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 (28 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	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7803.2.a.d	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	None	✓	$1$	$0$	$-2$	$0$	$4$	$-1$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+4q^{5}-q^{7}-8q^{10}+\cdots$
7803.2.a.e	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-4$	$2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-4q^{5}+2q^{7}+3q^{8}+4q^{10}+\cdots$
7803.2.a.g	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$4$	$-2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+4q^{5}-2q^{7}+3q^{8}-4q^{10}+\cdots$
7803.2.a.h	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-3$	$-2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-3q^{5}-2q^{7}+3q^{11}+2q^{13}+\cdots$
7803.2.a.p	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}+2q^{7}-3q^{8}+q^{10}+\cdots$
7803.2.a.r	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$-4$	$-1$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-4q^{5}-q^{7}-8q^{10}+\cdots$
7803.2.a.t	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$2$	$-4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}+2q^{5}-4q^{7}+4q^{10}+\cdots$
7803.2.a.v	$7803$	$2$	7803.a	1.a	$1$	$2$	$2$	$62.307$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-1$	$0$	$-3$	$3$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{4}+(-1-\beta )q^{5}+\cdots$
7803.2.a.y	$7803$	$2$	7803.a	1.a	$1$	$2$	$2$	$62.307$	$\Q(\sqrt{17}) $	$\Q(\sqrt{-51}) $	✓	$2$	$0$	$0$	$0$	$3$	$0$	$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	$q-2q^{4}+(1+\beta )q^{5}+(-1+2\beta )q^{11}+\cdots$
7803.2.a.ba	$7803$	$2$	7803.a	1.a	$1$	$2$	$2$	$62.307$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$8$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+4q^{5}+2\beta q^{7}-2\beta q^{8}+4\beta q^{10}+\cdots$
7803.2.a.bb	$7803$	$2$	7803.a	1.a	$1$	$2$	$2$	$62.307$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$1$	$0$	$3$	$3$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+\beta )q^{4}+(1+\beta )q^{5}+3\beta q^{7}+\cdots$
7803.2.a.bd	$7803$	$2$	7803.a	1.a	$1$	$3$	$3$	$62.307$	3.3.404.1	None	✓	$1$	$0$	$-1$	$0$	$3$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}+(3+\beta _{1}-\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots$
7803.2.a.be	$7803$	$2$	7803.a	1.a	$1$	$3$	$3$	$62.307$	$\Q(\zeta_{18})^+$	$\Q(\sqrt{-3}) $	✓	$2$	$0$	$0$	$0$	$0$	$0$	$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	$q-2q^{4}+(-2\beta _{1}-\beta _{2})q^{7}+(-3\beta _{1}+\cdots)q^{13}+\cdots$
7803.2.a.bf	$7803$	$2$	7803.a	1.a	$1$	$3$	$3$	$62.307$	$\Q(\zeta_{18})^+$	$\Q(\sqrt{-3}) $	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	$q-2q^{4}+(2\beta _{1}+\beta _{2})q^{7}+(-3\beta _{1}+4\beta _{2})q^{13}+\cdots$
7803.2.a.bi	$7803$	$2$	7803.a	1.a	$1$	$4$	$4$	$62.307$	4.4.29952.1	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{2}q^{5}+\beta _{3}q^{7}+\cdots$
7803.2.a.bl	$7803$	$2$	7803.a	1.a	$1$	$5$	$5$	$62.307$	5.5.160801.1	None	✓	$1$	$0$	$3$	$0$	$-4$	$-1$	$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	$q+(1-\beta _{4})q^{2}+(2+\beta _{2}+\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots$
7803.2.a.bm	$7803$	$2$	7803.a	1.a	$1$	$5$	$5$	$62.307$	5.5.160801.1	None	✓	$1$	$0$	$3$	$0$	$4$	$1$	$-$	$+$	$-$	$3$	$\mathrm{SU}(2)$	$q+(1-\beta _{4})q^{2}+(2+\beta _{2}+\beta _{3})q^{4}+(1+\cdots)q^{5}+\cdots$
7803.2.a.bn	$7803$	$2$	7803.a	1.a	$1$	$6$	$6$	$62.307$	6.6.435306496.1	None	✓	$2$	$0$	$0$	$0$	$0$	$-8$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{5}q^{5}+(-1+\cdots)q^{7}+\cdots$
7803.2.a.bo	$7803$	$2$	7803.a	1.a	$1$	$6$	$6$	$62.307$	6.6.435306496.1	None	✓	$2$	$0$	$0$	$0$	$0$	$8$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots$
7803.2.a.bq	$7803$	$2$	7803.a	1.a	$1$	$6$	$6$	$62.307$	6.6.1168184448.1	None	✓	$2$	$0$	$0$	$0$	$0$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{3}q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots$
7803.2.a.br	$7803$	$2$	7803.a	1.a	$1$	$10$	$10$	$62.307$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$2$	$0$	$0$	$0$	$-2$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{4}q^{5}-\beta _{6}q^{7}+\cdots$
7803.2.a.bw	$7803$	$2$	7803.a	1.a	$1$	$12$	$12$	$62.307$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$2$	$0$	$0$	$0$	$0$	$8$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(\beta _{1}-\beta _{11})q^{5}+\cdots$
7803.2.a.bz	$7803$	$2$	7803.a	1.a	$1$	$15$	$15$	$62.307$	$\mathbb{Q}[x]/(x^{15} - \cdots)$	None	✓	$1$	$0$	$6$	$0$	$-3$	$3$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+\beta _{4}q^{5}+(1+\cdots)q^{7}+\cdots$
7803.2.a.ca	$7803$	$2$	7803.a	1.a	$1$	$15$	$15$	$62.307$	$\mathbb{Q}[x]/(x^{15} - \cdots)$	None	✓	$1$	$0$	$6$	$0$	$3$	$-3$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}-\beta _{4}q^{5}+(-1+\cdots)q^{7}+\cdots$
7803.2.a.cb	$7803$	$2$	7803.a	1.a	$1$	$18$	$18$	$62.307$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	$2$	$0$	$0$	$0$	$0$	$-6$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{5}q^{5}+(\beta _{7}+\cdots)q^{7}+\cdots$
7803.2.a.cc	$7803$	$2$	7803.a	1.a	$1$	$18$	$18$	$62.307$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	$2$	$0$	$0$	$0$	$0$	$6$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{5}q^{5}+(-\beta _{7}+\cdots)q^{7}+\cdots$
7803.2.a.cf	$7803$	$2$	7803.a	1.a	$1$	$24$	$24$	$62.307$		None	✓	$2$	$0$	$0$	$0$	$0$	$16$	$+$	$-$	$-$		$\mathrm{SU}(2)$
7803.2.a.cg	$7803$	$2$	7803.a	1.a	$1$	$24$	$24$	$62.307$		None	✓	$2$	$0$	$0$	$0$	$20$	$0$	$+$	$-$	$-$		$\mathrm{SU}(2)$

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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.