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 108 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	5	29	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
25230.2.a.a	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
25230.2.a.b	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
25230.2.a.c	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$-4$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-4q^{7}+\cdots$
25230.2.a.d	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$-2$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots$
25230.2.a.e	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
25230.2.a.f	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$2$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+2q^{7}+\cdots$
25230.2.a.g	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$-2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-2q^{7}+\cdots$
25230.2.a.h	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$-2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-2q^{7}+\cdots$
25230.2.a.i	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$-2$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-2q^{7}+\cdots$
25230.2.a.j	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$-4$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-4q^{7}+\cdots$
25230.2.a.k	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$-4$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-4q^{7}+\cdots$
25230.2.a.l	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$-3$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots$
25230.2.a.m	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
25230.2.a.n	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$4$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+4q^{7}+\cdots$
25230.2.a.o	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$-4$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-4q^{7}+\cdots$
25230.2.a.p	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$-2$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-2q^{7}+\cdots$
25230.2.a.q	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$-2$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-2q^{7}+\cdots$
25230.2.a.r	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots$
25230.2.a.s	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$-4$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-4q^{7}+\cdots$
25230.2.a.t	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$-4$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-4q^{7}+\cdots$
25230.2.a.u	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$-3$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots$
25230.2.a.v	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
25230.2.a.w	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
25230.2.a.x	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
25230.2.a.y	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
25230.2.a.z	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$-4$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-4q^{7}+\cdots$
25230.2.a.ba	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$
25230.2.a.bb	$25230$	$2$	25230.a	1.a	$1$	$1$	$1$	$201.463$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
25230.2.a.bc	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$-2$	$-2$	$2$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25230.2.a.bd	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$-2$	$2$	$-1$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25230.2.a.be	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$-2$	$2$	$2$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25230.2.a.bf	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$-1$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
25230.2.a.bg	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$0$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25230.2.a.bh	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{33}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$1$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
25230.2.a.bi	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$2$	$2$	$-3$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25230.2.a.bj	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{6}) $	None	✓	?				$-1$		$-2$	$2$	$2$	$4$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25230.2.a.bk	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$2$	$2$	$5$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25230.2.a.bl	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$-2$	$-2$	$-1$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25230.2.a.bm	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{33}) $	None	✓	?				$-1$		$2$	$-2$	$-2$	$1$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25230.2.a.bn	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$-2$	$2$	$-3$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25230.2.a.bo	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{6}) $	None	✓	?				$-1$		$2$	$-2$	$2$	$4$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25230.2.a.bp	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$-2$	$2$	$5$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25230.2.a.bq	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{13}) $	None	✓	?				$-1$		$2$	$2$	$-2$	$-2$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25230.2.a.br	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$2$	$2$	$-1$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25230.2.a.bs	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$2$	$2$	$2$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25230.2.a.bt	$25230$	$2$	25230.a	1.a	$1$	$2$	$2$	$201.463$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$2$	$2$	$4$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25230.2.a.bu	$25230$	$2$	25230.a	1.a	$1$	$3$	$3$	$201.463$	3.3.148.1	None	✓	?				$-1$		$-3$	$-3$	$-3$	$0$	$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25230.2.a.bv	$25230$	$2$	25230.a	1.a	$1$	$3$	$3$	$201.463$	3.3.1436.1	None	✓	?				$-1$		$-3$	$-3$	$-3$	$1$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25230.2.a.bw	$25230$	$2$	25230.a	1.a	$1$	$3$	$3$	$201.463$	3.3.1016.1	None	✓	?				$-1$		$-3$	$-3$	$3$	$1$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25230.2.a.bx	$25230$	$2$	25230.a	1.a	$1$	$3$	$3$	$201.463$	3.3.7628.1	None	✓	?				$-1$		$-3$	$3$	$-3$	$1$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
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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.