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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 (39 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
2883.1.b.a	$2883$	$1$	2883.b	3.b	$2$	$2$	$2$	$1.439$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-3}) $	None	✓				93.1.l.a	$2$	$0$	$0$	$-2$	$0$	$-1$		$1$		$q-q^{3}+q^{4}+(-1+\beta )q^{7}+q^{9}-q^{12}+\cdots$
2883.1.b.b	$2883$	$1$	2883.b	3.b	$2$	$2$	$2$	$1.439$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-3}) $	None	✓				93.1.l.a	$2$	$0$	$0$	$2$	$0$	$-1$		$1$		$q+q^{3}+q^{4}+(-1+\beta )q^{7}+q^{9}+q^{12}+\cdots$
2883.1.b.c	$2883$	$1$	2883.b	3.b	$2$	$4$	$4$	$1.439$	$\Q(\zeta_{8})$	$S_{4}$	None	None		✓	✓		2883.1.b.c	$4$	$0$	$0$	$0$	$0$	$-4$		$1$		$q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-\zeta_{8}^{2}q^{5}-\zeta_{8}^{3}q^{6}+\cdots$
2883.1.h.a	$2883$	$1$	2883.h	93.h	$6$	$4$	$2$	$1.439$	$\Q(\sqrt{-3}, \sqrt{5})$	$D_{5}$	$\Q(\sqrt{-3}) $	None					93.1.l.a	$4$	$0$	$0$	$-2$	$0$	$1$		$1$		$q+\beta _{3}q^{3}+q^{4}+(\beta _{1}+\beta _{2}-\beta _{3})q^{7}+\cdots$
2883.1.h.b	$2883$	$1$	2883.h	93.h	$6$	$4$	$2$	$1.439$	$\Q(\sqrt{-3}, \sqrt{5})$	$D_{5}$	$\Q(\sqrt{-3}) $	None					93.1.l.a	$4$	$0$	$0$	$2$	$0$	$1$		$1$		$q-\beta _{3}q^{3}+q^{4}+(\beta _{1}+\beta _{2}-\beta _{3})q^{7}+\cdots$
2883.1.h.c	$2883$	$1$	2883.h	93.h	$6$	$8$	$4$	$1.439$	$\Q(\zeta_{24})$	$S_{4}$	None	None		✓	✓		2883.1.b.c	$8$	$0$	$0$	$0$	$0$	$4$		$1$		$q-\zeta_{24}^{6}q^{2}-\zeta_{24}^{5}q^{3}-\zeta_{24}^{10}q^{5}+\cdots$
2883.1.l.a	$2883$	$1$	2883.l	93.l	$10$	$4$	$1$	$1.439$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-3}) $	None					93.1.l.a	$4$	$0$	$0$	$-1$	$0$	$3$		$1$		$q-\zeta_{10}^{3}q^{3}+\zeta_{10}^{4}q^{4}+(1-\zeta_{10}^{3}+\cdots)q^{7}+\cdots$
2883.1.l.b	$2883$	$1$	2883.l	93.l	$10$	$4$	$1$	$1.439$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-3}) $	None					93.1.l.a	$4$	$0$	$0$	$1$	$0$	$-2$		$1$		$q+\zeta_{10}^{3}q^{3}+\zeta_{10}^{4}q^{4}+(-\zeta_{10}+\zeta_{10}^{2}+\cdots)q^{7}+\cdots$
2883.1.l.c	$2883$	$1$	2883.l	93.l	$10$	$4$	$1$	$1.439$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-3}) $	None					93.1.l.a	$4$	$0$	$0$	$1$	$0$	$3$		$1$		$q+\zeta_{10}^{3}q^{3}+\zeta_{10}^{4}q^{4}+(1-\zeta_{10}^{3}+\cdots)q^{7}+\cdots$
2883.1.l.d	$2883$	$1$	2883.l	93.l	$10$	$16$	$4$	$1.439$	$\Q(\zeta_{40})$	$S_{4}$	None	None		✓	✓		2883.1.b.c	$16$	$0$	$0$	$0$	$0$	$4$		$1$		$q+\zeta_{40}^{14}q^{2}-\zeta_{40}^{11}q^{3}+\zeta_{40}^{10}q^{5}+\cdots$
2883.1.o.a	$2883$	$1$	2883.o	93.o	$30$	$8$	$1$	$1.439$	$\Q(\zeta_{15})$	$D_{5}$	$\Q(\sqrt{-3}) $	None					93.1.l.a	$8$	$0$	$0$	$-1$	$0$	$-3$		$1$		$q-\zeta_{30}^{2}q^{3}+\zeta_{30}^{6}q^{4}+(\zeta_{30}^{2}-\zeta_{30}^{5}+\cdots)q^{7}+\cdots$
2883.1.o.b	$2883$	$1$	2883.o	93.o	$30$	$8$	$1$	$1.439$	$\Q(\zeta_{15})$	$D_{5}$	$\Q(\sqrt{-3}) $	None					93.1.l.a	$8$	$0$	$0$	$-1$	$0$	$2$		$1$		$q-\zeta_{30}^{2}q^{3}+\zeta_{30}^{6}q^{4}+(\zeta_{30}^{8}+\zeta_{30}^{14}+\cdots)q^{7}+\cdots$
2883.1.o.c	$2883$	$1$	2883.o	93.o	$30$	$8$	$1$	$1.439$	$\Q(\zeta_{15})$	$D_{5}$	$\Q(\sqrt{-3}) $	None					93.1.l.a	$8$	$0$	$0$	$1$	$0$	$-3$		$1$		$q+\zeta_{30}^{2}q^{3}+\zeta_{30}^{6}q^{4}+(\zeta_{30}^{2}-\zeta_{30}^{5}+\cdots)q^{7}+\cdots$
2883.1.o.d	$2883$	$1$	2883.o	93.o	$30$	$8$	$1$	$1.439$	$\Q(\zeta_{15})$	$D_{5}$	$\Q(\sqrt{-3}) $	None					93.1.l.a	$8$	$0$	$0$	$1$	$0$	$2$		$1$		$q+\zeta_{30}^{2}q^{3}+\zeta_{30}^{6}q^{4}+(\zeta_{30}^{8}+\zeta_{30}^{14}+\cdots)q^{7}+\cdots$
2883.1.o.e	$2883$	$1$	2883.o	93.o	$30$	$32$	$4$	$1.439$	$\Q(\zeta_{120})$	$S_{4}$	None	None		✓	✓		2883.1.b.c	$32$	$0$	$0$	$0$	$0$	$-4$		$1$		$q-\zeta_{120}^{42}q^{2}+\zeta_{120}^{43}q^{3}+\zeta_{120}^{50}q^{5}+\cdots$
2883.1.t.a	$2883$	$1$	2883.t	2883.t	$62$	$30$	$1$	$1.439$	$\Q(\zeta_{62})$	$D_{31}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	2883.1.t.a	$4$	$0$	$0$	$-1$	$0$	$-2$		$1$		$q+\zeta_{62}^{28}q^{3}-\zeta_{62}^{7}q^{4}+(-\zeta_{62}^{23}+\cdots)q^{7}+\cdots$
2883.1.z.a	$2883$	$1$	2883.z	2883.z	$310$	$120$	$1$	$1.439$	$\Q(\zeta_{155})$	$D_{155}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	2883.1.z.a	$4$	$0$	$0$	$1$	$0$	$2$		$1$		$q-\zeta_{310}^{107}q^{3}-\zeta_{310}^{81}q^{4}+(-\zeta_{310}^{89}+\cdots)q^{7}+\cdots$
2883.2.a.a	$2883$	$2$	2883.a	1.a	$1$	$2$	$2$	$23.021$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓				93.2.a.a	$1$	$1$	$-3$	$2$	$-4$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{2}+q^{3}+3\beta q^{4}+(-3+\cdots)q^{5}+\cdots$
2883.2.a.b	$2883$	$2$	2883.a	1.a	$1$	$2$	$2$	$23.021$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓				93.2.e.a	$1$	$1$	$0$	$-2$	$-4$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-q^{3}+(-2+\beta )q^{5}-\beta q^{6}+\cdots$
2883.2.a.c	$2883$	$2$	2883.a	1.a	$1$	$2$	$2$	$23.021$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓				93.2.e.a	$1$	$1$	$0$	$2$	$-4$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{3}+(-2+\beta )q^{5}+\beta q^{6}+\cdots$
2883.2.a.d	$2883$	$2$	2883.a	1.a	$1$	$2$	$2$	$23.021$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	✓			2883.2.a.d	$1$	$0$	$1$	$-2$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}+q^{5}-\beta q^{6}+\cdots$
2883.2.a.e	$2883$	$2$	2883.a	1.a	$1$	$2$	$2$	$23.021$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	✓			2883.2.a.d	$1$	$1$	$1$	$2$	$2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots$
2883.2.a.f	$2883$	$2$	2883.a	1.a	$1$	$3$	$3$	$23.021$	3.3.229.1	$_{}$	None	None	✓				93.2.a.b	$1$	$0$	$0$	$-3$	$-2$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots$
2883.2.a.g	$2883$	$2$	2883.a	1.a	$1$	$3$	$3$	$23.021$	3.3.148.1	$_{}$	None	None	✓				93.2.e.b	$1$	$0$	$0$	$-3$	$4$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}-q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots$
2883.2.a.h	$2883$	$2$	2883.a	1.a	$1$	$3$	$3$	$23.021$	3.3.148.1	$_{}$	None	None	✓				93.2.e.b	$1$	$0$	$0$	$3$	$4$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}+q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots$
2883.2.a.i	$2883$	$2$	2883.a	1.a	$1$	$4$	$4$	$23.021$	4.4.8768.1	$_{}$	None	None	✓	✓			2883.2.a.i	$1$	$0$	$-2$	$-4$	$4$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$
2883.2.a.j	$2883$	$2$	2883.a	1.a	$1$	$4$	$4$	$23.021$	4.4.8768.1	$_{}$	None	None	✓	✓			2883.2.a.i	$1$	$1$	$-2$	$4$	$4$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$
2883.2.a.k	$2883$	$2$	2883.a	1.a	$1$	$4$	$4$	$23.021$	$\Q(\zeta_{15})^+$	$_{}$	None	None	✓				93.2.f.a	$1$	$1$	$-1$	$-4$	$-3$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{2}+\beta _{3})q^{2}-q^{3}+\beta _{1}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$
2883.2.a.l	$2883$	$2$	2883.a	1.a	$1$	$4$	$4$	$23.021$	$\Q(\zeta_{15})^+$	$_{}$	None	None	✓				93.2.f.a	$1$	$1$	$-1$	$4$	$-3$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{2}+\beta _{3})q^{2}+q^{3}+\beta _{1}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$
2883.2.a.m	$2883$	$2$	2883.a	1.a	$1$	$8$	$8$	$23.021$	8.8.1697203125.1	$_{}$	None	None	✓				93.2.m.a	$1$	$1$	$-5$	$-8$	$-6$	$-6$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}-q^{3}+(1+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots$
2883.2.a.n	$2883$	$2$	2883.a	1.a	$1$	$8$	$8$	$23.021$	8.8.1697203125.1	$_{}$	None	None	✓				93.2.m.a	$1$	$1$	$-5$	$8$	$-6$	$-6$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+q^{3}+(1+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots$
2883.2.a.o	$2883$	$2$	2883.a	1.a	$1$	$8$	$8$	$23.021$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	$_{}$	None	None	✓				93.2.f.b	$1$	$0$	$1$	$-8$	$3$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots$
2883.2.a.p	$2883$	$2$	2883.a	1.a	$1$	$8$	$8$	$23.021$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	$_{}$	None	None	✓				93.2.f.b	$1$	$0$	$1$	$8$	$3$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots$
2883.2.a.q	$2883$	$2$	2883.a	1.a	$1$	$8$	$8$	$23.021$	8.8.1413480448.1	$_{}$	None	None	✓	✓			2883.2.a.q	$1$	$0$	$4$	$-8$	$0$	$-8$	$-$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{1}-\beta _{7})q^{2}-q^{3}+(-1-\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots$
2883.2.a.r	$2883$	$2$	2883.a	1.a	$1$	$8$	$8$	$23.021$	8.8.1413480448.1	$_{}$	None	None	✓	✓			2883.2.a.q	$1$	$1$	$4$	$8$	$0$	$-8$	$+$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{1}-\beta _{7})q^{2}+q^{3}+(-1-\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots$
2883.2.a.s	$2883$	$2$	2883.a	1.a	$1$	$12$	$12$	$23.021$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	$_{}$	None	None	✓		✓		93.2.m.b	$1$	$0$	$5$	$-12$	$6$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$
2883.2.a.t	$2883$	$2$	2883.a	1.a	$1$	$12$	$12$	$23.021$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	$_{}$	None	None	✓				93.2.m.b	$1$	$0$	$5$	$12$	$6$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$
2883.2.a.u	$2883$	$2$	2883.a	1.a	$1$	$24$	$24$	$23.021$		$_{}$	None	None	✓	✓	✓		2883.2.a.u	$1$	$1$	$0$	$-24$	$0$	$16$	$+$		$\mathrm{SU}(2)$
2883.2.a.v	$2883$	$2$	2883.a	1.a	$1$	$24$	$24$	$23.021$		$_{}$	None	None	✓	✓	✓		2883.2.a.u	$1$	$0$	$0$	$24$	$0$	$16$	$-$		$\mathrm{SU}(2)$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
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.