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 (30 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	3	5	31	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7440.2.a.b	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$-2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-2q^{7}+q^{9}-4q^{13}+q^{15}+\cdots$
7440.2.a.f	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	$\Q$	None	✓	$1$	$2$	$0$	$-1$	$1$	$-4$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-4q^{7}+q^{9}-6q^{11}-6q^{13}+\cdots$
7440.2.a.h	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$-2$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-2q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots$
7440.2.a.j	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots$
7440.2.a.m	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$2$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+2q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots$
7440.2.a.o	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$4$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
7440.2.a.p	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$-3$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-3q^{7}+q^{9}-5q^{11}-6q^{13}+\cdots$
7440.2.a.q	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots$
7440.2.a.u	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$2$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+2q^{7}+q^{9}+4q^{13}-q^{15}+\cdots$
7440.2.a.w	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$-4$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-4q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots$
7440.2.a.y	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$-2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-2q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots$
7440.2.a.ba	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+2q^{7}+q^{9}+4q^{11}+q^{15}+\cdots$
7440.2.a.bb	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$4$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+4q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots$
7440.2.a.bd	$7440$	$2$	7440.a	1.a	$1$	$2$	$2$	$59.409$	$\Q(\sqrt{65}) $	None	✓	$1$	$0$	$0$	$-2$	$-2$	$1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+\beta q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots$
7440.2.a.be	$7440$	$2$	7440.a	1.a	$1$	$2$	$2$	$59.409$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$-2$	$-2$	$4$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+(2+\beta )q^{7}+q^{9}-2\beta q^{11}+\cdots$
7440.2.a.bg	$7440$	$2$	7440.a	1.a	$1$	$2$	$2$	$59.409$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$0$	$-2$	$2$	$-1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-\beta q^{7}+q^{9}+(-4+\beta )q^{11}+\cdots$
7440.2.a.bk	$7440$	$2$	7440.a	1.a	$1$	$2$	$2$	$59.409$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$2$	$-2$	$6$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+(3+\beta )q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$
7440.2.a.bl	$7440$	$2$	7440.a	1.a	$1$	$2$	$2$	$59.409$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$2$	$2$	$-1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-\beta q^{7}+q^{9}-\beta q^{11}+2q^{13}+\cdots$
7440.2.a.bn	$7440$	$2$	7440.a	1.a	$1$	$3$	$3$	$59.409$	3.3.404.1	None	✓	$1$	$0$	$0$	$-3$	$-3$	$2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+(1-\beta _{2})q^{7}+q^{9}-2\beta _{2}q^{11}+\cdots$
7440.2.a.bo	$7440$	$2$	7440.a	1.a	$1$	$3$	$3$	$59.409$	3.3.148.1	None	✓	$1$	$0$	$0$	$-3$	$-3$	$2$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+(1-\beta _{1})q^{7}+q^{9}+(2\beta _{1}+\cdots)q^{11}+\cdots$
7440.2.a.bq	$7440$	$2$	7440.a	1.a	$1$	$3$	$3$	$59.409$	3.3.7636.1	None	✓	$1$	$0$	$0$	$-3$	$3$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+\beta _{1}q^{7}+q^{9}-2q^{11}+\cdots$
7440.2.a.br	$7440$	$2$	7440.a	1.a	$1$	$3$	$3$	$59.409$	3.3.148.1	None	✓	$1$	$0$	$0$	$-3$	$3$	$2$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+(2\beta _{1}+\beta _{2})q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots$
7440.2.a.bt	$7440$	$2$	7440.a	1.a	$1$	$3$	$3$	$59.409$	3.3.564.1	None	✓	$1$	$0$	$0$	$3$	$-3$	$-4$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+(-2+\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots$
7440.2.a.bx	$7440$	$2$	7440.a	1.a	$1$	$4$	$4$	$59.409$	4.4.78292.1	None	✓	$1$	$0$	$0$	$4$	$-4$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-\beta _{1}q^{7}+q^{9}+(-\beta _{1}+\beta _{2}+\cdots)q^{11}+\cdots$
7440.2.a.by	$7440$	$2$	7440.a	1.a	$1$	$4$	$4$	$59.409$	4.4.70164.1	None	✓	$1$	$0$	$0$	$4$	$-4$	$0$	$+$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+\beta _{3}q^{7}+q^{9}+2q^{11}+\cdots$
7440.2.a.ca	$7440$	$2$	7440.a	1.a	$1$	$4$	$4$	$59.409$	4.4.92692.1	None	✓	$1$	$0$	$0$	$4$	$4$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+\beta _{2}q^{7}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots$
7440.2.a.cb	$7440$	$2$	7440.a	1.a	$1$	$4$	$4$	$59.409$	4.4.224148.1	None	✓	$1$	$0$	$0$	$4$	$4$	$4$	$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+(1-\beta _{1})q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots$
7440.2.a.cc	$7440$	$2$	7440.a	1.a	$1$	$4$	$4$	$59.409$	4.4.17428.1	None	✓	$1$	$0$	$0$	$4$	$4$	$4$	$+$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+(1-\beta _{3})q^{7}+q^{9}+(2-\beta _{1}+\cdots)q^{11}+\cdots$
7440.2.a.ce	$7440$	$2$	7440.a	1.a	$1$	$5$	$5$	$59.409$	5.5.5547956.1	None	✓	$1$	$0$	$0$	$-5$	$-5$	$1$	$+$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+(\beta _{1}+\beta _{3})q^{7}+q^{9}+(\beta _{3}+\cdots)q^{11}+\cdots$
7440.2.a.cf	$7440$	$2$	7440.a	1.a	$1$	$5$	$5$	$59.409$	5.5.24504404.1	None	✓	$1$	$0$	$0$	$-5$	$5$	$-1$	$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-\beta _{1}q^{7}+q^{9}+\beta _{4}q^{11}+\cdots$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.