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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	3	13	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
17784.2.a.a	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+q^{7}+6q^{11}-q^{13}+8q^{17}+\cdots$
17784.2.a.b	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$-4$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-4q^{7}-q^{13}-4q^{17}-q^{19}+\cdots$
17784.2.a.c	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+4q^{11}+q^{13}+6q^{17}-q^{19}+\cdots$
17784.2.a.d	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$2$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+2q^{7}+6q^{11}-q^{13}-q^{17}+\cdots$
17784.2.a.e	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$3$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+3q^{7}+3q^{11}+q^{13}-8q^{17}+\cdots$
17784.2.a.f	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}-3q^{11}+q^{13}-3q^{17}+\cdots$
17784.2.a.g	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$3$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+3q^{7}+2q^{11}-q^{13}+4q^{17}+\cdots$
17784.2.a.h	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-5$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-5q^{7}-q^{11}-q^{13}-2q^{17}-q^{19}+\cdots$
17784.2.a.i	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+4q^{11}-q^{13}+3q^{17}+q^{19}+\cdots$
17784.2.a.j	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{11}-q^{13}-7q^{17}+q^{19}+q^{23}+\cdots$
17784.2.a.k	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}+2q^{11}-q^{13}-2q^{17}-q^{19}+\cdots$
17784.2.a.l	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}+2q^{11}-q^{13}+6q^{17}+q^{19}+\cdots$
17784.2.a.m	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}+6q^{11}-q^{13}-2q^{17}-q^{19}+\cdots$
17784.2.a.n	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$3$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+3q^{7}+6q^{11}+q^{13}+4q^{17}+\cdots$
17784.2.a.o	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$-4$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-4q^{7}-q^{13}+4q^{17}-q^{19}+\cdots$
17784.2.a.p	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$-2$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-2q^{7}-2q^{11}+q^{13}+3q^{17}+\cdots$
17784.2.a.q	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$3$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+3q^{7}-3q^{11}+q^{13}+8q^{17}+\cdots$
17784.2.a.r	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$3$	$-5$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-5q^{7}-2q^{11}-q^{13}+q^{19}+\cdots$
17784.2.a.s	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$3$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-q^{7}+5q^{11}-q^{13}+3q^{17}+\cdots$
17784.2.a.t	$17784$	$2$	17784.a	1.a	$1$	$1$	$1$	$142.006$	$\Q$	None	✓	?				$-1$		$0$	$0$	$4$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}+4q^{11}+q^{13}-3q^{17}-q^{19}+\cdots$
17784.2.a.u	$17784$	$2$	17784.a	1.a	$1$	$2$	$2$	$142.006$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$0$	$0$	$-3$	$-3$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
17784.2.a.v	$17784$	$2$	17784.a	1.a	$1$	$2$	$2$	$142.006$	$\Q(\sqrt{10}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$2$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
17784.2.a.w	$17784$	$2$	17784.a	1.a	$1$	$2$	$2$	$142.006$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$0$	$0$	$-1$	$-1$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
17784.2.a.x	$17784$	$2$	17784.a	1.a	$1$	$2$	$2$	$142.006$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
17784.2.a.y	$17784$	$2$	17784.a	1.a	$1$	$2$	$2$	$142.006$	$\Q(\sqrt{41}) $	None	✓	?				$-1$		$0$	$0$	$0$	$-3$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
17784.2.a.z	$17784$	$2$	17784.a	1.a	$1$	$2$	$2$	$142.006$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$2$	$2$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
17784.2.a.ba	$17784$	$2$	17784.a	1.a	$1$	$2$	$2$	$142.006$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$0$	$0$	$3$	$-3$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
17784.2.a.bb	$17784$	$2$	17784.a	1.a	$1$	$3$	$3$	$142.006$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$0$	$0$	$-1$	$-9$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
17784.2.a.bc	$17784$	$2$	17784.a	1.a	$1$	$3$	$3$	$142.006$	3.3.169.1	None	✓	?				$-1$		$0$	$0$	$-1$	$-3$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
17784.2.a.bd	$17784$	$2$	17784.a	1.a	$1$	$3$	$3$	$142.006$	3.3.961.1	None	✓	?				$-1$		$0$	$0$	$-1$	$-1$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
17784.2.a.be	$17784$	$2$	17784.a	1.a	$1$	$3$	$3$	$142.006$	3.3.229.1	None	✓	?				$-1$		$0$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
17784.2.a.bf	$17784$	$2$	17784.a	1.a	$1$	$3$	$3$	$142.006$	3.3.229.1	None	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
17784.2.a.bg	$17784$	$2$	17784.a	1.a	$1$	$3$	$3$	$142.006$	3.3.316.1	None	✓	?				$-1$		$0$	$0$	$0$	$6$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
17784.2.a.bh	$17784$	$2$	17784.a	1.a	$1$	$3$	$3$	$142.006$	3.3.961.1	None	✓	?				$-1$		$0$	$0$	$1$	$2$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
17784.2.a.bi	$17784$	$2$	17784.a	1.a	$1$	$3$	$3$	$142.006$	3.3.961.1	None	✓	?				$-1$		$0$	$0$	$2$	$-4$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
17784.2.a.bj	$17784$	$2$	17784.a	1.a	$1$	$3$	$3$	$142.006$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$0$	$0$	$3$	$-5$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
17784.2.a.bk	$17784$	$2$	17784.a	1.a	$1$	$3$	$3$	$142.006$	3.3.1772.1	None	✓	?				$-1$		$0$	$0$	$3$	$-3$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
17784.2.a.bl	$17784$	$2$	17784.a	1.a	$1$	$4$	$4$	$142.006$	4.4.7232.1	None	✓	?				$-1$		$0$	$0$	$-4$	$-4$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
17784.2.a.bm	$17784$	$2$	17784.a	1.a	$1$	$4$	$4$	$142.006$	4.4.122825.1	None	✓	?				$-1$		$0$	$0$	$-2$	$-2$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
17784.2.a.bn	$17784$	$2$	17784.a	1.a	$1$	$4$	$4$	$142.006$	4.4.95948.1	None	✓	?				$-1$		$0$	$0$	$-2$	$2$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
17784.2.a.bo	$17784$	$2$	17784.a	1.a	$1$	$4$	$4$	$142.006$	4.4.26825.1	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
17784.2.a.bp	$17784$	$2$	17784.a	1.a	$1$	$4$	$4$	$142.006$	4.4.7232.1	None	✓	?				$-1$		$0$	$0$	$4$	$-4$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
17784.2.a.bq	$17784$	$2$	17784.a	1.a	$1$	$4$	$4$	$142.006$	4.4.153792.1	None	✓	?				$-1$		$0$	$0$	$4$	$0$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
17784.2.a.br	$17784$	$2$	17784.a	1.a	$1$	$4$	$4$	$142.006$	4.4.6809.1	None	✓	?				$-1$		$0$	$0$	$6$	$0$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
17784.2.a.bs	$17784$	$2$	17784.a	1.a	$1$	$5$	$5$	$142.006$	5.5.486337.1	None	✓	?				$-1$		$0$	$0$	$6$	$-4$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
17784.2.a.bt	$17784$	$2$	17784.a	1.a	$1$	$6$	$6$	$142.006$	6.6.916903264.1	None	✓	?				$-1$		$0$	$0$	$-2$	$7$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
17784.2.a.bu	$17784$	$2$	17784.a	1.a	$1$	$6$	$6$	$142.006$	6.6.120059552.1	None	✓	?				$-1$		$0$	$0$	$2$	$4$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
17784.2.a.bv	$17784$	$2$	17784.a	1.a	$1$	$7$	$7$	$142.006$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	?				$-1$		$0$	$0$	$-6$	$-5$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
17784.2.a.bw	$17784$	$2$	17784.a	1.a	$1$	$7$	$7$	$142.006$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	?	✓			$-1$		$0$	$0$	$-5$	$1$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
17784.2.a.bx	$17784$	$2$	17784.a	1.a	$1$	$7$	$7$	$142.006$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	?				$-1$		$0$	$0$	$-2$	$5$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$

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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.