	$2$	$0$		$1$		$q-\beta q^{2}+\beta q^{3}+2q^{4}+q^{5}-3q^{6}+\cdots$
1895.1.d.g	$1895$	$1$	1895.d	1895.d	$2$	$4$	$4$	$0.946$	$\Q(\zeta_{16})^+$	$D_{8}$	$\Q(\sqrt{-1895}) $	None	✓	✓			1895.1.d.g	$4$	$0$	$0$	$0$	$-4$	$0$		$1$		$q-\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots$
1895.1.d.h	$1895$	$1$	1895.d	1895.d	$2$	$4$	$4$	$0.946$	$\Q(\zeta_{24})^+$	$D_{12}$	$\Q(\sqrt{-1895}) $	None	✓	✓			1895.1.d.h	$4$	$0$	$0$	$0$	$4$	$0$		$1$		$q-\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots$
1895.1.d.i	$1895$	$1$	1895.d	1895.d	$2$	$8$	$8$	$0.946$	$\Q(\zeta_{48})^+$	$D_{24}$	$\Q(\sqrt{-1895}) $	None	✓	✓	✓		1895.1.d.i	$4$	$0$	$0$	$0$	$-8$	$0$		$1$		$q-\beta _{1}q^{2}+(\beta _{3}+\beta _{5})q^{3}+(1+\beta _{2})q^{4}+\cdots$
1895.2.a.a	$1895$	$2$	1895.a	1.a	$1$	$20$	$20$	$15.132$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	$_{}$	None	None	✓	✓	✓	✓	1895.2.a.a	$1$	$1$	$-7$	$-5$	$20$	$-12$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+\beta _{15}q^{3}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots$
1895.2.a.b	$1895$	$2$	1895.a	1.a	$1$	$20$	$20$	$15.132$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	$_{}$	None	None	✓	✓	✓	✓	1895.2.a.b	$1$	$1$	$1$	$1$	$-20$	$-6$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{19}q^{3}+\beta _{2}q^{4}-q^{5}-\beta _{6}q^{6}+\cdots$
1895.2.a.c	$1895$	$2$	1895.a	1.a	$1$	$43$	$43$	$15.132$		$_{}$	None	None	✓	✓	✓	✓	1895.2.a.c	$1$	$0$	$10$	$9$	$43$	$18$	$-$		$\mathrm{SU}(2)$
1895.2.a.d	$1895$	$2$	1895.a	1.a	$1$	$44$	$44$	$15.132$		$_{}$	None	None	✓	✓	✓	✓	1895.2.a.d	$1$	$0$	$-1$	$-1$	$-44$	$8$	$-$		$\mathrm{SU}(2)$
1895.2.c.a	$1895$	$2$	1895.c	5.b	$2$	$88$	$88$	$15.132$		$_{}$	None	None		✓			1895.2.c.a	$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1895.2.c.b	$1895$	$2$	1895.c	5.b	$2$	$100$	$100$	$15.132$		$_{}$	None	None		✓	✓		1895.2.c.b	$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1895.4.a.a	$1895$	$4$	1895.a	1.a	$1$	$82$	$82$	$111.809$		$_{}$	None	None	✓	✓	✓	✓	1895.4.a.a	$1$	$1$	$2$	$3$	$-410$	$-51$	$-$		$\mathrm{SU}(2)$
1895.4.a.b	$1895$	$4$	1895.a	1.a	$1$	$83$	$83$	$111.809$		$_{}$	None	None	✓	✓	✓	✓	1895.4.a.b	$1$	$1$	$-20$	$-27$	$415$	$-131$	$-$		$\mathrm{SU}(2)$
1895.4.a.c	$1895$	$4$	1895.a	1.a	$1$	$106$	$106$	$111.809$		$_{}$	None	None	✓	✓	✓	✓	1895.4.a.c	$1$	$0$	$-2$	$-3$	$-530$	$47$	$+$		$\mathrm{SU}(2)$
1895.4.a.d	$1895$	$4$	1895.a	1.a	$1$	$107$	$107$	$111.809$		$_{}$	None	None	✓	✓	✓	✓	1895.4.a.d	$1$	$0$	$20$	$27$	$535$	$135$	$+$		$\mathrm{SU}(2)$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
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.