LMFDB - Newform search results

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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

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Results (1-50 of 102 matches)

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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				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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2550.2.a.a	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.a	$1$	$0$	$-1$	$-1$	$0$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-3q^{7}-q^{8}+\cdots$
2550.2.a.b	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓				510.2.a.g	$1$	$0$	$-1$	$-1$	$0$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-2q^{7}-q^{8}+\cdots$
2550.2.a.c	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓				102.2.a.c	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
2550.2.a.d	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓				510.2.a.f	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
2550.2.a.e	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.e	$1$	$0$	$-1$	$-1$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
2550.2.a.f	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.f	$1$	$1$	$-1$	$-1$	$0$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}+3q^{7}-q^{8}+\cdots$
2550.2.a.g	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.g	$1$	$1$	$-1$	$-1$	$0$	$5$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}+5q^{7}-q^{8}+\cdots$
2550.2.a.h	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.h	$1$	$0$	$-1$	$1$	$0$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\cdots$
2550.2.a.i	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓				510.2.a.d	$1$	$1$	$-1$	$1$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-2q^{7}-q^{8}+\cdots$
2550.2.a.j	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.j	$1$	$1$	$-1$	$1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$
2550.2.a.k	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.k	$1$	$0$	$-1$	$1$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$
2550.2.a.l	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓				510.2.a.e	$1$	$0$	$-1$	$1$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
2550.2.a.m	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.m	$1$	$1$	$-1$	$1$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
2550.2.a.n	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓				510.2.a.c	$1$	$0$	$-1$	$1$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+4q^{7}-q^{8}+\cdots$
2550.2.a.o	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓				510.2.d.a	$1$	$0$	$-1$	$1$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+4q^{7}-q^{8}+\cdots$
2550.2.a.p	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.p	$1$	$0$	$-1$	$1$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+4q^{7}-q^{8}+\cdots$
2550.2.a.q	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.q	$1$	$0$	$-1$	$1$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+4q^{7}-q^{8}+\cdots$
2550.2.a.r	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.p	$1$	$0$	$1$	$-1$	$0$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots$
2550.2.a.s	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓				510.2.d.a	$1$	$1$	$1$	$-1$	$0$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots$
2550.2.a.t	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.q	$1$	$0$	$1$	$-1$	$0$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots$
2550.2.a.u	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓				102.2.a.b	$1$	$1$	$1$	$-1$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots$
2550.2.a.v	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.m	$1$	$1$	$1$	$-1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots$
2550.2.a.w	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.j	$1$	$1$	$1$	$-1$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$
2550.2.a.x	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.k	$1$	$0$	$1$	$-1$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$
2550.2.a.y	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓				510.2.a.b	$1$	$0$	$1$	$-1$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+2q^{7}+q^{8}+\cdots$
2550.2.a.z	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.h	$1$	$0$	$1$	$-1$	$0$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+3q^{7}+q^{8}+\cdots$
2550.2.a.ba	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.g	$1$	$1$	$1$	$1$	$0$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}-5q^{7}+q^{8}+\cdots$
2550.2.a.bb	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓	✓	✓	2550.2.a.f	$1$	$1$	$1$	$1$	$0$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}-3q^{7}+q^{8}+\cdots$
2550.2.a.bc	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓				510.2.a.a	$1$	$1$	$1$	$1$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots$
2550.2.a.bd	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.e	$1$	$0$	$1$	$1$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots$
2550.2.a.be	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓				102.2.a.a	$1$	$0$	$1$	$1$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots$
2550.2.a.bf	$2550$	$2$	2550.a	1.a	$1$	$1$	$1$	$20.362$	$\Q$	None	✓	✓			2550.2.a.a	$1$	$0$	$1$	$1$	$0$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+3q^{7}+q^{8}+\cdots$
2550.2.a.bg	$2550$	$2$	2550.a	1.a	$1$	$2$	$2$	$20.362$	$\Q(\sqrt{33}) $	None	✓	✓	✓		2550.2.a.bg	$1$	$0$	$-2$	$-2$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-\beta q^{7}-q^{8}+\cdots$
2550.2.a.bh	$2550$	$2$	2550.a	1.a	$1$	$2$	$2$	$20.362$	$\Q(\sqrt{5}) $	None	✓		✓		510.2.d.b	$1$	$1$	$-2$	$2$	$0$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+(-1-\beta )q^{7}+\cdots$
2550.2.a.bi	$2550$	$2$	2550.a	1.a	$1$	$2$	$2$	$20.362$	$\Q(\sqrt{6}) $	None	✓		✓		510.2.d.c	$1$	$0$	$-2$	$2$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+\beta q^{7}-q^{8}+\cdots$
2550.2.a.bj	$2550$	$2$	2550.a	1.a	$1$	$2$	$2$	$20.362$	$\Q(\sqrt{6}) $	None	✓		✓		510.2.d.c	$1$	$1$	$2$	$-2$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+\beta q^{7}+q^{8}+\cdots$
2550.2.a.bk	$2550$	$2$	2550.a	1.a	$1$	$2$	$2$	$20.362$	$\Q(\sqrt{5}) $	None	✓		✓		510.2.d.b	$1$	$0$	$2$	$-2$	$0$	$2$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+(1+\beta )q^{7}+\cdots$
2550.2.a.bl	$2550$	$2$	2550.a	1.a	$1$	$2$	$2$	$20.362$	$\Q(\sqrt{6}) $	None	✓		✓		510.2.a.h	$1$	$0$	$2$	$2$	$0$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+\beta q^{7}+q^{8}+\cdots$
2550.2.a.bm	$2550$	$2$	2550.a	1.a	$1$	$2$	$2$	$20.362$	$\Q(\sqrt{33}) $	None	✓	✓			2550.2.a.bg	$1$	$0$	$2$	$2$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+\beta q^{7}+q^{8}+\cdots$
2550.2.a.bn	$2550$	$2$	2550.a	1.a	$1$	$3$	$3$	$20.362$	3.3.568.1	None	✓		✓		510.2.d.d	$1$	$1$	$-3$	$-3$	$0$	$-6$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}+(-2-\beta _{1}+\cdots)q^{7}+\cdots$
2550.2.a.bo	$2550$	$2$	2550.a	1.a	$1$	$3$	$3$	$20.362$	3.3.568.1	None	✓		✓		510.2.d.d	$1$	$0$	$3$	$3$	$0$	$6$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+(2+\beta _{1})q^{7}+\cdots$
2550.2.c.a	$2550$	$2$	2550.c	17.b	$2$	$2$	$2$	$20.362$	$\Q(\sqrt{-1}) $	None		✓			2550.2.c.a	$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+i q^{3}+q^{4}-i q^{6}+2 i q^{7}+\cdots$
2550.2.c.b	$2550$	$2$	2550.c	17.b	$2$	$2$	$2$	$20.362$	$\Q(\sqrt{-1}) $	None					510.2.c.b	$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+i q^{3}+q^{4}-i q^{6}+2 i q^{7}+\cdots$
2550.2.c.c	$2550$	$2$	2550.c	17.b	$2$	$2$	$2$	$20.362$	$\Q(\sqrt{-1}) $	None		✓			2550.2.c.c	$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}-i q^{3}+q^{4}+i q^{6}+i q^{7}+\cdots$
2550.2.c.d	$2550$	$2$	2550.c	17.b	$2$	$2$	$2$	$20.362$	$\Q(\sqrt{-1}) $	None		✓			2550.2.c.d	$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}-i q^{3}+q^{4}+i q^{6}+3 i q^{7}+\cdots$
2550.2.c.e	$2550$	$2$	2550.c	17.b	$2$	$2$	$2$	$20.362$	$\Q(\sqrt{-1}) $	None		✓			2550.2.c.e	$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}-i q^{3}+q^{4}+i q^{6}+3 i q^{7}+\cdots$
2550.2.c.f	$2550$	$2$	2550.c	17.b	$2$	$2$	$2$	$20.362$	$\Q(\sqrt{-1}) $	None					102.2.b.a	$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+i q^{3}+q^{4}-i q^{6}+2 i q^{7}+\cdots$
2550.2.c.g	$2550$	$2$	2550.c	17.b	$2$	$2$	$2$	$20.362$	$\Q(\sqrt{-1}) $	None		✓			2550.2.c.e	$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}-i q^{3}+q^{4}-i q^{6}+3 i q^{7}+\cdots$
2550.2.c.h	$2550$	$2$	2550.c	17.b	$2$	$2$	$2$	$20.362$	$\Q(\sqrt{-1}) $	None					510.2.c.a	$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}-i q^{3}+q^{4}-i q^{6}+q^{8}+\cdots$
2550.2.c.i	$2550$	$2$	2550.c	17.b	$2$	$2$	$2$	$20.362$	$\Q(\sqrt{-1}) $	None		✓			2550.2.c.c	$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}-i q^{3}+q^{4}-i q^{6}+i q^{7}+\cdots$

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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.