LMFDB - Newform search results

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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 106 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	7	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
22743.2.a.a	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-4$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-4q^{5}-q^{7}+3q^{8}+4q^{10}+\cdots$
22743.2.a.b	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-3$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-3q^{5}+q^{7}+3q^{8}+3q^{10}+\cdots$
22743.2.a.c	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-2$	$-1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-2q^{5}-q^{7}+3q^{8}+2q^{10}+\cdots$
22743.2.a.d	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+q^{7}+3q^{8}+2q^{11}-q^{14}+\cdots$
22743.2.a.e	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+q^{7}+3q^{8}+2q^{11}+6q^{13}+\cdots$
22743.2.a.f	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$2$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+2q^{5}-q^{7}+3q^{8}-2q^{10}+\cdots$
22743.2.a.g	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$2$	$-1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+2q^{5}-q^{7}+3q^{8}-2q^{10}+\cdots$
22743.2.a.h	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$3$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{5}+q^{7}+3q^{8}-3q^{10}+\cdots$
22743.2.a.i	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$4$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+4q^{5}-q^{7}+3q^{8}-4q^{10}+\cdots$
22743.2.a.j	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$1$	$0$	$-3$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{5}+q^{7}-3q^{8}-3q^{10}+\cdots$
22743.2.a.k	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$1$	$0$	$-2$	$-1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-2q^{5}-q^{7}-3q^{8}-2q^{10}+\cdots$
22743.2.a.l	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-q^{7}-3q^{8}+2q^{11}+4q^{13}+\cdots$
22743.2.a.m	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{7}-3q^{8}-2q^{11}+6q^{13}+\cdots$
22743.2.a.n	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$1$	$0$	$2$	$-1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+2q^{5}-q^{7}-3q^{8}+2q^{10}+\cdots$
22743.2.a.o	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$1$	$0$	$3$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+3q^{5}+q^{7}-3q^{8}+3q^{10}+\cdots$
22743.2.a.p	$22743$	$2$	22743.a	1.a	$1$	$1$	$1$	$181.604$	$\Q$	None	✓	?				$-1$		$1$	$0$	$4$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+4q^{5}-q^{7}-3q^{8}+4q^{10}+\cdots$
22743.2.a.q	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-3$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22743.2.a.r	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$0$	$-3$	$-2$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22743.2.a.s	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$0$	$4$	$2$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22743.2.a.t	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-1$	$0$	$-2$	$2$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22743.2.a.u	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-1$	$0$	$4$	$-2$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22743.2.a.v	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{13}) $	None	✓	?				$-1$		$-1$	$0$	$6$	$2$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22743.2.a.w	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{3}) $	not computed	✓	?				$-1$		$0$	$0$	$0$	$2$	$+$	$-$	$-$	$+$
22743.2.a.x	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{5}) $	not computed	✓	?				$-1$		$0$	$0$	$-4$	$-2$	$+$	$+$	$+$	$+$
22743.2.a.y	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{5}) $	not computed	✓	?				$-1$		$0$	$0$	$4$	$-2$	$+$	$+$	$+$	$+$
22743.2.a.z	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$1$	$0$	$-2$	$2$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22743.2.a.ba	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$1$	$0$	$-2$	$2$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22743.2.a.bb	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$1$	$0$	$4$	$-2$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22743.2.a.bc	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$0$	$-3$	$-2$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22743.2.a.bd	$22743$	$2$	22743.a	1.a	$1$	$2$	$2$	$181.604$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$0$	$-4$	$2$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22743.2.a.be	$22743$	$2$	22743.a	1.a	$1$	$3$	$3$	$181.604$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$-3$	$0$	$0$	$-3$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
22743.2.a.bf	$22743$	$2$	22743.a	1.a	$1$	$3$	$3$	$181.604$	3.3.321.1	None	✓	?				$-1$		$-2$	$0$	$3$	$3$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22743.2.a.bg	$22743$	$2$	22743.a	1.a	$1$	$3$	$3$	$181.604$	3.3.148.1	None	✓	?				$-1$		$-1$	$0$	$-2$	$3$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22743.2.a.bh	$22743$	$2$	22743.a	1.a	$1$	$3$	$3$	$181.604$	3.3.148.1	None	✓	?				$-1$		$1$	$0$	$-4$	$-3$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22743.2.a.bi	$22743$	$2$	22743.a	1.a	$1$	$3$	$3$	$181.604$	3.3.148.1	None	✓	?				$-1$		$1$	$0$	$-2$	$3$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22743.2.a.bj	$22743$	$2$	22743.a	1.a	$1$	$3$	$3$	$181.604$	3.3.404.1	None	✓	?				$-1$		$1$	$0$	$0$	$-3$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22743.2.a.bk	$22743$	$2$	22743.a	1.a	$1$	$3$	$3$	$181.604$	3.3.321.1	None	✓	?				$-1$		$2$	$0$	$3$	$3$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22743.2.a.bl	$22743$	$2$	22743.a	1.a	$1$	$3$	$3$	$181.604$	3.3.229.1	None	✓	?				$-1$		$2$	$0$	$2$	$-3$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22743.2.a.bm	$22743$	$2$	22743.a	1.a	$1$	$3$	$3$	$181.604$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$3$	$0$	$0$	$-3$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22743.2.a.bn	$22743$	$2$	22743.a	1.a	$1$	$4$	$4$	$181.604$	4.4.6224.1	None	✓	?				$-1$		$-2$	$0$	$-6$	$-4$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
22743.2.a.bo	$22743$	$2$	22743.a	1.a	$1$	$4$	$4$	$181.604$	4.4.1957.1	None	✓	?				$-1$		$-1$	$0$	$2$	$-4$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22743.2.a.bp	$22743$	$2$	22743.a	1.a	$1$	$4$	$4$	$181.604$	4.4.12197.1	None	✓	?				$-1$		$-1$	$0$	$2$	$4$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22743.2.a.bq	$22743$	$2$	22743.a	1.a	$1$	$4$	$4$	$181.604$	$\Q(\zeta_{24})^+$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-4$	$+$	$+$	$-$	$-$
22743.2.a.br	$22743$	$2$	22743.a	1.a	$1$	$4$	$4$	$181.604$	$\Q(\zeta_{20})^+$	not computed	✓	?				$-1$		$0$	$0$	$-12$	$-4$	$+$	$+$	$+$	$+$
22743.2.a.bs	$22743$	$2$	22743.a	1.a	$1$	$4$	$4$	$181.604$	$\Q(\zeta_{20})^+$	not computed	✓	?				$-1$		$0$	$0$	$12$	$-4$	$+$	$+$	$+$	$+$
22743.2.a.bt	$22743$	$2$	22743.a	1.a	$1$	$4$	$4$	$181.604$	4.4.7600.1	not computed	✓	?				$-1$		$0$	$0$	$0$	$-4$	$+$	$+$	$-$	$-$
22743.2.a.bu	$22743$	$2$	22743.a	1.a	$1$	$4$	$4$	$181.604$	4.4.7600.1	not computed	✓	?				$-1$		$0$	$0$	$0$	$-4$	$+$	$+$	$-$	$-$
22743.2.a.bv	$22743$	$2$	22743.a	1.a	$1$	$4$	$4$	$181.604$	4.4.240944.1	not computed	✓	?				$-1$		$0$	$0$	$4$	$-4$	$-$	$+$	$+$	$-$
22743.2.a.bw	$22743$	$2$	22743.a	1.a	$1$	$4$	$4$	$181.604$	4.4.1957.1	None	✓	?				$-1$		$1$	$0$	$2$	$-4$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
22743.2.a.bx	$22743$	$2$	22743.a	1.a	$1$	$4$	$4$	$181.604$	4.4.12197.1	None	✓	?				$-1$		$1$	$0$	$2$	$4$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$

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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.