LMFDB - Newform search results

Refine search

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
		Only for weight 1:

				Sort order	Select

Results (1-50 of 62 matches)

Next Download displayed columns for results to

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	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5175.2.a.a	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$-2$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{7}+2q^{13}-2q^{14}+\cdots$
5175.2.a.b	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$-2$	$0$	$0$	$5$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+5q^{7}+2q^{11}+6q^{13}+\cdots$
5175.2.a.c	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-4q^{7}+3q^{8}+4q^{11}+\cdots$
5175.2.a.d	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$-3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-3q^{7}+3q^{8}-5q^{11}+\cdots$
5175.2.a.e	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{7}+3q^{8}+q^{11}-q^{13}+\cdots$
5175.2.a.f	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{8}+4q^{13}-q^{16}+\cdots$
5175.2.a.g	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+2q^{7}+3q^{8}+4q^{13}+\cdots$
5175.2.a.h	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{7}+3q^{8}+q^{11}-q^{13}+\cdots$
5175.2.a.i	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$5$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+5q^{7}+3q^{8}-5q^{11}+\cdots$
5175.2.a.j	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-3q^{7}-2q^{11}+3q^{13}+4q^{16}+\cdots$
5175.2.a.k	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-q^{7}-4q^{11}+4q^{16}+5q^{17}+\cdots$
5175.2.a.l	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-q^{7}+6q^{11}+5q^{13}+4q^{16}+\cdots$
5175.2.a.m	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{7}+6q^{11}-5q^{13}+4q^{16}+\cdots$
5175.2.a.n	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+3q^{7}-2q^{11}-3q^{13}+4q^{16}+\cdots$
5175.2.a.o	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+3q^{7}+4q^{11}+4q^{16}-3q^{17}+\cdots$
5175.2.a.p	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$-5$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-5q^{7}-3q^{8}-5q^{11}+\cdots$
5175.2.a.q	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-4q^{7}-3q^{8}-4q^{11}+\cdots$
5175.2.a.r	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{7}-3q^{8}+q^{11}+q^{13}+\cdots$
5175.2.a.s	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-2q^{7}-3q^{8}-4q^{13}+\cdots$
5175.2.a.t	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{8}-4q^{13}-q^{16}+\cdots$
5175.2.a.u	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{7}-3q^{8}+q^{11}+q^{13}+\cdots$
5175.2.a.v	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+2q^{7}-3q^{8}-4q^{11}+\cdots$
5175.2.a.w	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+3q^{7}-3q^{8}-5q^{11}+\cdots$
5175.2.a.x	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$0$	$-3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-3q^{7}-2q^{11}+2q^{13}+\cdots$
5175.2.a.y	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{7}-2q^{11}+2q^{13}+\cdots$
5175.2.a.z	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{7}-2q^{13}-2q^{14}+\cdots$
5175.2.a.ba	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-3$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{2}+3\beta q^{4}+\beta q^{7}+(-1+\cdots)q^{8}+\cdots$
5175.2.a.bb	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-3$	$0$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{2}+3\beta q^{4}+(2-2\beta )q^{7}+\cdots$
5175.2.a.bc	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+(2-\beta )q^{7}+\cdots$
5175.2.a.bd	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$6$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(2-2\beta )q^{4}+3q^{7}+\cdots$
5175.2.a.be	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-1$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{4}+(-2+2\beta )q^{7}+\cdots$
5175.2.a.bf	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(1+\beta )q^{4}+(-1+\beta )q^{7}-3q^{8}+\cdots$
5175.2.a.bg	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{21}) $	None	✓	$1$	$0$	$-1$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(3+\beta )q^{4}+(1-\beta )q^{7}+(-5+\cdots)q^{8}+\cdots$
5175.2.a.bh	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1-\beta )q^{7}-2\beta q^{8}+(-2+\beta )q^{11}+\cdots$
5175.2.a.bi	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+\beta )q^{7}-2\beta q^{8}+(2+\beta )q^{11}+\cdots$
5175.2.a.bj	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+2\beta )q^{7}-2\beta q^{8}+(4+\beta )q^{11}+\cdots$
5175.2.a.bk	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta q^{2}+3q^{4}+(-1-\beta )q^{7}-\beta q^{8}+\cdots$
5175.2.a.bl	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+4q^{4}+q^{7}+2\beta q^{8}+\beta q^{11}+\cdots$
5175.2.a.bm	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+\beta )q^{4}+(1-\beta )q^{7}+3q^{8}+\cdots$
5175.2.a.bn	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{21}) $	None	✓	$1$	$0$	$1$	$0$	$0$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(3+\beta )q^{4}+(-1+\beta )q^{7}+(5+\cdots)q^{8}+\cdots$
5175.2.a.bo	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$0$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(1+2\beta )q^{4}+(2+\beta )q^{7}+\cdots$
5175.2.a.bp	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$3$	$0$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+3\beta q^{4}-\beta q^{7}+(1+4\beta )q^{8}+\cdots$
5175.2.a.bq	$5175$	$2$	5175.a	1.a	$1$	$3$	$3$	$41.323$	3.3.229.1	None	✓	$1$	$1$	$-2$	$0$	$0$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{2}+(2+\beta _{1})q^{4}+\beta _{1}q^{7}+\cdots$
5175.2.a.br	$5175$	$2$	5175.a	1.a	$1$	$3$	$3$	$41.323$	3.3.316.1	None	✓	$1$	$1$	$-1$	$0$	$0$	$-6$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-2-\beta _{2})q^{7}+\cdots$
5175.2.a.bs	$5175$	$2$	5175.a	1.a	$1$	$3$	$3$	$41.323$	3.3.148.1	None	✓	$1$	$0$	$0$	$0$	$0$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}+(1-\beta _{1}-\beta _{2})q^{4}+(-1+2\beta _{1}+\cdots)q^{7}+\cdots$
5175.2.a.bt	$5175$	$2$	5175.a	1.a	$1$	$3$	$3$	$41.323$	3.3.148.1	None	✓	$1$	$1$	$0$	$0$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{2}+(1-\beta _{1}-\beta _{2})q^{4}+(1-2\beta _{1}+\cdots)q^{7}+\cdots$
5175.2.a.bu	$5175$	$2$	5175.a	1.a	$1$	$3$	$3$	$41.323$	3.3.229.1	None	✓	$1$	$1$	$2$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{2}+(2+\beta _{1})q^{4}-\beta _{1}q^{7}+\cdots$
5175.2.a.bv	$5175$	$2$	5175.a	1.a	$1$	$4$	$4$	$41.323$	4.4.5744.1	None	✓	$1$	$1$	$0$	$0$	$0$	$-6$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2}+\beta _{3})q^{4}+(-1+\cdots)q^{7}+\cdots$
5175.2.a.bw	$5175$	$2$	5175.a	1.a	$1$	$4$	$4$	$41.323$	4.4.5744.1	None	✓	$1$	$0$	$0$	$0$	$0$	$6$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2}+\beta _{3})q^{4}+(1+\beta _{2}+\cdots)q^{7}+\cdots$
5175.2.a.bx	$5175$	$2$	5175.a	1.a	$1$	$4$	$4$	$41.323$	4.4.15317.1	None	✓	$1$	$0$	$2$	$0$	$0$	$3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{7}+\cdots$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 62 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.