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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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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
143.1.d.a	$143$	$1$	143.d	143.d	$2$	$2$	$2$	$0.071$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-143}) $	None	✓	$2$	$0$	$-1$	$-1$	$0$	$-1$		$1$		$q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots$
143.1.d.b	$143$	$1$	143.d	143.d	$2$	$2$	$2$	$0.071$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-143}) $	None	✓	$2$	$0$	$1$	$-1$	$0$	$1$		$1$		$q+(1-\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots$
143.2.a.a	$143$	$2$	143.a	1.a	$1$	$1$	$1$	$1.142$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}-q^{5}-2q^{7}-2q^{9}-q^{11}+\cdots$
143.2.a.b	$143$	$2$	143.a	1.a	$1$	$4$	$4$	$1.142$	4.4.1957.1	$_{}$	None	None	✓	$1$	$0$	$3$	$0$	$0$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{1}+\beta _{2})q^{2}+(-\beta _{2}-\beta _{3})q^{3}+\cdots$
143.2.a.c	$143$	$2$	143.a	1.a	$1$	$6$	$6$	$1.142$	6.6.194616205.1	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots$
143.2.b.a	$143$	$2$	143.b	13.b	$2$	$12$	$12$	$1.142$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$-4$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+\beta _{3}q^{3}+(-1+\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots$
143.2.e.a	$143$	$2$	143.e	13.c	$3$	$6$	$3$	$1.142$	6.0.1714608.1	$_{}$	None	None		$2$	$0$	$-3$	$0$	$6$	$0$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1-\beta _{4})q^{2}+(-\beta _{3}+\beta _{5})q^{3}-\beta _{4}q^{4}+\cdots$
143.2.e.b	$143$	$2$	143.e	13.c	$3$	$6$	$3$	$1.142$	6.0.3518667.1	$_{}$	None	None		$2$	$0$	$1$	$-1$	$-2$	$-5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\beta _{1}q^{2}+\beta _{5}q^{3}+(-3+\beta _{2}-2\beta _{3}+\cdots)q^{4}+\cdots$
143.2.e.c	$143$	$2$	143.e	13.c	$3$	$12$	$6$	$1.142$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$-1$	$-12$	$3$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\beta _{6}q^{2}+(\beta _{6}+\beta _{8})q^{3}+(-\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots$
143.2.g.a	$143$	$2$	143.g	143.g	$4$	$24$	$12$	$1.142$		$_{}$	None	None		$4$	$0$	$0$	$-8$	$-4$	$0$			$\mathrm{SU}(2)[C_{4}]$
143.2.h.a	$143$	$2$	143.h	11.c	$5$	$4$	$1$	$1.142$	$\Q(\zeta_{10})$	$_{}$	None	None		$2$	$1$	$-5$	$-4$	$-4$	$-8$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1-\zeta_{10}+\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
143.2.h.b	$143$	$2$	143.h	11.c	$5$	$16$	$4$	$1.142$	16.0.$\cdots$.1	$_{}$	None	None		$2$	$0$	$2$	$5$	$5$	$9$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+\beta _{14}q^{2}+(\beta _{2}-\beta _{4}-\beta _{5}-\beta _{11})q^{3}+\cdots$
143.2.h.c	$143$	$2$	143.h	11.c	$5$	$28$	$7$	$1.142$		$_{}$	None	None		$2$	$0$	$-3$	$-7$	$-7$	$-7$			$\mathrm{SU}(2)[C_{5}]$
143.2.j.a	$143$	$2$	143.j	13.e	$6$	$4$	$2$	$1.142$	$\Q(\zeta_{12})$	$_{}$	None	None		$2$	$0$	$6$	$2$	$0$	$-6$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q+(2-\zeta_{12}^{2})q^{2}+(-\zeta_{12}+\zeta_{12}^{2}-\zeta_{12}^{3})q^{3}+\cdots$
143.2.j.b	$143$	$2$	143.j	13.e	$6$	$16$	$8$	$1.142$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	$_{}$	None	None		$2$	$0$	$-6$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q-\beta _{2}q^{2}+(-\beta _{1}-\beta _{2}-\beta _{4}-\beta _{6}+\beta _{8}+\cdots)q^{3}+\cdots$
143.2.n.a	$143$	$2$	143.n	143.n	$10$	$48$	$12$	$1.142$		$_{}$	None	None		$4$	$0$	$0$	$-6$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
143.2.o.a	$143$	$2$	143.o	143.o	$12$	$48$	$12$	$1.142$		$_{}$	None	None		$4$	$0$	$0$	$-4$	$-8$	$0$			$\mathrm{SU}(2)[C_{12}]$
143.2.q.a	$143$	$2$	143.q	143.q	$15$	$96$	$12$	$1.142$		$_{}$	None	None		$4$	$0$	$-3$	$-3$	$-12$	$-3$			$\mathrm{SU}(2)[C_{15}]$
143.2.s.a	$143$	$2$	143.s	143.s	$20$	$96$	$12$	$1.142$		$_{}$	None	None		$4$	$0$	$-10$	$-12$	$-6$	$-10$			$\mathrm{SU}(2)[C_{20}]$
143.2.u.a	$143$	$2$	143.u	143.u	$30$	$96$	$12$	$1.142$		$_{}$	None	None		$4$	$0$	$-9$	$-3$	$0$	$-9$			$\mathrm{SU}(2)[C_{30}]$
143.2.w.a	$143$	$2$	143.w	143.w	$60$	$192$	$12$	$1.142$		$_{}$	None	None		$4$	$0$	$-20$	$-6$	$-12$	$-20$			$\mathrm{SU}(2)[C_{60}]$
143.3.c.a	$143$	$3$	143.c	11.b	$2$	$24$	$24$	$3.896$		$_{}$	None	None		$2$	$0$	$0$	$6$	$-2$	$0$			$\mathrm{SU}(2)[C_{2}]$
143.3.d.a	$143$	$3$	143.d	143.d	$2$	$5$	$5$	$3.896$	5.5.63903125.1	$_{}$	$\Q(\sqrt{-143}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{U}(1)[D_{2}]$	$q-\beta _{3}q^{2}+\beta _{2}q^{3}+(4-\beta _{1}-\beta _{4})q^{4}+\cdots$
143.3.d.b	$143$	$3$	143.d	143.d	$2$	$5$	$5$	$3.896$	5.5.63903125.1	$_{}$	$\Q(\sqrt{-143}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{U}(1)[D_{2}]$	$q+\beta _{3}q^{2}+\beta _{2}q^{3}+(4-\beta _{1}-\beta _{4})q^{4}+\cdots$
143.3.d.c	$143$	$3$	143.d	143.d	$2$	$8$	$8$	$3.896$	$\mathbb{Q}[x]/(x^{8} + \cdots)$	$_{}$	None	None		$4$	$0$	$0$	$-4$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{3}q^{2}-\beta _{1}q^{3}+(-1+\beta _{1})q^{4}+\beta _{2}q^{5}+\cdots$
143.3.d.d	$143$	$3$	143.d	143.d	$2$	$8$	$8$	$3.896$	$\mathbb{Q}[x]/(x^{8} + \cdots)$	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{1}q^{2}-\beta _{3}q^{3}+(1-2\beta _{3})q^{4}-\beta _{2}q^{5}+\cdots$
143.3.f.a	$143$	$3$	143.f	13.d	$4$	$44$	$22$	$3.896$		$_{}$	None	None		$2$	$0$	$4$	$0$	$-20$	$20$			$\mathrm{SU}(2)[C_{4}]$
143.3.i.a	$143$	$3$	143.i	143.i	$6$	$52$	$26$	$3.896$		$_{}$	None	None		$4$	$0$	$0$	$-2$	$0$	$0$			$\mathrm{SU}(2)[C_{6}]$
143.3.k.a	$143$	$3$	143.k	143.k	$6$	$52$	$26$	$3.896$		$_{}$	None	None		$4$	$0$	$0$	$-2$	$-8$	$0$			$\mathrm{SU}(2)[C_{6}]$
143.3.l.a	$143$	$3$	143.l	143.l	$10$	$104$	$26$	$3.896$		$_{}$	None	None		$4$	$0$	$0$	$-6$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
143.3.m.a	$143$	$3$	143.m	11.d	$10$	$96$	$24$	$3.896$		$_{}$	None	None		$2$	$0$	$0$	$-6$	$2$	$-30$			$\mathrm{SU}(2)[C_{10}]$
143.3.p.a	$143$	$3$	143.p	13.f	$12$	$96$	$24$	$3.896$		$_{}$	None	None		$2$	$0$	$-4$	$0$	$20$	$-40$			$\mathrm{SU}(2)[C_{12}]$
143.3.r.a	$143$	$3$	143.r	143.r	$20$	$208$	$26$	$3.896$		$_{}$	None	None		$4$	$0$	$-6$	$-12$	$-6$	$-6$			$\mathrm{SU}(2)[C_{20}]$
143.3.t.a	$143$	$3$	143.t	143.t	$30$	$208$	$26$	$3.896$		$_{}$	None	None		$4$	$0$	$-5$	$-3$	$-12$	$-5$			$\mathrm{SU}(2)[C_{30}]$
143.3.v.a	$143$	$3$	143.v	143.v	$30$	$208$	$26$	$3.896$		$_{}$	None	None		$4$	$0$	$-15$	$-3$	$0$	$-15$			$\mathrm{SU}(2)[C_{30}]$
143.3.x.a	$143$	$3$	143.x	143.x	$60$	$416$	$26$	$3.896$		$_{}$	None	None		$4$	$0$	$-12$	$-6$	$-12$	$-12$			$\mathrm{SU}(2)[C_{60}]$
143.4.a.a	$143$	$4$	143.a	1.a	$1$	$4$	$4$	$8.437$	4.4.297133.1	$_{}$	None	None	✓	$1$	$1$	$0$	$-4$	$-6$	$-17$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(-1-\beta _{3})q^{3}+(2+\beta _{1}+2\beta _{2}+\cdots)q^{4}+\cdots$
143.4.a.b	$143$	$4$	143.a	1.a	$1$	$6$	$6$	$8.437$	$\mathbb{Q}[x]/(x^{6} - \cdots)$	$_{}$	None	None	✓	$1$	$1$	$-6$	$-6$	$-8$	$-53$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(-1-\beta _{4})q^{3}+(4+\cdots)q^{4}+\cdots$
143.4.a.c	$143$	$4$	143.a	1.a	$1$	$9$	$9$	$8.437$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	$_{}$	None	None	✓	$1$	$0$	$0$	$8$	$30$	$25$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1-\beta _{3})q^{3}+(5-\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots$
143.4.a.d	$143$	$4$	143.a	1.a	$1$	$11$	$11$	$8.437$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	$_{}$	None	None	✓	$1$	$0$	$6$	$6$	$-4$	$45$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(1-\beta _{5})q^{3}+(6-\beta _{1}+\cdots)q^{4}+\cdots$
143.4.b.a	$143$	$4$	143.b	13.b	$2$	$36$	$36$	$8.437$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
143.4.e.a	$143$	$4$	143.e	13.c	$3$	$34$	$17$	$8.437$		$_{}$	None	None		$2$	$0$	$-4$	$6$	$32$	$6$			$\mathrm{SU}(2)[C_{3}]$
143.4.e.b	$143$	$4$	143.e	13.c	$3$	$34$	$17$	$8.437$		$_{}$	None	None		$2$	$0$	$0$	$6$	$-48$	$62$			$\mathrm{SU}(2)[C_{3}]$
143.4.g.a	$143$	$4$	143.g	143.g	$4$	$80$	$40$	$8.437$		$_{}$	None	None		$4$	$0$	$0$	$-8$	$-4$	$0$			$\mathrm{SU}(2)[C_{4}]$
143.4.h.a	$143$	$4$	143.h	11.c	$5$	$68$	$17$	$8.437$		$_{}$	None	None		$2$	$0$	$4$	$12$	$24$	$8$			$\mathrm{SU}(2)[C_{5}]$
143.4.h.b	$143$	$4$	143.h	11.c	$5$	$76$	$19$	$8.437$		$_{}$	None	None		$2$	$0$	$4$	$-12$	$-16$	$56$			$\mathrm{SU}(2)[C_{5}]$
143.4.j.a	$143$	$4$	143.j	13.e	$6$	$72$	$36$	$8.437$		$_{}$	None	None		$2$	$0$	$0$	$-12$	$0$	$-36$			$\mathrm{SU}(2)[C_{6}]$
143.4.n.a	$143$	$4$	143.n	143.n	$10$	$160$	$40$	$8.437$		$_{}$	None	None		$4$	$0$	$0$	$-6$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
143.4.o.a	$143$	$4$	143.o	143.o	$12$	$160$	$40$	$8.437$		$_{}$	None	None		$4$	$0$	$0$	$-4$	$-8$	$0$			$\mathrm{SU}(2)[C_{12}]$
143.4.q.a	$143$	$4$	143.q	143.q	$15$	$320$	$40$	$8.437$		$_{}$	None	None		$4$	$0$	$-3$	$-3$	$-12$	$-3$			$\mathrm{SU}(2)[C_{15}]$

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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.