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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 96 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	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
14976.2.a.a	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-q^{7}-4q^{11}+q^{13}+7q^{17}+\cdots$
14976.2.a.b	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-3$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+q^{7}+4q^{11}+q^{13}+7q^{17}+\cdots$
14976.2.a.c	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-4q^{7}-q^{13}+2q^{17}-6q^{19}+\cdots$
14976.2.a.d	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-4q^{7}+6q^{11}-q^{13}+2q^{17}+\cdots$
14976.2.a.e	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-2q^{7}+q^{13}-2q^{17}+4q^{23}+\cdots$
14976.2.a.f	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+2q^{7}+q^{13}-2q^{17}-4q^{23}+\cdots$
14976.2.a.g	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+4q^{7}-6q^{11}-q^{13}+2q^{17}+\cdots$
14976.2.a.h	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-2$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+4q^{7}-q^{13}+2q^{17}+6q^{19}+\cdots$
14976.2.a.i	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}-q^{13}+7q^{17}-6q^{19}+\cdots$
14976.2.a.j	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}+4q^{11}-q^{13}-q^{17}+\cdots$
14976.2.a.k	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}-4q^{11}-q^{13}-q^{17}+\cdots$
14976.2.a.l	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}-q^{13}+7q^{17}+6q^{19}+\cdots$
14976.2.a.m	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-4q^{11}-q^{13}-4q^{17}-6q^{19}+\cdots$
14976.2.a.n	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-4q^{11}+q^{13}+4q^{17}+6q^{19}+\cdots$
14976.2.a.o	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}+4q^{11}-q^{13}+4q^{17}-6q^{19}+\cdots$
14976.2.a.p	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}+4q^{11}+q^{13}-4q^{17}+6q^{19}+\cdots$
14976.2.a.q	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-4q^{11}-q^{13}+2q^{17}-4q^{19}+\cdots$
14976.2.a.r	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+4q^{11}+q^{13}+2q^{17}+4q^{19}+\cdots$
14976.2.a.s	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-4q^{11}+q^{13}+2q^{17}-4q^{19}+\cdots$
14976.2.a.t	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}+4q^{11}-q^{13}+2q^{17}+4q^{19}+\cdots$
14976.2.a.u	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}-4q^{11}-q^{13}+4q^{17}+6q^{19}+\cdots$
14976.2.a.v	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}-4q^{11}+q^{13}-4q^{17}-6q^{19}+\cdots$
14976.2.a.w	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}+4q^{11}-q^{13}-4q^{17}+6q^{19}+\cdots$
14976.2.a.x	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}+4q^{11}+q^{13}+4q^{17}-6q^{19}+\cdots$
14976.2.a.y	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$-1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{7}-4q^{11}+q^{13}-q^{17}+\cdots$
14976.2.a.z	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{7}+q^{13}+7q^{17}+6q^{19}+\cdots$
14976.2.a.ba	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}+q^{13}+7q^{17}-6q^{19}+\cdots$
14976.2.a.bb	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}+4q^{11}+q^{13}-q^{17}+\cdots$
14976.2.a.bc	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-4q^{7}-6q^{11}+q^{13}+2q^{17}+\cdots$
14976.2.a.bd	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-4q^{7}+q^{13}+2q^{17}+6q^{19}+\cdots$
14976.2.a.be	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-2q^{7}-q^{13}-2q^{17}+4q^{23}+\cdots$
14976.2.a.bf	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+2q^{7}-q^{13}-2q^{17}-4q^{23}+\cdots$
14976.2.a.bg	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+4q^{7}+q^{13}+2q^{17}-6q^{19}+\cdots$
14976.2.a.bh	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$2$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+4q^{7}+6q^{11}+q^{13}+2q^{17}+\cdots$
14976.2.a.bi	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$3$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-q^{7}+4q^{11}-q^{13}+7q^{17}+\cdots$
14976.2.a.bj	$14976$	$2$	14976.a	1.a	$1$	$1$	$1$	$119.584$	$\Q$	None	✓	?				$-1$		$0$	$0$	$3$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}+q^{7}-4q^{11}-q^{13}+7q^{17}+\cdots$
14976.2.a.bk	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$-2$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
14976.2.a.bl	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$-2$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
14976.2.a.bm	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$-2$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
14976.2.a.bn	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$-2$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
14976.2.a.bo	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$2$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
14976.2.a.bp	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$2$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
14976.2.a.bq	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$2$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
14976.2.a.br	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$0$	$-2$	$2$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
14976.2.a.bs	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$0$	$2$	$-2$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
14976.2.a.bt	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$0$	$2$	$-2$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
14976.2.a.bu	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$2$	$-2$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
14976.2.a.bv	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$0$	$2$	$-2$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
14976.2.a.bw	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$0$	$2$	$2$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
14976.2.a.bx	$14976$	$2$	14976.a	1.a	$1$	$2$	$2$	$119.584$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$2$	$2$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$

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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.