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	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (26 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	5	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7935.2.a.c	$7935$	$2$	7935.a	1.a	$1$	$1$	$1$	$63.361$	$\Q$	None	✓	$1$	$0$	$-2$	$1$	$1$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+q^{3}+2q^{4}+q^{5}-2q^{6}+2q^{7}+\cdots$
7935.2.a.d	$7935$	$2$	7935.a	1.a	$1$	$1$	$1$	$63.361$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}+3q^{8}+\cdots$
7935.2.a.e	$7935$	$2$	7935.a	1.a	$1$	$1$	$1$	$63.361$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}-4q^{7}+\cdots$
7935.2.a.f	$7935$	$2$	7935.a	1.a	$1$	$1$	$1$	$63.361$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}-q^{5}-2q^{7}+q^{9}+q^{11}+\cdots$
7935.2.a.i	$7935$	$2$	7935.a	1.a	$1$	$1$	$1$	$63.361$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+q^{5}+3q^{7}+q^{9}+4q^{11}+\cdots$
7935.2.a.j	$7935$	$2$	7935.a	1.a	$1$	$1$	$1$	$63.361$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$1$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-4q^{7}+\cdots$
7935.2.a.k	$7935$	$2$	7935.a	1.a	$1$	$1$	$1$	$63.361$	$\Q$	None	✓	$1$	$0$	$2$	$-1$	$-1$	$-3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}-q^{3}+2q^{4}-q^{5}-2q^{6}-3q^{7}+\cdots$
7935.2.a.m	$7935$	$2$	7935.a	1.a	$1$	$1$	$1$	$63.361$	$\Q$	None	✓	$1$	$0$	$2$	$1$	$1$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}+2q^{7}+\cdots$
7935.2.a.n	$7935$	$2$	7935.a	1.a	$1$	$2$	$2$	$63.361$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$-2$	$-2$	$-2$	$6$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}-q^{3}+(2-2\beta )q^{4}-q^{5}+\cdots$
7935.2.a.o	$7935$	$2$	7935.a	1.a	$1$	$2$	$2$	$63.361$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$-2$	$-2$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-q^{3}-q^{5}-\beta q^{6}+(2-2\beta )q^{7}+\cdots$
7935.2.a.s	$7935$	$2$	7935.a	1.a	$1$	$2$	$2$	$63.361$	$\Q(\sqrt{73}) $	None	✓	$1$	$0$	$0$	$2$	$2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+q^{5}+\beta q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots$
7935.2.a.t	$7935$	$2$	7935.a	1.a	$1$	$2$	$2$	$63.361$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$0$	$2$	$2$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{3}+4q^{4}+q^{5}+\beta q^{6}+q^{7}+\cdots$
7935.2.a.v	$7935$	$2$	7935.a	1.a	$1$	$3$	$3$	$63.361$	3.3.148.1	None	✓	$1$	$0$	$0$	$-3$	$-3$	$1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}-q^{3}+(1-\beta _{1}-\beta _{2})q^{4}-q^{5}+\cdots$
7935.2.a.x	$7935$	$2$	7935.a	1.a	$1$	$3$	$3$	$63.361$	3.3.756.1	None	✓	$1$	$0$	$0$	$-3$	$-3$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
7935.2.a.ba	$7935$	$2$	7935.a	1.a	$1$	$4$	$4$	$63.361$	4.4.25492.1	None	✓	$1$	$0$	$0$	$4$	$4$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2}+\beta _{3})q^{4}+q^{5}+\cdots$
7935.2.a.bc	$7935$	$2$	7935.a	1.a	$1$	$5$	$5$	$63.361$	5.5.3370660.1	None	✓	$1$	$0$	$0$	$5$	$5$	$3$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$
7935.2.a.bd	$7935$	$2$	7935.a	1.a	$1$	$6$	$6$	$63.361$	6.6.22733568.1	None	✓	$1$	$0$	$0$	$-6$	$-6$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
7935.2.a.bf	$7935$	$2$	7935.a	1.a	$1$	$6$	$6$	$63.361$	6.6.4507648.1	None	✓	$1$	$0$	$0$	$6$	$-6$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}+q^{3}+(1-\beta _{1}-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots$
7935.2.a.bi	$7935$	$2$	7935.a	1.a	$1$	$8$	$8$	$63.361$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$0$	$0$	$8$	$8$	$6$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
7935.2.a.bk	$7935$	$2$	7935.a	1.a	$1$	$10$	$10$	$63.361$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$0$	$-10$	$10$	$6$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$
7935.2.a.bl	$7935$	$2$	7935.a	1.a	$1$	$12$	$12$	$63.361$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$0$	$0$	$12$	$-12$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{7}-\beta _{8})q^{4}-q^{5}+\cdots$
7935.2.a.bs	$7935$	$2$	7935.a	1.a	$1$	$16$	$16$	$63.361$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	✓	$1$	$0$	$0$	$-16$	$16$	$12$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
7935.2.a.bt	$7935$	$2$	7935.a	1.a	$1$	$25$	$25$	$63.361$		None	✓	$1$	$0$	$1$	$-25$	$-25$	$15$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
7935.2.a.bu	$7935$	$2$	7935.a	1.a	$1$	$25$	$25$	$63.361$		None	✓	$1$	$0$	$1$	$-25$	$25$	$-15$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
7935.2.a.bv	$7935$	$2$	7935.a	1.a	$1$	$25$	$25$	$63.361$		None	✓	$1$	$0$	$11$	$25$	$-25$	$-7$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
7935.2.a.bw	$7935$	$2$	7935.a	1.a	$1$	$25$	$25$	$63.361$		None	✓	$1$	$0$	$11$	$25$	$25$	$7$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$

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