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 120 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	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
34680.2.a.a	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$-5$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-5q^{7}+q^{9}-q^{13}+q^{15}+\cdots$
34680.2.a.b	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$-3$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-3q^{7}+q^{9}-5q^{11}+q^{15}+\cdots$
34680.2.a.c	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$-2$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-2q^{7}+q^{9}-4q^{11}+4q^{13}+\cdots$
34680.2.a.d	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}-3q^{13}+\cdots$
34680.2.a.e	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}+3q^{13}+q^{15}+\cdots$
34680.2.a.f	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$0$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots$
34680.2.a.g	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}-3q^{11}+6q^{13}+\cdots$
34680.2.a.h	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}+3q^{11}-4q^{13}+\cdots$
34680.2.a.i	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+2q^{7}+q^{9}+q^{15}+4q^{19}+\cdots$
34680.2.a.j	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$3$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+3q^{7}+q^{9}+q^{11}-6q^{13}+\cdots$
34680.2.a.k	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$4$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+4q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots$
34680.2.a.l	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$-4$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-4q^{7}+q^{9}-6q^{13}-q^{15}+\cdots$
34680.2.a.m	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$-4$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-4q^{7}+q^{9}-2q^{13}-q^{15}+\cdots$
34680.2.a.n	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$-2$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-2q^{7}+q^{9}-3q^{11}-4q^{13}+\cdots$
34680.2.a.o	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}-5q^{11}+2q^{13}+\cdots$
34680.2.a.p	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$-1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}-q^{13}+\cdots$
34680.2.a.q	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}-q^{13}+\cdots$
34680.2.a.r	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}-5q^{11}+4q^{13}+\cdots$
34680.2.a.s	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots$
34680.2.a.t	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-5q^{11}-2q^{13}+\cdots$
34680.2.a.u	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+5q^{11}+4q^{13}+\cdots$
34680.2.a.v	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$2$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+2q^{7}+q^{9}-2q^{13}-q^{15}+\cdots$
34680.2.a.w	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$3$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+3q^{7}+q^{9}-5q^{11}-2q^{13}+\cdots$
34680.2.a.x	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$3$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+3q^{7}+q^{9}+2q^{11}-3q^{13}+\cdots$
34680.2.a.y	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$3$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+3q^{7}+q^{9}+4q^{11}-5q^{13}+\cdots$
34680.2.a.z	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$4$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+4q^{7}+q^{9}-4q^{11}-4q^{13}+\cdots$
34680.2.a.ba	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$4$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+4q^{7}+q^{9}-q^{11}+4q^{13}+\cdots$
34680.2.a.bb	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$4$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+4q^{7}+q^{9}+2q^{13}-q^{15}+\cdots$
34680.2.a.bc	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$-4$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-4q^{7}+q^{9}+q^{11}+4q^{13}+\cdots$
34680.2.a.bd	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$-4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-4q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots$
34680.2.a.be	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$-3$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-3q^{7}+q^{9}-4q^{11}-5q^{13}+\cdots$
34680.2.a.bf	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$-3$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-3q^{7}+q^{9}-2q^{11}-3q^{13}+\cdots$
34680.2.a.bg	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$-3$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-3q^{7}+q^{9}+q^{11}-6q^{13}+\cdots$
34680.2.a.bh	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$-2$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-2q^{7}+q^{9}-2q^{13}-q^{15}+\cdots$
34680.2.a.bi	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}+5q^{11}-2q^{13}+\cdots$
34680.2.a.bj	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}-2q^{13}-q^{15}-4q^{19}+\cdots$
34680.2.a.bk	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}+5q^{11}+4q^{13}+\cdots$
34680.2.a.bl	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}-q^{13}+\cdots$
34680.2.a.bm	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}-q^{13}+\cdots$
34680.2.a.bn	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+2q^{7}+q^{9}+3q^{11}-4q^{13}+\cdots$
34680.2.a.bo	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$3$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+3q^{7}+q^{9}+3q^{11}+4q^{13}+\cdots$
34680.2.a.bp	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
34680.2.a.bq	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+4q^{7}+q^{9}-2q^{13}-q^{15}+\cdots$
34680.2.a.br	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$-4$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots$
34680.2.a.bs	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$-1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}+3q^{11}+6q^{13}+\cdots$
34680.2.a.bt	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{9}-2q^{13}+q^{15}+4q^{19}+\cdots$
34680.2.a.bu	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots$
34680.2.a.bv	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}+3q^{13}+q^{15}+\cdots$
34680.2.a.bw	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}+2q^{11}-3q^{13}+\cdots$
34680.2.a.bx	$34680$	$2$	34680.a	1.a	$1$	$1$	$1$	$276.921$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$3$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+3q^{7}+q^{9}-3q^{11}+4q^{13}+\cdots$

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 120 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.