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 (38 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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7938.2.a.b	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-3$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}-3q^{11}+\cdots$
7938.2.a.d	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-3$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}+6q^{11}+\cdots$
7938.2.a.e	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-2$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}+q^{11}+\cdots$
7938.2.a.h	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}+4q^{13}+q^{16}+6q^{17}+\cdots$
7938.2.a.j	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-2q^{11}+\cdots$
7938.2.a.l	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$3$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}-6q^{11}+\cdots$
7938.2.a.n	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$3$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+q^{13}+\cdots$
7938.2.a.o	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$3$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+3q^{11}+\cdots$
7938.2.a.p	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$4$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+4q^{5}-q^{8}-4q^{10}-2q^{11}+\cdots$
7938.2.a.r	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-3$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}-3q^{11}+\cdots$
7938.2.a.u	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-3$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}+6q^{11}+\cdots$
7938.2.a.y	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{8}-4q^{13}+q^{16}+6q^{17}+\cdots$
7938.2.a.bb	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{5}+q^{8}+2q^{10}-q^{11}+\cdots$
7938.2.a.be	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$3$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}+3q^{11}+\cdots$
7938.2.a.bf	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$4$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+4q^{5}+q^{8}+4q^{10}+2q^{11}+\cdots$
7938.2.a.bh	$7938$	$2$	7938.a	1.a	$1$	$2$	$2$	$63.385$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$-2$	$0$	$-3$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-1-\beta )q^{5}-q^{8}+(1+\cdots)q^{10}+\cdots$
7938.2.a.bj	$7938$	$2$	7938.a	1.a	$1$	$2$	$2$	$63.385$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}-\beta q^{11}+(-2-\beta )q^{13}+\cdots$
7938.2.a.bl	$7938$	$2$	7938.a	1.a	$1$	$2$	$2$	$63.385$	$\Q(\sqrt{7}) $	None	✓	$2$	$0$	$-2$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+2q^{11}+\cdots$
7938.2.a.bq	$7938$	$2$	7938.a	1.a	$1$	$2$	$2$	$63.385$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$3$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{8}+\beta q^{11}+(2+\beta )q^{13}+\cdots$
7938.2.a.br	$7938$	$2$	7938.a	1.a	$1$	$2$	$2$	$63.385$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta q^{5}+q^{8}+\beta q^{10}+(3+\cdots)q^{11}+\cdots$
7938.2.a.bs	$7938$	$2$	7938.a	1.a	$1$	$2$	$2$	$63.385$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$2$	$0$	$3$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(1+\beta )q^{5}+q^{8}+(1+\beta )q^{10}+\cdots$
7938.2.a.bt	$7938$	$2$	7938.a	1.a	$1$	$2$	$2$	$63.385$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$4$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(2+\beta )q^{5}+q^{8}+(2+\beta )q^{10}+\cdots$
7938.2.a.bu	$7938$	$2$	7938.a	1.a	$1$	$3$	$3$	$63.385$	3.3.321.1	None	✓	$1$	$0$	$-3$	$0$	$-5$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-2+\beta _{1})q^{5}-q^{8}+(2+\cdots)q^{10}+\cdots$
7938.2.a.bw	$7938$	$2$	7938.a	1.a	$1$	$3$	$3$	$63.385$	3.3.321.1	None	✓	$1$	$0$	$-3$	$0$	$1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-\beta _{2}q^{5}-q^{8}+\beta _{2}q^{10}+\cdots$
7938.2.a.bz	$7938$	$2$	7938.a	1.a	$1$	$3$	$3$	$63.385$	3.3.321.1	None	✓	$1$	$0$	$3$	$0$	$-1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta _{2}q^{5}+q^{8}+\beta _{2}q^{10}+\cdots$
7938.2.a.cb	$7938$	$2$	7938.a	1.a	$1$	$3$	$3$	$63.385$	3.3.321.1	None	✓	$1$	$0$	$3$	$0$	$5$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(2-\beta _{1})q^{5}+q^{8}+(2-\beta _{1}+\cdots)q^{10}+\cdots$
7938.2.a.cd	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	$\Q(\sqrt{2}, \sqrt{15})$	None	✓	$2$	$0$	$-4$	$0$	$0$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta _{1}q^{5}-q^{8}-\beta _{1}q^{10}+\cdots$
7938.2.a.ch	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	$\Q(\sqrt{7}, \sqrt{15})$	None	✓	$2$	$0$	$-4$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta _{3}q^{5}-q^{8}-\beta _{3}q^{10}+\cdots$
7938.2.a.ci	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	$\Q(\zeta_{24})^+$	None	✓	$2$	$0$	$-4$	$0$	$0$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2\beta _{1}q^{5}-q^{8}-2\beta _{1}q^{10}+\cdots$
7938.2.a.ck	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	$\Q(\zeta_{24})^+$	None	✓	$2$	$0$	$-4$	$0$	$0$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta _{1}q^{5}-q^{8}-\beta _{1}q^{10}+\cdots$
7938.2.a.cl	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	4.4.21312.1	None	✓	$1$	$0$	$-4$	$0$	$4$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(1+\beta _{3})q^{5}-q^{8}+(-1+\cdots)q^{10}+\cdots$
7938.2.a.cp	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	$\Q(\zeta_{24})^+$	None	✓	$2$	$0$	$4$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2\beta _{1}q^{5}+q^{8}+2\beta _{1}q^{10}+\cdots$
7938.2.a.cq	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	$\Q(\sqrt{7}, \sqrt{15})$	None	✓	$2$	$0$	$4$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta _{3}q^{5}+q^{8}+\beta _{3}q^{10}+\cdots$
7938.2.a.cr	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	$\Q(\sqrt{2}, \sqrt{15})$	None	✓	$2$	$0$	$4$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta _{1}q^{5}+q^{8}+\beta _{1}q^{10}+\cdots$
7938.2.a.cs	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	4.4.21312.1	None	✓	$2$	$0$	$4$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta _{3}q^{5}+q^{8}+\beta _{3}q^{10}+\cdots$
7938.2.a.ct	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	$\Q(\sqrt{2}, \sqrt{15})$	None	✓	$2$	$0$	$4$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta _{1}q^{5}+q^{8}+\beta _{1}q^{10}+\cdots$
7938.2.a.cu	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	$\Q(\sqrt{2}, \sqrt{15})$	None	✓	$2$	$0$	$4$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta _{1}q^{5}+q^{8}+\beta _{1}q^{10}+\cdots$
7938.2.a.cv	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	4.4.21312.1	None	✓	$1$	$0$	$4$	$0$	$4$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(1+\beta _{3})q^{5}+q^{8}+(1+\beta _{3})q^{10}+\cdots$

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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.