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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 (1-50 of 64 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	5	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
28900.2.a.a	$28900$	$2$	28900.a	1.a	$1$	$1$	$1$	$230.768$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$0$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-2q^{7}+q^{9}+5q^{11}-6q^{13}+\cdots$
28900.2.a.b	$28900$	$2$	28900.a	1.a	$1$	$1$	$1$	$230.768$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+2q^{7}+q^{9}-2q^{13}-4q^{19}+\cdots$
28900.2.a.c	$28900$	$2$	28900.a	1.a	$1$	$1$	$1$	$230.768$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}-2q^{9}-q^{13}-4q^{19}+\cdots$
28900.2.a.d	$28900$	$2$	28900.a	1.a	$1$	$1$	$1$	$230.768$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$0$	$3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{7}-2q^{9}-6q^{11}-6q^{13}+\cdots$
28900.2.a.e	$28900$	$2$	28900.a	1.a	$1$	$1$	$1$	$230.768$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$0$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{7}-2q^{9}+6q^{11}+6q^{13}+\cdots$
28900.2.a.f	$28900$	$2$	28900.a	1.a	$1$	$1$	$1$	$230.768$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-3q^{9}-2q^{11}+6q^{13}+6q^{29}+\cdots$
28900.2.a.g	$28900$	$2$	28900.a	1.a	$1$	$1$	$1$	$230.768$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-3q^{9}-q^{11}+3q^{19}-3q^{29}+\cdots$
28900.2.a.h	$28900$	$2$	28900.a	1.a	$1$	$1$	$1$	$230.768$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-3q^{9}+q^{11}+3q^{19}+3q^{29}+\cdots$
28900.2.a.i	$28900$	$2$	28900.a	1.a	$1$	$1$	$1$	$230.768$	$\Q$	None	✓	?				$-1$		$0$	$1$	$0$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{7}-2q^{9}-6q^{11}+6q^{13}+\cdots$
28900.2.a.j	$28900$	$2$	28900.a	1.a	$1$	$1$	$1$	$230.768$	$\Q$	None	✓	?				$-1$		$0$	$1$	$0$	$-3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{7}-2q^{9}+6q^{11}-6q^{13}+\cdots$
28900.2.a.k	$28900$	$2$	28900.a	1.a	$1$	$1$	$1$	$230.768$	$\Q$	None	✓	?				$-1$		$0$	$1$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}-2q^{9}+q^{13}-4q^{19}+\cdots$
28900.2.a.l	$28900$	$2$	28900.a	1.a	$1$	$1$	$1$	$230.768$	$\Q$	None	✓	?				$-1$		$0$	$2$	$0$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+2q^{7}+q^{9}-5q^{11}-6q^{13}+\cdots$
28900.2.a.m	$28900$	$2$	28900.a	1.a	$1$	$2$	$2$	$230.768$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$-2$	$0$	$-2$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
28900.2.a.n	$28900$	$2$	28900.a	1.a	$1$	$2$	$2$	$230.768$	$\Q(\sqrt{21}) $	None	✓	?				$-1$		$0$	$-1$	$0$	$-5$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.o	$28900$	$2$	28900.a	1.a	$1$	$2$	$2$	$230.768$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.p	$28900$	$2$	28900.a	1.a	$1$	$2$	$2$	$230.768$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
28900.2.a.q	$28900$	$2$	28900.a	1.a	$1$	$2$	$2$	$230.768$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
28900.2.a.r	$28900$	$2$	28900.a	1.a	$1$	$2$	$2$	$230.768$	$\Q(\sqrt{21}) $	None	✓	?				$-1$		$0$	$1$	$0$	$5$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
28900.2.a.s	$28900$	$2$	28900.a	1.a	$1$	$2$	$2$	$230.768$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$2$	$0$	$-2$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.t	$28900$	$2$	28900.a	1.a	$1$	$2$	$2$	$230.768$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$2$	$0$	$2$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.u	$28900$	$2$	28900.a	1.a	$1$	$3$	$3$	$230.768$	3.3.785.1	None	✓	?				$-1$		$0$	$-3$	$0$	$1$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
28900.2.a.v	$28900$	$2$	28900.a	1.a	$1$	$3$	$3$	$230.768$	3.3.785.1	None	✓	?				$-1$		$0$	$-3$	$0$	$1$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
28900.2.a.w	$28900$	$2$	28900.a	1.a	$1$	$3$	$3$	$230.768$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$-3$	$0$	$6$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.x	$28900$	$2$	28900.a	1.a	$1$	$3$	$3$	$230.768$	3.3.1524.1	None	✓	?				$-1$		$0$	$-2$	$0$	$-4$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.y	$28900$	$2$	28900.a	1.a	$1$	$3$	$3$	$230.768$	3.3.785.1	None	✓	?				$-1$		$0$	$-1$	$0$	$1$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
28900.2.a.z	$28900$	$2$	28900.a	1.a	$1$	$3$	$3$	$230.768$	3.3.785.1	None	✓	?				$-1$		$0$	$-1$	$0$	$1$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.ba	$28900$	$2$	28900.a	1.a	$1$	$3$	$3$	$230.768$	3.3.404.1	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.bb	$28900$	$2$	28900.a	1.a	$1$	$3$	$3$	$230.768$	3.3.785.1	None	✓	?				$-1$		$0$	$1$	$0$	$-1$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
28900.2.a.bc	$28900$	$2$	28900.a	1.a	$1$	$3$	$3$	$230.768$	3.3.785.1	None	✓	?				$-1$		$0$	$1$	$0$	$-1$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
28900.2.a.bd	$28900$	$2$	28900.a	1.a	$1$	$3$	$3$	$230.768$	3.3.1524.1	None	✓	?				$-1$		$0$	$2$	$0$	$4$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.be	$28900$	$2$	28900.a	1.a	$1$	$3$	$3$	$230.768$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$3$	$0$	$-6$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
28900.2.a.bf	$28900$	$2$	28900.a	1.a	$1$	$3$	$3$	$230.768$	3.3.785.1	None	✓	?				$-1$		$0$	$3$	$0$	$-1$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.bg	$28900$	$2$	28900.a	1.a	$1$	$3$	$3$	$230.768$	3.3.785.1	None	✓	?				$-1$		$0$	$3$	$0$	$-1$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
28900.2.a.bh	$28900$	$2$	28900.a	1.a	$1$	$4$	$4$	$230.768$	4.4.11344.1	None	✓	?				$-1$		$0$	$-2$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
28900.2.a.bi	$28900$	$2$	28900.a	1.a	$1$	$4$	$4$	$230.768$	$\Q(\zeta_{16})^+$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
28900.2.a.bj	$28900$	$2$	28900.a	1.a	$1$	$4$	$4$	$230.768$	$\Q(\sqrt{2}, \sqrt{13})$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.bk	$28900$	$2$	28900.a	1.a	$1$	$4$	$4$	$230.768$	4.4.11344.1	None	✓	?				$-1$		$0$	$2$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
28900.2.a.bl	$28900$	$2$	28900.a	1.a	$1$	$5$	$5$	$230.768$	5.5.27977168.1	None	✓	?				$-1$		$0$	$-1$	$0$	$-1$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
28900.2.a.bm	$28900$	$2$	28900.a	1.a	$1$	$5$	$5$	$230.768$	5.5.27977168.1	None	✓	?				$-1$		$0$	$1$	$0$	$1$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.bn	$28900$	$2$	28900.a	1.a	$1$	$6$	$6$	$230.768$	6.6.14414517.1	None	✓	?				$-1$		$0$	$-3$	$0$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
28900.2.a.bo	$28900$	$2$	28900.a	1.a	$1$	$6$	$6$	$230.768$	6.6.9521152.1	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.bp	$28900$	$2$	28900.a	1.a	$1$	$6$	$6$	$230.768$	6.6.336208896.1	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
28900.2.a.bq	$28900$	$2$	28900.a	1.a	$1$	$6$	$6$	$230.768$	6.6.336208896.1	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.br	$28900$	$2$	28900.a	1.a	$1$	$6$	$6$	$230.768$	6.6.3031603600.1	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
28900.2.a.bs	$28900$	$2$	28900.a	1.a	$1$	$6$	$6$	$230.768$	6.6.3031603600.1	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
28900.2.a.bt	$28900$	$2$	28900.a	1.a	$1$	$6$	$6$	$230.768$	6.6.9521152.1	None	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.bu	$28900$	$2$	28900.a	1.a	$1$	$6$	$6$	$230.768$	6.6.14414517.1	None	✓	?				$-1$		$0$	$3$	$0$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
28900.2.a.bv	$28900$	$2$	28900.a	1.a	$1$	$8$	$8$	$230.768$	8.8.$\cdots$.2	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
28900.2.a.bw	$28900$	$2$	28900.a	1.a	$1$	$12$	$12$	$230.768$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$0$	$-3$	$0$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
28900.2.a.bx	$28900$	$2$	28900.a	1.a	$1$	$12$	$12$	$230.768$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$0$	$0$	$0$	$-8$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$

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Elliptic 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.