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 81 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	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
12705.2.a.a	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$-2$	$-1$	$-1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}-q^{5}+2q^{6}+q^{7}+\cdots$
12705.2.a.b	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
12705.2.a.c	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
12705.2.a.d	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
12705.2.a.e	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
12705.2.a.f	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
12705.2.a.g	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
12705.2.a.h	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}+2q^{12}+\cdots$
12705.2.a.i	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}-2q^{12}+\cdots$
12705.2.a.j	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+q^{5}+q^{7}+q^{9}-2q^{12}+\cdots$
12705.2.a.k	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
12705.2.a.l	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
12705.2.a.m	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
12705.2.a.n	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
12705.2.a.o	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$2$	$-1$	$1$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}-q^{3}+2q^{4}+q^{5}-2q^{6}-q^{7}+\cdots$
12705.2.a.p	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$2$	$1$	$-1$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}+q^{7}+\cdots$
12705.2.a.q	$12705$	$2$	12705.a	1.a	$1$	$1$	$1$	$101.450$	$\Q$	None	✓	?				$-1$		$2$	$1$	$1$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}-q^{7}+\cdots$
12705.2.a.r	$12705$	$2$	12705.a	1.a	$1$	$2$	$2$	$101.450$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$-2$	$-2$	$-2$	$-2$	$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
12705.2.a.s	$12705$	$2$	12705.a	1.a	$1$	$2$	$2$	$101.450$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-1$	$-2$	$-2$	$-2$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
12705.2.a.t	$12705$	$2$	12705.a	1.a	$1$	$2$	$2$	$101.450$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-1$	$-2$	$2$	$-2$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
12705.2.a.u	$12705$	$2$	12705.a	1.a	$1$	$2$	$2$	$101.450$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-1$	$2$	$-2$	$2$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
12705.2.a.v	$12705$	$2$	12705.a	1.a	$1$	$2$	$2$	$101.450$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$-2$	$-2$	$2$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
12705.2.a.w	$12705$	$2$	12705.a	1.a	$1$	$2$	$2$	$101.450$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$-2$	$-2$	$-2$	$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
12705.2.a.x	$12705$	$2$	12705.a	1.a	$1$	$2$	$2$	$101.450$	$\Q(\sqrt{6}) $	None	✓	?				$-1$		$0$	$2$	$2$	$-2$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
12705.2.a.y	$12705$	$2$	12705.a	1.a	$1$	$2$	$2$	$101.450$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$1$	$-2$	$-2$	$2$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
12705.2.a.z	$12705$	$2$	12705.a	1.a	$1$	$2$	$2$	$101.450$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$1$	$-2$	$2$	$2$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
12705.2.a.ba	$12705$	$2$	12705.a	1.a	$1$	$2$	$2$	$101.450$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$1$	$-2$	$2$	$2$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
12705.2.a.bb	$12705$	$2$	12705.a	1.a	$1$	$2$	$2$	$101.450$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$1$	$2$	$-2$	$-2$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
12705.2.a.bc	$12705$	$2$	12705.a	1.a	$1$	$3$	$3$	$101.450$	3.3.316.1	None	✓	?				$-1$		$-1$	$-3$	$3$	$3$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
12705.2.a.bd	$12705$	$2$	12705.a	1.a	$1$	$3$	$3$	$101.450$	3.3.316.1	None	✓	?				$-1$		$-1$	$3$	$3$	$3$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
12705.2.a.be	$12705$	$2$	12705.a	1.a	$1$	$3$	$3$	$101.450$	3.3.756.1	None	✓	?				$-1$		$0$	$3$	$-3$	$-3$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
12705.2.a.bf	$12705$	$2$	12705.a	1.a	$1$	$3$	$3$	$101.450$	3.3.756.1	None	✓	?				$-1$		$0$	$3$	$-3$	$3$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
12705.2.a.bg	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.1957.1	None	✓	?				$-1$		$-4$	$4$	$4$	$4$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
12705.2.a.bh	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.7053.1	None	✓	?				$-1$		$-2$	$-4$	$-4$	$-4$	$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
12705.2.a.bi	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.7232.1	None	✓	?				$-1$		$-2$	$-4$	$4$	$-4$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
12705.2.a.bj	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.11661.1	None	✓	?				$-1$		$-2$	$4$	$4$	$4$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
12705.2.a.bk	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.17428.1	None	✓	?				$-1$		$-1$	$-4$	$4$	$4$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
12705.2.a.bl	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.25893.1	None	✓	?				$-1$		$0$	$-4$	$-4$	$-4$	$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
12705.2.a.bm	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.25893.1	None	✓	?				$-1$		$0$	$-4$	$-4$	$4$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
12705.2.a.bn	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.59749.1	None	✓	?				$-1$		$0$	$-4$	$4$	$-4$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
12705.2.a.bo	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.59749.1	None	✓	?				$-1$		$0$	$-4$	$4$	$4$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
12705.2.a.bp	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.13448.1	None	✓	?				$-1$		$0$	$4$	$-4$	$4$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
12705.2.a.bq	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.17428.1	None	✓	?				$-1$		$1$	$-4$	$4$	$-4$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
12705.2.a.br	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.7053.1	None	✓	?				$-1$		$2$	$-4$	$-4$	$4$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
12705.2.a.bs	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.11661.1	None	✓	?				$-1$		$2$	$4$	$4$	$-4$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
12705.2.a.bt	$12705$	$2$	12705.a	1.a	$1$	$4$	$4$	$101.450$	4.4.1957.1	None	✓	?				$-1$		$4$	$4$	$4$	$-4$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
12705.2.a.bu	$12705$	$2$	12705.a	1.a	$1$	$5$	$5$	$101.450$	5.5.352076.1	None	✓	?				$-1$		$-1$	$5$	$-5$	$-5$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
12705.2.a.bv	$12705$	$2$	12705.a	1.a	$1$	$6$	$6$	$101.450$	6.6.966125.1	None	✓	?	✓			$-1$		$-3$	$-6$	$-6$	$6$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
12705.2.a.bw	$12705$	$2$	12705.a	1.a	$1$	$6$	$6$	$101.450$	6.6.43099568.1	None	✓	?				$-1$		$-3$	$6$	$6$	$-6$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
12705.2.a.bx	$12705$	$2$	12705.a	1.a	$1$	$6$	$6$	$101.450$	6.6.485411312.1	None	✓	?				$-1$		$-1$	$-6$	$-6$	$6$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
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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.