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 229 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	5	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
27225.2.a.a	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-2$	$0$	$0$	$-3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-3q^{7}-2q^{13}+6q^{14}+\cdots$
27225.2.a.b	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-2$	$0$	$0$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-3q^{7}+q^{13}+6q^{14}+\cdots$
27225.2.a.c	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-2$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-q^{7}+2q^{13}+2q^{14}+\cdots$
27225.2.a.d	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-2$	$0$	$0$	$3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+3q^{7}+2q^{13}-6q^{14}+\cdots$
27225.2.a.e	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-3q^{7}+3q^{8}+2q^{13}+\cdots$
27225.2.a.f	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-2q^{7}+3q^{8}-2q^{13}+\cdots$
27225.2.a.g	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-2q^{7}+3q^{8}+q^{13}+2q^{14}+\cdots$
27225.2.a.h	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{7}+3q^{8}+2q^{13}+q^{14}+\cdots$
27225.2.a.i	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{7}+3q^{8}+2q^{13}+q^{14}+\cdots$
27225.2.a.j	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{8}-5q^{13}-q^{16}+\cdots$
27225.2.a.k	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{8}-5q^{13}-q^{16}+\cdots$
27225.2.a.l	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{8}+2q^{13}-q^{16}+\cdots$
27225.2.a.m	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{8}+5q^{13}-q^{16}+\cdots$
27225.2.a.n	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{8}+5q^{13}-q^{16}+\cdots$
27225.2.a.o	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+2q^{7}+3q^{8}-4q^{13}+\cdots$
27225.2.a.p	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{7}+3q^{8}-4q^{13}+\cdots$
27225.2.a.q	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{7}+3q^{8}-2q^{13}+\cdots$
27225.2.a.r	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+4q^{7}+3q^{8}-2q^{13}+\cdots$
27225.2.a.s	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+4q^{7}+3q^{8}+2q^{13}+\cdots$
27225.2.a.t	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+4q^{7}+3q^{8}+2q^{13}+\cdots$
27225.2.a.u	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-5$	$+$	$-$	$-$	$+$	$1$		$q-2q^{4}-5q^{7}-5q^{13}+4q^{16}+q^{19}+\cdots$
27225.2.a.v	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-5$	$+$	$+$	$-$	$-$	$1$		$q-2q^{4}-5q^{7}-2q^{13}+4q^{16}-7q^{19}+\cdots$
27225.2.a.w	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-5$	$+$	$-$	$-$	$+$	$1$		$q-2q^{4}-5q^{7}+7q^{13}+4q^{16}-8q^{19}+\cdots$
27225.2.a.x	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-5$	$+$	$+$	$-$	$-$	$1$		$q-2q^{4}-5q^{7}+7q^{13}+4q^{16}+8q^{19}+\cdots$
27225.2.a.y	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-q^{7}-q^{13}+4q^{16}+6q^{17}+\cdots$
27225.2.a.z	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-q^{7}+2q^{13}+4q^{16}-6q^{17}+\cdots$
27225.2.a.ba	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$1$		$q-2q^{4}+4q^{16}-9q^{23}-5q^{31}-7q^{37}+\cdots$
27225.2.a.bb	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{7}-2q^{13}+4q^{16}+6q^{17}+\cdots$
27225.2.a.bc	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{7}+q^{13}+4q^{16}-6q^{17}+\cdots$
27225.2.a.bd	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$5$	$+$	$+$	$-$	$-$	$1$		$q-2q^{4}+5q^{7}-7q^{13}+4q^{16}-8q^{19}+\cdots$
27225.2.a.be	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$5$	$+$	$-$	$-$	$+$	$1$		$q-2q^{4}+5q^{7}-7q^{13}+4q^{16}+8q^{19}+\cdots$
27225.2.a.bf	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$5$	$+$	$+$	$-$	$-$	$1$		$q-2q^{4}+5q^{7}+2q^{13}+4q^{16}+7q^{19}+\cdots$
27225.2.a.bg	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$5$	$+$	$+$	$-$	$-$	$1$		$q-2q^{4}+5q^{7}+5q^{13}+4q^{16}+q^{19}+\cdots$
27225.2.a.bh	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-4q^{7}-3q^{8}-2q^{13}+\cdots$
27225.2.a.bi	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-4q^{7}-3q^{8}-2q^{13}+\cdots$
27225.2.a.bj	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$-3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{7}-3q^{8}+2q^{13}+\cdots$
27225.2.a.bk	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{7}-3q^{8}+4q^{13}+\cdots$
27225.2.a.bl	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-2q^{7}-3q^{8}-2q^{13}+\cdots$
27225.2.a.bm	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-2q^{7}-3q^{8}+4q^{13}+\cdots$
27225.2.a.bn	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{8}-5q^{13}-q^{16}+\cdots$
27225.2.a.bo	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{8}-5q^{13}-q^{16}+\cdots$
27225.2.a.bp	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{8}-2q^{13}-q^{16}+\cdots$
27225.2.a.bq	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{8}+5q^{13}-q^{16}+\cdots$
27225.2.a.br	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{8}+5q^{13}-q^{16}+\cdots$
27225.2.a.bs	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{7}-3q^{8}-2q^{13}+q^{14}+\cdots$
27225.2.a.bt	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{7}-3q^{8}-2q^{13}+q^{14}+\cdots$
27225.2.a.bu	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+2q^{7}-3q^{8}-q^{13}+2q^{14}+\cdots$
27225.2.a.bv	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+3q^{7}-3q^{8}-2q^{13}+\cdots$
27225.2.a.bw	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$2$	$0$	$0$	$-3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-3q^{7}-2q^{13}-6q^{14}+\cdots$
27225.2.a.bx	$27225$	$2$	27225.a	1.a	$1$	$1$	$1$	$217.393$	$\Q$	None	✓	?				$-1$		$2$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-2q^{7}+4q^{13}-4q^{14}+\cdots$

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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.