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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
201.1.g.a	$201$	$1$	201.g	201.g	$6$	$4$	$2$	$0.100$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$-2$		$1$		$q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{6}+\cdots$
201.1.k.a	$201$	$1$	201.k	201.k	$22$	$10$	$1$	$0.100$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$-2$		$1$		$q-\zeta_{22}^{7}q^{3}+\zeta_{22}^{6}q^{4}+(\zeta_{22}^{8}-\zeta_{22}^{9}+\cdots)q^{7}+\cdots$
201.2.a.a	$201$	$2$	201.a	1.a	$1$	$1$	$1$	$1.605$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-2$	$-1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}+2q^{6}+q^{9}-6q^{11}+\cdots$
201.2.a.b	$201$	$2$	201.a	1.a	$1$	$1$	$1$	$1.605$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-1$	$1$	$-1$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}-5q^{7}+\cdots$
201.2.a.c	$201$	$2$	201.a	1.a	$1$	$1$	$1$	$1.605$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$1$	$-1$	$-3$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}-3q^{5}-q^{6}-3q^{7}+\cdots$
201.2.a.d	$201$	$2$	201.a	1.a	$1$	$3$	$3$	$1.605$	3.3.148.1	$_{}$	None	None	✓	$1$	$0$	$3$	$-3$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$
201.2.a.e	$201$	$2$	201.a	1.a	$1$	$5$	$5$	$1.605$	5.5.1025428.1	$_{}$	None	None	✓	$1$	$0$	$0$	$5$	$-3$	$7$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{4})q^{5}+\cdots$
201.2.d.a	$201$	$2$	201.d	201.d	$2$	$20$	$20$	$1.605$	$\mathbb{Q}[x]/(x^{20} + \cdots)$	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{7}q^{2}+\beta _{5}q^{3}+(1+\beta _{16})q^{4}-\beta _{11}q^{5}+\cdots$
201.2.e.a	$201$	$2$	201.e	67.c	$3$	$2$	$1$	$1.605$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$1$	$-2$	$2$	$-8$	$-4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-2+2\zeta_{6})q^{2}+q^{3}-2\zeta_{6}q^{4}-4q^{5}+\cdots$
201.2.e.b	$201$	$2$	201.e	67.c	$3$	$10$	$5$	$1.605$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	$_{}$	None	None		$2$	$0$	$-2$	$-10$	$2$	$-1$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q-\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{3}-\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots$
201.2.e.c	$201$	$2$	201.e	67.c	$3$	$10$	$5$	$1.605$	10.0.$\cdots$.1	$_{}$	None	None		$2$	$0$	$0$	$10$	$6$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\beta _{9}q^{2}+q^{3}+(\beta _{1}-2\beta _{4}-2\beta _{5})q^{4}+\cdots$
201.2.f.a	$201$	$2$	201.f	201.f	$6$	$2$	$1$	$1.605$	$\Q(\sqrt{-3}) $	$_{}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$6$		$1$	$\mathrm{U}(1)[D_{6}]$	$q+(1-2\zeta_{6})q^{3}+2\zeta_{6}q^{4}+(4-2\zeta_{6})q^{7}+\cdots$
201.2.f.b	$201$	$2$	201.f	201.f	$6$	$40$	$20$	$1.605$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$-6$			$\mathrm{SU}(2)[C_{6}]$
201.2.i.a	$201$	$2$	201.i	67.e	$11$	$50$	$5$	$1.605$		$_{}$	None	None		$2$	$0$	$-2$	$5$	$2$	$2$			$\mathrm{SU}(2)[C_{11}]$
201.2.i.b	$201$	$2$	201.i	67.e	$11$	$70$	$7$	$1.605$		$_{}$	None	None		$2$	$0$	$-2$	$-7$	$-2$	$-10$			$\mathrm{SU}(2)[C_{11}]$
201.2.j.a	$201$	$2$	201.j	201.j	$22$	$200$	$20$	$1.605$		$_{}$	None	None		$4$	$0$	$0$	$-11$	$0$	$-22$			$\mathrm{SU}(2)[C_{22}]$
201.2.m.a	$201$	$2$	201.m	67.g	$33$	$100$	$5$	$1.605$		$_{}$	None	None		$2$	$0$	$2$	$10$	$-2$	$1$			$\mathrm{SU}(2)[C_{33}]$
201.2.m.b	$201$	$2$	201.m	67.g	$33$	$120$	$6$	$1.605$		$_{}$	None	None		$2$	$0$	$2$	$-12$	$2$	$5$			$\mathrm{SU}(2)[C_{33}]$
201.2.p.a	$201$	$2$	201.p	201.p	$66$	$20$	$1$	$1.605$	$\Q(\zeta_{33})$	$_{}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-6$		$1$	$\mathrm{U}(1)[D_{66}]$	$q+(2\zeta_{33}+\zeta_{33}^{12})q^{3}-2\zeta_{33}^{4}q^{4}+\cdots$
201.2.p.b	$201$	$2$	201.p	201.p	$66$	$400$	$20$	$1.605$		$_{}$	None	None		$4$	$0$	$0$	$-22$	$0$	$-38$			$\mathrm{SU}(2)[C_{66}]$
201.3.b.a	$201$	$3$	201.b	67.b	$2$	$22$	$22$	$5.477$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
201.3.c.a	$201$	$3$	201.c	3.b	$2$	$44$	$44$	$5.477$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$8$			$\mathrm{SU}(2)[C_{2}]$
201.3.g.a	$201$	$3$	201.g	201.g	$6$	$2$	$1$	$5.477$	$\Q(\sqrt{-3}) $	$_{}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-6$	$0$	$-2$		$1$	$\mathrm{U}(1)[D_{6}]$	$q-3q^{3}+(-4+4\zeta_{6})q^{4}+(-2+2\zeta_{6})q^{7}+\cdots$
201.3.g.b	$201$	$3$	201.g	201.g	$6$	$84$	$42$	$5.477$		$_{}$	None	None		$4$	$0$	$0$	$-6$	$0$	$-10$			$\mathrm{SU}(2)[C_{6}]$
201.3.h.a	$201$	$3$	201.h	67.d	$6$	$22$	$11$	$5.477$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-15$			$\mathrm{SU}(2)[C_{6}]$
201.3.h.b	$201$	$3$	201.h	67.d	$6$	$24$	$12$	$5.477$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$21$			$\mathrm{SU}(2)[C_{6}]$
201.3.k.a	$201$	$3$	201.k	201.k	$22$	$440$	$44$	$5.477$		$_{}$	None	None		$4$	$0$	$0$	$-11$	$0$	$-30$			$\mathrm{SU}(2)[C_{22}]$
201.3.l.a	$201$	$3$	201.l	67.f	$22$	$220$	$22$	$5.477$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{22}]$
201.3.n.a	$201$	$3$	201.n	67.h	$66$	$220$	$11$	$5.477$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$15$			$\mathrm{SU}(2)[C_{66}]$
201.3.n.b	$201$	$3$	201.n	67.h	$66$	$240$	$12$	$5.477$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-21$			$\mathrm{SU}(2)[C_{66}]$
201.3.o.a	$201$	$3$	201.o	201.o	$66$	$20$	$1$	$5.477$	$\Q(\zeta_{33})$	$_{}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$6$	$0$	$2$		$1$	$\mathrm{U}(1)[D_{66}]$	$q+(3\zeta_{33}^{2}+3\zeta_{33}^{13})q^{3}+4\zeta_{33}^{8}q^{4}+\cdots$
201.3.o.b	$201$	$3$	201.o	201.o	$66$	$840$	$42$	$5.477$		$_{}$	None	None		$4$	$0$	$0$	$-16$	$0$	$-34$			$\mathrm{SU}(2)[C_{66}]$
201.4.a.a	$201$	$4$	201.a	1.a	$1$	$1$	$1$	$11.859$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-4$	$-3$	$-19$	$13$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{2}-3q^{3}+8q^{4}-19q^{5}+12q^{6}+\cdots$
201.4.a.b	$201$	$4$	201.a	1.a	$1$	$6$	$6$	$11.859$	$\mathbb{Q}[x]/(x^{6} - \cdots)$	$_{}$	None	None	✓	$1$	$1$	$-5$	$18$	$-12$	$-62$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+3q^{3}+(2-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$
201.4.a.c	$201$	$4$	201.a	1.a	$1$	$7$	$7$	$11.859$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	$_{}$	None	None	✓	$1$	$1$	$-1$	$-21$	$11$	$-33$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-3q^{3}+(3+\beta _{1}+\beta _{2})q^{4}+\cdots$
201.4.a.d	$201$	$4$	201.a	1.a	$1$	$9$	$9$	$11.859$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	$_{}$	None	None	✓	$1$	$0$	$3$	$-27$	$12$	$8$	$+$	$2^{3}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-3q^{3}+(5+\beta _{1}+\beta _{2})q^{4}+\cdots$
201.4.a.e	$201$	$4$	201.a	1.a	$1$	$11$	$11$	$11.859$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	$_{}$	None	None	✓	$1$	$0$	$3$	$33$	$8$	$78$	$+$	$2^{5}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+3q^{3}+(6+\beta _{2})q^{4}+(1-\beta _{3}+\cdots)q^{5}+\cdots$
201.4.d.a	$201$	$4$	201.d	201.d	$2$	$2$	$2$	$11.859$	$\Q(\sqrt{-3}) $	$_{}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$2\cdot 3$	$\mathrm{U}(1)[D_{2}]$	$q-\zeta_{6}q^{3}-8q^{4}-6\zeta_{6}q^{7}-3^{3}q^{9}+\cdots$
201.4.d.b	$201$	$4$	201.d	201.d	$2$	$64$	$64$	$11.859$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
201.4.e.a	$201$	$4$	201.e	67.c	$3$	$32$	$16$	$11.859$		$_{}$	None	None		$2$	$0$	$2$	$96$	$4$	$-14$			$\mathrm{SU}(2)[C_{3}]$
201.4.e.b	$201$	$4$	201.e	67.c	$3$	$36$	$18$	$11.859$		$_{}$	None	None		$2$	$0$	$2$	$-108$	$-4$	$22$			$\mathrm{SU}(2)[C_{3}]$
201.4.f.a	$201$	$4$	201.f	201.f	$6$	$132$	$66$	$11.859$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$-66$			$\mathrm{SU}(2)[C_{6}]$
201.4.i.a	$201$	$4$	201.i	67.e	$11$	$170$	$17$	$11.859$		$_{}$	None	None		$2$	$0$	$2$	$-51$	$4$	$-16$			$\mathrm{SU}(2)[C_{11}]$
201.4.i.b	$201$	$4$	201.i	67.e	$11$	$170$	$17$	$11.859$		$_{}$	None	None		$2$	$0$	$2$	$51$	$-4$	$12$			$\mathrm{SU}(2)[C_{11}]$
201.4.j.a	$201$	$4$	201.j	201.j	$22$	$20$	$2$	$11.859$	$\Q(\zeta_{33})$	$_{}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{10}\cdot 3^{10}$	$\mathrm{U}(1)[D_{22}]$	$q+\zeta_{33}^{18}q^{3}+(8+8\zeta_{33}+8\zeta_{33}^{2}+\cdots)q^{4}+\cdots$
201.4.j.b	$201$	$4$	201.j	201.j	$22$	$640$	$64$	$11.859$		$_{}$	None	None		$4$	$0$	$0$	$-11$	$0$	$-22$			$\mathrm{SU}(2)[C_{22}]$
201.4.m.a	$201$	$4$	201.m	67.g	$33$	$320$	$16$	$11.859$		$_{}$	None	None		$2$	$0$	$-2$	$-96$	$-4$	$14$			$\mathrm{SU}(2)[C_{33}]$
201.4.m.b	$201$	$4$	201.m	67.g	$33$	$360$	$18$	$11.859$		$_{}$	None	None		$2$	$0$	$-2$	$108$	$4$	$-22$			$\mathrm{SU}(2)[C_{33}]$
201.4.p.a	$201$	$4$	201.p	201.p	$66$	$1320$	$66$	$11.859$		$_{}$	None	None		$4$	$0$	$0$	$-22$	$0$	$22$			$\mathrm{SU}(2)[C_{66}]$
201.5.b.a	$201$	$5$	201.b	67.b	$2$	$46$	$46$	$20.777$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$

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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.