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 (41 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	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7605.2.a.a	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$1$	$5$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{5}+5q^{7}-2q^{10}+\cdots$
7605.2.a.c	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}-2q^{7}+3q^{8}+q^{10}+\cdots$
7605.2.a.d	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}+2q^{7}+3q^{8}+q^{10}+\cdots$
7605.2.a.g	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+q^{5}+3q^{8}-q^{10}-4q^{11}+\cdots$
7605.2.a.h	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+q^{5}+3q^{8}-q^{10}+4q^{11}+\cdots$
7605.2.a.i	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-q^{5}-3q^{7}-3q^{11}+4q^{16}+\cdots$
7605.2.a.j	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-q^{5}+q^{7}+3q^{11}+4q^{16}+\cdots$
7605.2.a.l	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{5}-q^{7}-6q^{11}+4q^{16}+\cdots$
7605.2.a.o	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$1$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}-4q^{7}-3q^{8}+q^{10}+\cdots$
7605.2.a.r	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$1$	$4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}+4q^{7}-3q^{8}+q^{10}+\cdots$
7605.2.a.u	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$1$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}+q^{5}-3q^{7}+2q^{10}+\cdots$
7605.2.a.v	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$1$	$3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}+q^{5}+3q^{7}+2q^{10}+\cdots$
7605.2.a.w	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{13}) $	None	✓	$2$	$1$	$-4$	$0$	$2$	$0$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{5}-\beta q^{7}-2q^{10}+\cdots$
7605.2.a.x	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$0$	$2$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(-2+\cdots)q^{7}+\cdots$
7605.2.a.y	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$-2$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(2-2\beta )q^{4}-q^{5}+(-1+\cdots)q^{7}+\cdots$
7605.2.a.z	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(2-2\beta )q^{4}+q^{5}+\beta q^{7}+\cdots$
7605.2.a.bc	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-1$	$0$	$-2$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(2+\beta )q^{4}-q^{5}+(-1-\beta )q^{7}+\cdots$
7605.2.a.bd	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-1$	$0$	$-2$	$5$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(2+\beta )q^{4}-q^{5}+(3-\beta )q^{7}+\cdots$
7605.2.a.bf	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$1$	$0$	$2$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+\beta )q^{4}+q^{5}+(-3+2\beta )q^{7}+\cdots$
7605.2.a.bg	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$1$	$0$	$2$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+\beta )q^{4}+q^{5}-q^{7}+3q^{8}+\cdots$
7605.2.a.bm	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$-3$	$0$	$3$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1}+\beta _{2})q^{2}+(4-\beta _{1})q^{4}+\cdots$
7605.2.a.bn	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$-2$	$0$	$-3$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{2}+(\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots$
7605.2.a.bp	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$-1$	$0$	$3$	$-12$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+\beta _{2}q^{4}+q^{5}-4q^{7}+(-1+\cdots)q^{8}+\cdots$
7605.2.a.bq	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$-1$	$0$	$3$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+\beta _{2}q^{4}+q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots$
7605.2.a.br	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$-1$	$0$	$3$	$5$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+\beta _{2}q^{4}+q^{5}+(1+\beta _{1}-\beta _{2})q^{7}+\cdots$
7605.2.a.bu	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	3.3.148.1	None	✓	$1$	$1$	$0$	$0$	$3$	$-5$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{2}+(1-\beta _{1}-\beta _{2})q^{4}+q^{5}+(-1+\cdots)q^{7}+\cdots$
7605.2.a.bw	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	3.3.756.1	None	✓	$1$	$1$	$0$	$0$	$3$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots$
7605.2.a.by	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$1$	$0$	$-3$	$-5$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{2}q^{4}-q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots$
7605.2.a.bz	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$1$	$0$	$-3$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{2}q^{4}-q^{5}+(1-\beta _{1})q^{7}+\cdots$
7605.2.a.ca	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$1$	$0$	$-3$	$12$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{2}q^{4}-q^{5}+4q^{7}+(1-2\beta _{1}+\cdots)q^{8}+\cdots$
7605.2.a.cc	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	3.3.564.1	None	✓	$1$	$1$	$1$	$0$	$-3$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}+(-1-\beta _{2})q^{7}+\cdots$
7605.2.a.cd	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$2$	$0$	$3$	$4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots$
7605.2.a.ce	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$3$	$0$	$-3$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1}-\beta _{2})q^{2}+(4-\beta _{1})q^{4}-q^{5}+\cdots$
7605.2.a.cg	$7605$	$2$	7605.a	1.a	$1$	$4$	$4$	$60.726$	4.4.7488.1	None	✓	$1$	$1$	$-2$	$0$	$-4$	$6$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{3}q^{2}+(1-\beta _{2})q^{4}-q^{5}+(2-\beta _{1}+\cdots)q^{7}+\cdots$
7605.2.a.ch	$7605$	$2$	7605.a	1.a	$1$	$4$	$4$	$60.726$	4.4.13824.1	None	✓	$1$	$1$	$0$	$0$	$-4$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$
7605.2.a.cj	$7605$	$2$	7605.a	1.a	$1$	$4$	$4$	$60.726$	4.4.4752.1	None	✓	$1$	$1$	$2$	$0$	$-4$	$-10$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}-q^{5}+(-3+\cdots)q^{7}+\cdots$
7605.2.a.cl	$7605$	$2$	7605.a	1.a	$1$	$5$	$5$	$60.726$	5.5.3352656.1	None	✓	$1$	$1$	$-2$	$0$	$-5$	$-1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}-\beta _{4}q^{7}+\cdots$
7605.2.a.cm	$7605$	$2$	7605.a	1.a	$1$	$5$	$5$	$60.726$	5.5.3352656.1	None	✓	$1$	$1$	$-2$	$0$	$-5$	$1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+\beta _{4}q^{7}+\cdots$
7605.2.a.ct	$7605$	$2$	7605.a	1.a	$1$	$10$	$10$	$60.726$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$2$	$1$	$-4$	$0$	$10$	$0$	$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{4}q^{2}+(1+\beta _{5})q^{4}+q^{5}+\beta _{9}q^{7}+\cdots$
7605.2.a.cv	$7605$	$2$	7605.a	1.a	$1$	$12$	$12$	$60.726$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$1$	$-1$	$0$	$12$	$-12$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1-\beta _{3}+\beta _{4})q^{4}+q^{5}+(-1+\cdots)q^{7}+\cdots$
7605.2.a.cy	$7605$	$2$	7605.a	1.a	$1$	$12$	$12$	$60.726$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$1$	$1$	$0$	$-12$	$12$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1-\beta _{3}+\beta _{4})q^{4}-q^{5}+(1+\cdots)q^{7}+\cdots$

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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.