LMFDB - Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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 (45 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	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$ -expansion
16245.2.a.b	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$-2$	$0$	$1$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{5}-2q^{7}-2q^{10}+\cdots$
16245.2.a.c	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}+3q^{8}+q^{10}+4q^{11}+\cdots$
16245.2.a.e	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+q^{5}+2q^{7}+3q^{8}-q^{10}+\cdots$
16245.2.a.g	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-q^{5}+2q^{7}+3q^{11}+4q^{13}+\cdots$
16245.2.a.i	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{5}-4q^{7}-3q^{11}+2q^{13}+\cdots$
16245.2.a.j	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$1$	$0$	$-1$	$4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-q^{5}+4q^{7}-3q^{8}-q^{10}+\cdots$
16245.2.a.l	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$1$	$0$	$1$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}+2q^{7}-3q^{8}+q^{10}+\cdots$
16245.2.a.m	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$2$	$0$	$1$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}+q^{5}-2q^{7}+2q^{10}+\cdots$
16245.2.a.p	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	$\Q(\sqrt{17})$	None	✓	?				$-1$		$-2$	$0$	$2$	$-2$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.q	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	$\Q(\sqrt{2})$	None	✓	?				$-1$		$-2$	$0$	$2$	$-2$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.s	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	$\Q(\sqrt{3})$	None	✓	?				$-1$		$0$	$0$	$-2$	$-2$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.t	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	$\Q(\sqrt{5})$	not computed	✓	?				$-1$		$0$	$0$	$2$	$-4$	$-$	$-$	$+$	$+$
16245.2.a.u	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	$\Q(\sqrt{7})$	None	✓	?				$-1$		$0$	$0$	$-2$	$-2$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.v	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	$\Q(\sqrt{5})$	None	✓	?				$-1$		$1$	$0$	$2$	$6$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.w	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	$\Q(\sqrt{17})$	None	✓	?				$-1$		$2$	$0$	$2$	$-2$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.bc	$16245$	$2$	16245.a	1.a	$1$	$3$	$3$	$129.717$	3.3.148.1	None	✓	?				$-1$		$-1$	$0$	$3$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.be	$16245$	$2$	16245.a	1.a	$1$	$3$	$3$	$129.717$	3.3.361.1	None	✓	?				$-1$		$-1$	$0$	$3$	$2$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.bg	$16245$	$2$	16245.a	1.a	$1$	$3$	$3$	$129.717$	3.3.148.1	None	✓	?				$-1$		$1$	$0$	$-3$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.bh	$16245$	$2$	16245.a	1.a	$1$	$3$	$3$	$129.717$	3.3.148.1	None	✓	?				$-1$		$1$	$0$	$3$	$-4$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.bl	$16245$	$2$	16245.a	1.a	$1$	$4$	$4$	$129.717$	4.4.2225.1	None	✓	?				$-1$		$-1$	$0$	$-4$	$-11$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.bn	$16245$	$2$	16245.a	1.a	$1$	$4$	$4$	$129.717$	$\Q(\zeta_{20})^+$	not computed	✓	?				$-1$		$0$	$0$	$4$	$2$	$-$	$-$	$+$	$+$
16245.2.a.bo	$16245$	$2$	16245.a	1.a	$1$	$4$	$4$	$129.717$	$\Q(\zeta_{20})^+$	not computed	✓	?				$-1$		$0$	$0$	$4$	$-8$	$-$	$-$	$+$	$+$
16245.2.a.bq	$16245$	$2$	16245.a	1.a	$1$	$4$	$4$	$129.717$	4.4.2225.1	None	✓	?				$-1$		$1$	$0$	$-4$	$-11$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.br	$16245$	$2$	16245.a	1.a	$1$	$4$	$4$	$129.717$	4.4.7537.1	None	✓	?				$-1$		$1$	$0$	$-4$	$-4$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.bs	$16245$	$2$	16245.a	1.a	$1$	$5$	$5$	$129.717$	5.5.8797896.1	None	✓	?				$-1$		$-1$	$0$	$-5$	$2$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.bu	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.1397493.1	None	✓	?				$-1$		$-3$	$0$	$-6$	$-6$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.bv	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.966125.1	None	✓	?				$-1$		$-3$	$0$	$-6$	$4$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.bw	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.79815328.1	None	✓	?				$-1$		$-3$	$0$	$-6$	$2$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.bx	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.79815328.1	None	✓	?				$-1$		$-3$	$0$	$6$	$2$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.ca	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.2591125.1	None	✓	?				$-1$		$-1$	$0$	$-6$	$2$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.cc	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.42224192.1	not computed	✓	?				$-1$		$0$	$0$	$-6$	$4$	$+$	$+$	$+$	$+$
16245.2.a.ce	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.2591125.1	None	✓	?				$-1$		$1$	$0$	$-6$	$2$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.ci	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.966125.1	None	✓	?				$-1$		$3$	$0$	$-6$	$4$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.cn	$16245$	$2$	16245.a	1.a	$1$	$9$	$9$	$129.717$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?				$-1$		$-3$	$0$	$9$	$-6$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.co	$16245$	$2$	16245.a	1.a	$1$	$9$	$9$	$129.717$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?				$-1$		$0$	$0$	$9$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.cr	$16245$	$2$	16245.a	1.a	$1$	$9$	$9$	$129.717$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?				$-1$		$6$	$0$	$-9$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.ct	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$-4$	$0$	$12$	$-10$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.cu	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$-3$	$0$	$12$	$6$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.cx	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$0$	$0$	$12$	$-8$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.cy	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$0$	$0$	$12$	$-8$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.db	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$4$	$0$	$12$	$-10$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.dc	$16245$	$2$	16245.a	1.a	$1$	$15$	$15$	$129.717$	$\mathbb{Q}[x]/(x^{15} - \cdots)$	None	✓	?	✓			$-1$		$-3$	$0$	$-15$	$6$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.df	$16245$	$2$	16245.a	1.a	$1$	$21$	$21$	$129.717$		None	✓	?				$-1$		$-6$	$0$	$-21$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.dg	$16245$	$2$	16245.a	1.a	$1$	$21$	$21$	$129.717$		None	✓	?	✓			$-1$		$-6$	$0$	$21$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
16245.2.a.dj	$16245$	$2$	16245.a	1.a	$1$	$24$	$24$	$129.717$		not computed	✓	?	✓			$-1$		$0$	$0$	$-24$	$16$	$+$	$+$	$+$	$+$

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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.