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 (35 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	5	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7360.2.a.e	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$1$	$-1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{5}-q^{7}+q^{9}+2q^{11}-2q^{15}+\cdots$
7360.2.a.f	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$1$	$5$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{5}+5q^{7}+q^{9}-2q^{11}+\cdots$
7360.2.a.g	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-2q^{9}+2q^{11}+5q^{13}+\cdots$
7360.2.a.h	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+2q^{7}-2q^{9}-4q^{11}+\cdots$
7360.2.a.i	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-4q^{7}-2q^{9}+6q^{11}+\cdots$
7360.2.a.j	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-2q^{7}-2q^{9}-q^{13}-q^{15}+\cdots$
7360.2.a.n	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{7}-3q^{9}+2q^{11}+2q^{13}+\cdots$
7360.2.a.p	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-3q^{9}+4q^{11}+2q^{13}+2q^{17}+\cdots$
7360.2.a.q	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}-3q^{9}-2q^{11}+2q^{13}+\cdots$
7360.2.a.s	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-2q^{7}-2q^{9}+4q^{11}+\cdots$
7360.2.a.t	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-2q^{9}-2q^{11}+5q^{13}+\cdots$
7360.2.a.u	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+2q^{7}-2q^{9}-q^{13}+q^{15}+\cdots$
7360.2.a.v	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+4q^{7}-2q^{9}-6q^{11}+\cdots$
7360.2.a.w	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$-1$	$1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}+q^{7}+q^{9}-2q^{11}+4q^{13}+\cdots$
7360.2.a.z	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$1$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{5}+3q^{7}+q^{9}-6q^{11}+\cdots$
7360.2.a.bc	$7360$	$2$	7360.a	1.a	$1$	$2$	$2$	$58.770$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$0$	$-3$	$-2$	$3$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{3}-q^{5}+(2-\beta )q^{7}+(1+\cdots)q^{9}+\cdots$
7360.2.a.bd	$7360$	$2$	7360.a	1.a	$1$	$2$	$2$	$58.770$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$0$	$-3$	$2$	$-3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{3}+q^{5}+(-2+\beta )q^{7}+\cdots$
7360.2.a.be	$7360$	$2$	7360.a	1.a	$1$	$2$	$2$	$58.770$	$\Q(\sqrt{7}) $	None	✓	$1$	$1$	$0$	$-2$	$-2$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+(-1-\beta )q^{7}-2q^{9}+(-1+\cdots)q^{11}+\cdots$
7360.2.a.bk	$7360$	$2$	7360.a	1.a	$1$	$2$	$2$	$58.770$	$\Q(\sqrt{21}) $	None	✓	$1$	$1$	$0$	$-1$	$2$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+q^{5}+(-1+\beta )q^{7}+(2+\beta )q^{9}+\cdots$
7360.2.a.bq	$7360$	$2$	7360.a	1.a	$1$	$2$	$2$	$58.770$	$\Q(\sqrt{21}) $	None	✓	$1$	$1$	$0$	$1$	$2$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+q^{5}+(1-\beta )q^{7}+(2+\beta )q^{9}+\cdots$
7360.2.a.bs	$7360$	$2$	7360.a	1.a	$1$	$2$	$2$	$58.770$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$2$	$2$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+(-1+\beta )q^{7}-2q^{9}+(-1+\cdots)q^{11}+\cdots$
7360.2.a.bu	$7360$	$2$	7360.a	1.a	$1$	$2$	$2$	$58.770$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$0$	$3$	$-2$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}-q^{5}+(-2+\beta )q^{7}+(1+\cdots)q^{9}+\cdots$
7360.2.a.bw	$7360$	$2$	7360.a	1.a	$1$	$3$	$3$	$58.770$	3.3.229.1	None	✓	$1$	$1$	$0$	$-2$	$-3$	$7$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{3}-q^{5}+(2-\beta _{2})q^{7}+\cdots$
7360.2.a.bx	$7360$	$2$	7360.a	1.a	$1$	$3$	$3$	$58.770$	3.3.1573.1	None	✓	$1$	$1$	$0$	$-1$	$-3$	$-4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}-q^{5}+(-1-\beta _{1})q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots$
7360.2.a.ca	$7360$	$2$	7360.a	1.a	$1$	$3$	$3$	$58.770$	3.3.621.1	None	✓	$1$	$1$	$0$	$0$	$3$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+q^{5}+(-1-\beta _{1})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots$
7360.2.a.cb	$7360$	$2$	7360.a	1.a	$1$	$3$	$3$	$58.770$	3.3.621.1	None	✓	$1$	$1$	$0$	$0$	$3$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+q^{5}+(1+\beta _{1})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots$
7360.2.a.cf	$7360$	$2$	7360.a	1.a	$1$	$3$	$3$	$58.770$	3.3.229.1	None	✓	$1$	$1$	$0$	$2$	$-3$	$-7$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{3}-q^{5}+(-2+\beta _{2})q^{7}+\cdots$
7360.2.a.cg	$7360$	$2$	7360.a	1.a	$1$	$4$	$4$	$58.770$	4.4.15317.1	None	✓	$1$	$1$	$0$	$-2$	$-4$	$3$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{3}-q^{5}+(1+\beta _{3})q^{7}+\cdots$
7360.2.a.ci	$7360$	$2$	7360.a	1.a	$1$	$4$	$4$	$58.770$	4.4.21208.1	None	✓	$1$	$1$	$0$	$1$	$4$	$-5$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{3}q^{3}+q^{5}+(-1-\beta _{1})q^{7}+(3-\beta _{1}+\cdots)q^{9}+\cdots$
7360.2.a.cj	$7360$	$2$	7360.a	1.a	$1$	$4$	$4$	$58.770$	4.4.15317.1	None	✓	$1$	$1$	$0$	$2$	$-4$	$-3$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{3}-q^{5}+(-1-\beta _{3})q^{7}+\cdots$
7360.2.a.cl	$7360$	$2$	7360.a	1.a	$1$	$5$	$5$	$58.770$	5.5.876604.1	None	✓	$1$	$1$	$0$	$-1$	$-5$	$1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{3}q^{3}-q^{5}+(\beta _{2}+\beta _{3}+\beta _{4})q^{7}+\cdots$
7360.2.a.cm	$7360$	$2$	7360.a	1.a	$1$	$5$	$5$	$58.770$	5.5.2255384.1	None	✓	$1$	$1$	$0$	$-1$	$5$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+q^{5}+(-\beta _{2}+\beta _{3})q^{7}+\beta _{2}q^{9}+\cdots$
7360.2.a.cn	$7360$	$2$	7360.a	1.a	$1$	$5$	$5$	$58.770$	5.5.1143052.1	None	✓	$1$	$1$	$0$	$-1$	$5$	$-1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{3}+q^{5}+(-1+2\beta _{1}-\beta _{2}+\beta _{4})q^{7}+\cdots$
7360.2.a.ct	$7360$	$2$	7360.a	1.a	$1$	$5$	$5$	$58.770$	5.5.406264.1	None	✓	$1$	$1$	$0$	$3$	$-5$	$-8$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{3}-q^{5}+(-2+\beta _{1}-\beta _{4})q^{7}+\cdots$
7360.2.a.cu	$7360$	$2$	7360.a	1.a	$1$	$6$	$6$	$58.770$	6.6.255601784.1	None	✓	$1$	$1$	$0$	$-5$	$-6$	$4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}-q^{5}+(1+\beta _{3})q^{7}+\cdots$

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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.