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 112 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	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$ -expansion
10944.2.a.a	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-4$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}-3q^{7}-2q^{11}+q^{13}-3q^{17}+\cdots$
10944.2.a.b	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-4$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}-6q^{11}-2q^{13}+4q^{17}-q^{19}+\cdots$
10944.2.a.c	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-4$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}+6q^{11}-2q^{13}+4q^{17}+q^{19}+\cdots$
10944.2.a.d	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-4$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}+3q^{7}+2q^{11}+q^{13}-3q^{17}+\cdots$
10944.2.a.e	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$-5$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-5q^{7}+q^{11}-2q^{13}+q^{17}+\cdots$
10944.2.a.f	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$-3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-3q^{7}-q^{11}+2q^{13}+5q^{17}+\cdots$
10944.2.a.g	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-q^{7}+5q^{11}+6q^{13}+5q^{17}+\cdots$
10944.2.a.h	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+q^{7}-5q^{11}+6q^{13}+5q^{17}+\cdots$
10944.2.a.i	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+3q^{7}+q^{11}+2q^{13}+5q^{17}+\cdots$
10944.2.a.j	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$5$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+5q^{7}-q^{11}-2q^{13}+q^{17}+\cdots$
10944.2.a.k	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$-4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-4q^{7}-6q^{11}+4q^{13}-q^{19}+\cdots$
10944.2.a.l	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-4q^{7}+4q^{11}-2q^{13}-2q^{17}+\cdots$
10944.2.a.m	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-2q^{11}+4q^{13}+q^{19}+8q^{23}+\cdots$
10944.2.a.n	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-6q^{13}+6q^{17}-q^{19}+4q^{23}+\cdots$
10944.2.a.o	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-6q^{13}+6q^{17}+q^{19}-4q^{23}+\cdots$
10944.2.a.p	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+2q^{11}+4q^{13}-q^{19}-8q^{23}+\cdots$
10944.2.a.q	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+4q^{7}-4q^{11}-2q^{13}-2q^{17}+\cdots$
10944.2.a.r	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+4q^{7}+6q^{11}+4q^{13}+q^{19}+\cdots$
10944.2.a.s	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$-3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-3q^{7}-3q^{11}+4q^{13}-5q^{17}+\cdots$
10944.2.a.t	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$-3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-3q^{7}+5q^{11}+4q^{13}+3q^{17}+\cdots$
10944.2.a.u	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}-5q^{11}-4q^{13}+3q^{17}+\cdots$
10944.2.a.v	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}+3q^{11}+7q^{17}-q^{19}+\cdots$
10944.2.a.w	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}+3q^{11}+4q^{13}+3q^{17}+\cdots$
10944.2.a.x	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}-3q^{11}+7q^{17}+q^{19}+\cdots$
10944.2.a.y	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}-3q^{11}+4q^{13}+3q^{17}+\cdots$
10944.2.a.z	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}+5q^{11}-4q^{13}+3q^{17}+\cdots$
10944.2.a.ba	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+3q^{7}-5q^{11}+4q^{13}+3q^{17}+\cdots$
10944.2.a.bb	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+3q^{7}+3q^{11}+4q^{13}-5q^{17}+\cdots$
10944.2.a.bc	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-4q^{11}+2q^{17}+q^{19}-2q^{23}+\cdots$
10944.2.a.bd	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}+4q^{13}-6q^{17}-q^{19}+6q^{23}+\cdots$
10944.2.a.be	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}-2q^{11}-q^{13}+5q^{17}+q^{19}+\cdots$
10944.2.a.bf	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-6q^{11}-5q^{13}-3q^{17}-q^{19}+\cdots$
10944.2.a.bg	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{7}+2q^{11}+q^{13}-3q^{17}+q^{19}+\cdots$
10944.2.a.bh	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{11}+2q^{13}-4q^{17}+q^{19}+2q^{23}+\cdots$
10944.2.a.bi	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{11}+2q^{13}+4q^{17}-q^{19}+2q^{23}+\cdots$
10944.2.a.bj	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{17}-q^{19}-6q^{23}-5q^{25}+10q^{29}+\cdots$
10944.2.a.bk	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{17}+q^{19}+6q^{23}-5q^{25}+10q^{29}+\cdots$
10944.2.a.bl	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{11}+2q^{13}-4q^{17}-q^{19}-2q^{23}+\cdots$
10944.2.a.bm	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{11}+2q^{13}+4q^{17}+q^{19}-2q^{23}+\cdots$
10944.2.a.bn	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-2q^{11}+q^{13}-3q^{17}-q^{19}+\cdots$
10944.2.a.bo	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+6q^{11}-5q^{13}-3q^{17}+q^{19}+\cdots$
10944.2.a.bp	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{7}+2q^{11}-q^{13}+5q^{17}-q^{19}+\cdots$
10944.2.a.bq	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}+4q^{13}-6q^{17}+q^{19}-6q^{23}+\cdots$
10944.2.a.br	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}+4q^{11}+2q^{17}-q^{19}+2q^{23}+\cdots$
10944.2.a.bs	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$-3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-3q^{7}-5q^{11}+2q^{13}+q^{17}+\cdots$
10944.2.a.bt	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-3q^{7}+3q^{11}+6q^{13}-3q^{17}+\cdots$
10944.2.a.bu	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+3q^{7}-3q^{11}+6q^{13}-3q^{17}+\cdots$
10944.2.a.bv	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+3q^{7}+5q^{11}+2q^{13}+q^{17}+\cdots$
10944.2.a.bw	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-4q^{7}+6q^{11}+2q^{13}-6q^{17}+\cdots$
10944.2.a.bx	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$-4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-4q^{7}+6q^{11}+4q^{13}-q^{19}+\cdots$

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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.