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 (40 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	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7488.2.a.c	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$2$	$0$	$0$	$-4$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}-2q^{7}-4q^{11}-q^{13}-2q^{17}+\cdots$
7488.2.a.e	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-4$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}+4q^{7}+2q^{11}+q^{13}+6q^{17}+\cdots$
7488.2.a.f	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-4$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}+4q^{7}+4q^{11}+q^{13}-8q^{23}+\cdots$
7488.2.a.g	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-3$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-q^{7}+6q^{11}-q^{13}+3q^{17}+\cdots$
7488.2.a.j	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-2q^{7}-4q^{11}+q^{13}+6q^{19}+\cdots$
7488.2.a.m	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-4q^{11}-q^{13}+6q^{17}-8q^{19}+\cdots$
7488.2.a.p	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+4q^{11}-q^{13}+6q^{17}+8q^{19}+\cdots$
7488.2.a.r	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+2q^{7}-4q^{11}+q^{13}+2q^{19}+\cdots$
7488.2.a.t	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+4q^{7}-q^{13}-2q^{17}-8q^{19}+\cdots$
7488.2.a.u	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-5$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-5q^{7}+2q^{11}+q^{13}+3q^{17}+\cdots$
7488.2.a.v	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}+2q^{11}+q^{13}+3q^{17}+\cdots$
7488.2.a.bc	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-6q^{11}+q^{13}-2q^{17}+4q^{23}-5q^{25}+\cdots$
7488.2.a.bf	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-q^{13}+6q^{17}-2q^{19}-5q^{25}+\cdots$
7488.2.a.bh	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}+2q^{11}+q^{13}+6q^{17}-4q^{19}+\cdots$
7488.2.a.bi	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$-3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-3q^{7}-2q^{11}-q^{13}+3q^{17}+\cdots$
7488.2.a.bj	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+3q^{7}+2q^{11}-q^{13}+3q^{17}+\cdots$
7488.2.a.bl	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-4q^{7}+4q^{11}-q^{13}-2q^{17}+\cdots$
7488.2.a.bp	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-2q^{7}+4q^{11}+q^{13}+6q^{19}+\cdots$
7488.2.a.bs	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{13}-2q^{17}+4q^{19}-q^{25}+\cdots$
7488.2.a.bw	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+2q^{7}+2q^{11}+q^{13}-6q^{17}+\cdots$
7488.2.a.bx	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+2q^{7}+4q^{11}+q^{13}+2q^{19}+\cdots$
7488.2.a.bz	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+4q^{7}-4q^{11}-q^{13}-2q^{17}+\cdots$
7488.2.a.cc	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}+2q^{11}+q^{13}-2q^{17}+8q^{19}+\cdots$
7488.2.a.cd	$7488$	$2$	7488.a	1.a	$1$	$1$	$1$	$59.792$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}+4q^{7}-4q^{11}+q^{13}+8q^{23}+\cdots$
7488.2.a.cg	$7488$	$2$	7488.a	1.a	$1$	$2$	$2$	$59.792$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$-6$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}+(-3+\beta )q^{7}+2\beta q^{11}+\cdots$
7488.2.a.ch	$7488$	$2$	7488.a	1.a	$1$	$2$	$2$	$59.792$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$6$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}+(3-\beta )q^{7}-2\beta q^{11}+\cdots$
7488.2.a.cj	$7488$	$2$	7488.a	1.a	$1$	$2$	$2$	$59.792$	$\Q(\sqrt{3}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-4$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-2q^{7}-\beta q^{11}-q^{13}-2\beta q^{17}+2q^{19}+\cdots$
7488.2.a.co	$7488$	$2$	7488.a	1.a	$1$	$2$	$2$	$59.792$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}+\beta q^{7}+2q^{11}+q^{13}+(-2+\cdots)q^{17}+\cdots$
7488.2.a.cp	$7488$	$2$	7488.a	1.a	$1$	$2$	$2$	$59.792$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$4$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(2-\beta )q^{7}+(-2+\beta )q^{11}+\cdots$
7488.2.a.cr	$7488$	$2$	7488.a	1.a	$1$	$2$	$2$	$59.792$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$4$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(2+\beta )q^{7}+(2+\beta )q^{11}-q^{13}+\cdots$
7488.2.a.cs	$7488$	$2$	7488.a	1.a	$1$	$2$	$2$	$59.792$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$-2$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+(-1-\beta )q^{7}-2q^{11}+\cdots$
7488.2.a.ct	$7488$	$2$	7488.a	1.a	$1$	$2$	$2$	$59.792$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+(1+\beta )q^{7}+2q^{11}+q^{13}+\cdots$
7488.2.a.cu	$7488$	$2$	7488.a	1.a	$1$	$2$	$2$	$59.792$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$3$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+(-1+\beta )q^{7}+(-2+2\beta )q^{11}+\cdots$
7488.2.a.cw	$7488$	$2$	7488.a	1.a	$1$	$2$	$2$	$59.792$	$\Q(\sqrt{5}) $	None	✓	$2$	$0$	$0$	$0$	$6$	$0$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+3q^{5}+\beta q^{7}-2\beta q^{11}+q^{13}+3q^{17}+\cdots$
7488.2.a.cx	$7488$	$2$	7488.a	1.a	$1$	$3$	$3$	$59.792$	3.3.148.1	None	✓	$1$	$0$	$0$	$0$	$2$	$0$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(1+\beta _{1})q^{5}+\beta _{2}q^{7}+(-1+\beta _{1}+\beta _{2})q^{11}+\cdots$
7488.2.a.cy	$7488$	$2$	7488.a	1.a	$1$	$3$	$3$	$59.792$	3.3.148.1	None	✓	$1$	$0$	$0$	$0$	$2$	$0$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(1+\beta _{1})q^{5}-\beta _{2}q^{7}+(1-\beta _{1}-\beta _{2})q^{11}+\cdots$
7488.2.a.cz	$7488$	$2$	7488.a	1.a	$1$	$4$	$4$	$59.792$	$\Q(\zeta_{20})^+$	None	✓	$2$	$0$	$0$	$0$	$-4$	$0$	$-$	$+$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q+(-1+\beta _{3})q^{5}-\beta _{2}q^{7}+(\beta _{1}+\beta _{2}+\cdots)q^{11}+\cdots$
7488.2.a.db	$7488$	$2$	7488.a	1.a	$1$	$4$	$4$	$59.792$	$\Q(\zeta_{24})^+$	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{5}+\beta _{3}q^{7}+(-2-\beta _{2})q^{11}+\cdots$
7488.2.a.dc	$7488$	$2$	7488.a	1.a	$1$	$4$	$4$	$59.792$	$\Q(\zeta_{24})^+$	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{5}-\beta _{3}q^{7}+(2+\beta _{2})q^{11}+q^{13}+\cdots$
7488.2.a.dd	$7488$	$2$	7488.a	1.a	$1$	$4$	$4$	$59.792$	$\Q(\zeta_{20})^+$	None	✓	$2$	$0$	$0$	$0$	$4$	$0$	$-$	$+$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q+(1-\beta _{3})q^{5}-\beta _{2}q^{7}+(-\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots$

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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.