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 179 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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
21168.2.a.a	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-4$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}-4q^{11}-q^{13}+4q^{17}-q^{19}+\cdots$
21168.2.a.b	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-4$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}-4q^{11}+q^{13}-3q^{17}+2q^{19}+\cdots$
21168.2.a.c	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-4$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}-2q^{11}+q^{13}-6q^{17}-4q^{19}+\cdots$
21168.2.a.d	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-4$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}-2q^{11}+5q^{13}+6q^{17}+4q^{19}+\cdots$
21168.2.a.e	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-4$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}+2q^{11}-5q^{13}+6q^{17}-4q^{19}+\cdots$
21168.2.a.f	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-4$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}+2q^{11}-q^{13}-6q^{17}+4q^{19}+\cdots$
21168.2.a.g	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-4$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}+4q^{11}-3q^{13}+7q^{17}+2q^{19}+\cdots$
21168.2.a.h	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-6q^{11}+2q^{13}-7q^{17}+2q^{19}+\cdots$
21168.2.a.i	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-6q^{11}+4q^{13}-3q^{17}+2q^{19}+\cdots$
21168.2.a.j	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-5q^{11}-6q^{13}+6q^{17}+3q^{19}+\cdots$
21168.2.a.k	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-3q^{11}-2q^{13}+6q^{17}+5q^{19}+\cdots$
21168.2.a.l	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-2q^{11}-6q^{13}-3q^{17}-6q^{19}+\cdots$
21168.2.a.m	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-4q^{13}-6q^{17}+4q^{19}+6q^{23}+\cdots$
21168.2.a.n	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-2q^{13}-3q^{17}-4q^{19}-6q^{23}+\cdots$
21168.2.a.o	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+4q^{13}-6q^{17}-4q^{19}-6q^{23}+\cdots$
21168.2.a.p	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+2q^{11}+6q^{13}-3q^{17}+6q^{19}+\cdots$
21168.2.a.q	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+3q^{11}+4q^{13}-6q^{17}-7q^{19}+\cdots$
21168.2.a.r	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+3q^{11}+4q^{13}+2q^{19}+6q^{23}+\cdots$
21168.2.a.s	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+5q^{11}+6q^{13}+6q^{17}-3q^{19}+\cdots$
21168.2.a.t	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+6q^{11}-2q^{13}-7q^{17}-2q^{19}+\cdots$
21168.2.a.u	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-5q^{11}+6q^{13}-4q^{17}+4q^{19}+\cdots$
21168.2.a.v	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-4q^{11}-q^{13}+4q^{19}+6q^{23}+\cdots$
21168.2.a.w	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-3q^{11}-6q^{13}-4q^{17}+4q^{19}+\cdots$
21168.2.a.x	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-2q^{11}+q^{13}+3q^{17}-4q^{19}+\cdots$
21168.2.a.y	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-3q^{13}-4q^{17}+4q^{19}-2q^{23}+\cdots$
21168.2.a.z	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-2q^{13}+6q^{17}+q^{19}+2q^{23}+\cdots$
21168.2.a.ba	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+2q^{13}+6q^{17}-q^{19}-2q^{23}+\cdots$
21168.2.a.bb	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+3q^{13}-4q^{17}-4q^{19}+2q^{23}+\cdots$
21168.2.a.bc	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+2q^{11}-q^{13}+3q^{17}+4q^{19}+\cdots$
21168.2.a.bd	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+3q^{11}+6q^{13}-4q^{17}-4q^{19}+\cdots$
21168.2.a.be	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+4q^{11}+q^{13}-4q^{19}-6q^{23}+\cdots$
21168.2.a.bf	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+5q^{11}-6q^{13}-4q^{17}-4q^{19}+\cdots$
21168.2.a.bg	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-6q^{11}-4q^{13}+3q^{17}+2q^{19}+\cdots$
21168.2.a.bh	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-5q^{11}-2q^{17}-q^{19}+q^{23}+\cdots$
21168.2.a.bi	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-4q^{11}+2q^{13}+3q^{17}-8q^{19}+\cdots$
21168.2.a.bj	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-3q^{11}-2q^{17}+q^{19}-q^{23}+\cdots$
21168.2.a.bk	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{11}-5q^{17}+2q^{19}-2q^{23}+\cdots$
21168.2.a.bl	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{11}-2q^{13}-6q^{17}+5q^{19}+\cdots$
21168.2.a.bm	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{11}+4q^{13}+6q^{17}-q^{19}+\cdots$
21168.2.a.bn	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+6q^{13}+7q^{17}-8q^{19}+2q^{23}+\cdots$
21168.2.a.bo	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{11}+2q^{13}-6q^{17}-5q^{19}+\cdots$
21168.2.a.bp	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{11}+4q^{13}+3q^{17}+2q^{19}+\cdots$
21168.2.a.bq	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+5q^{11}-4q^{13}-8q^{17}+2q^{19}+\cdots$
21168.2.a.br	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-6q^{11}-5q^{13}-6q^{17}-4q^{19}+\cdots$
21168.2.a.bs	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-6q^{11}+5q^{13}+6q^{17}+4q^{19}+\cdots$
21168.2.a.bt	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$1$		$q-7q^{13}-8q^{19}-5q^{25}-11q^{31}+\cdots$
21168.2.a.bu	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-5q^{13}-3q^{17}+2q^{19}+9q^{23}+\cdots$
21168.2.a.bv	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$1$		$q-5q^{13}-7q^{19}-5q^{25}-4q^{31}+\cdots$
21168.2.a.bw	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$		$q-5q^{13}+8q^{19}-5q^{25}-7q^{31}+\cdots$
21168.2.a.bx	$21168$	$2$	21168.a	1.a	$1$	$1$	$1$	$169.027$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-5q^{13}+3q^{17}+2q^{19}-9q^{23}+\cdots$

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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.