LMFDB - Newform search results

Refine search

Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad $p$	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

				Sort order	Select

Results (1-50 of 99 matches)

Next Download displayed columns for results to

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	3	5	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7350.2.a.a	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.i.b	$1$	$0$	$-1$	$-1$	$0$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.b	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.n.a	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.c	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.a	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.d	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓	✓			7350.2.a.d	$1$	$0$	$-1$	$-1$	$0$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.e	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.d	$1$	$0$	$-1$	$-1$	$0$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.f	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				42.2.a.a	$1$	$0$	$-1$	$-1$	$0$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.g	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.g.a	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.h	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.j	$1$	$0$	$-1$	$-1$	$0$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.i	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.a.f	$1$	$0$	$-1$	$-1$	$0$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.j	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.i.a	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.k	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.g	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.l	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓	✓			7350.2.a.l	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.m	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1470.2.g.c	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.n	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.h	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.o	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1470.2.a.n	$1$	$0$	$-1$	$-1$	$0$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.p	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.a.c	$1$	$0$	$-1$	$-1$	$0$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.q	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				42.2.e.a	$1$	$0$	$-1$	$-1$	$0$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.r	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.a.j	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.s	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.c	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.t	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.n.a	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.u	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.i.b	$1$	$0$	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.v	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.d	$1$	$0$	$-1$	$1$	$0$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.w	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.a.e	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.x	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓	✓			7350.2.a.d	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.y	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.a	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.z	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.j	$1$	$0$	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.ba	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.i.a	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.bb	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.h	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.bc	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1470.2.g.c	$1$	$0$	$-1$	$1$	$0$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.bd	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.a.d	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.be	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓	✓			7350.2.a.l	$1$	$0$	$-1$	$1$	$0$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.bf	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.g	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.bg	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				30.2.c.a	$1$	$0$	$-1$	$1$	$0$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.bh	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1470.2.a.n	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.bi	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.a.b	$1$	$0$	$-1$	$1$	$0$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.bj	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.a.e	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.bk	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.g.b	$1$	$0$	$-1$	$1$	$0$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.bl	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				42.2.e.a	$1$	$0$	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.bm	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.c	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
7350.2.a.bn	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.n.a	$1$	$1$	$1$	$-1$	$0$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
7350.2.a.bo	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.a.a	$1$	$1$	$1$	$-1$	$0$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
7350.2.a.bp	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.a	$1$	$0$	$1$	$-1$	$0$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
7350.2.a.bq	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓	✓			7350.2.a.d	$1$	$0$	$1$	$-1$	$0$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
7350.2.a.br	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				294.2.a.b	$1$	$1$	$1$	$-1$	$0$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
7350.2.a.bs	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.d	$1$	$1$	$1$	$-1$	$0$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
7350.2.a.bt	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.j	$1$	$1$	$1$	$-1$	$0$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
7350.2.a.bu	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				210.2.i.d	$1$	$1$	$1$	$-1$	$0$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
7350.2.a.bv	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1050.2.i.g	$1$	$0$	$1$	$-1$	$0$	$0$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
7350.2.a.bw	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓	✓			7350.2.a.l	$1$	$1$	$1$	$-1$	$0$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
7350.2.a.bx	$7350$	$2$	7350.a	1.a	$1$	$1$	$1$	$58.690$	$\Q$	None	✓				1470.2.g.c	$1$	$0$	$1$	$-1$	$0$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$

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 $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 99 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.