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 73 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				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	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6930.2.a.a	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.n	$1$	$1$	$-1$	$0$	$-1$	$-1$	$+$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.b	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.v	$1$	$1$	$-1$	$0$	$-1$	$-1$	$+$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.c	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	✓	✓	✓	6930.2.a.c	$1$	$0$	$-1$	$0$	$-1$	$1$	$+$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.d	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.o	$1$	$0$	$-1$	$0$	$-1$	$1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.e	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	✓			6930.2.a.e	$1$	$1$	$-1$	$0$	$-1$	$1$	$+$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.f	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				770.2.a.g	$1$	$0$	$-1$	$0$	$-1$	$1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.g	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.p	$1$	$0$	$-1$	$0$	$-1$	$1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.h	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.r	$1$	$1$	$-1$	$0$	$1$	$-1$	$+$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.i	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	✓	✓	✓	6930.2.a.i	$1$	$0$	$-1$	$0$	$1$	$-1$	$+$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.j	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.s	$1$	$1$	$-1$	$0$	$1$	$-1$	$+$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.k	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	✓			6930.2.a.k	$1$	$1$	$-1$	$0$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.l	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.q	$1$	$0$	$-1$	$0$	$1$	$-1$	$+$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.m	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.m	$1$	$0$	$-1$	$0$	$1$	$-1$	$+$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.n	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	✓			6930.2.a.n	$1$	$1$	$-1$	$0$	$1$	$1$	$+$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.o	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				770.2.a.f	$1$	$1$	$-1$	$0$	$1$	$1$	$+$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.p	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.t	$1$	$1$	$-1$	$0$	$1$	$1$	$+$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.q	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.u	$1$	$1$	$-1$	$0$	$1$	$1$	$+$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.r	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	✓			6930.2.a.k	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$+$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.s	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				770.2.a.b	$1$	$1$	$1$	$0$	$-1$	$-1$	$-$	$-$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.t	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.j	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.u	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				770.2.a.c	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.v	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	✓	✓	✓	6930.2.a.i	$1$	$1$	$1$	$0$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.w	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.k	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.x	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				770.2.a.d	$1$	$1$	$1$	$0$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.y	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.d	$1$	$1$	$1$	$0$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.z	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.l	$1$	$1$	$1$	$0$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.ba	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	✓			6930.2.a.n	$1$	$0$	$1$	$0$	$-1$	$1$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.bb	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.f	$1$	$0$	$1$	$0$	$1$	$-1$	$-$	$-$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bc	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.b	$1$	$0$	$1$	$0$	$1$	$-1$	$-$	$-$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bd	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.a	$1$	$1$	$1$	$0$	$1$	$-1$	$-$	$-$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.be	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.e	$1$	$1$	$1$	$0$	$1$	$-1$	$-$	$-$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bf	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.c	$1$	$1$	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bg	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.i	$1$	$1$	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bh	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	✓			6930.2.a.e	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$+$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bi	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.g	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bj	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	✓	✓	✓	6930.2.a.c	$1$	$1$	$1$	$0$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bk	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				770.2.a.e	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bl	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				2310.2.a.h	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bm	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓				770.2.a.a	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bn	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{17}) $	None	✓				2310.2.a.bc	$1$	$0$	$-2$	$0$	$-2$	$-2$	$+$	$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.bo	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{33}) $	None	✓		✓		770.2.a.k	$1$	$0$	$-2$	$0$	$-2$	$2$	$+$	$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.bp	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{13}) $	None	✓	✓	✓		6930.2.a.bp	$1$	$1$	$-2$	$0$	$-2$	$2$	$+$	$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.bq	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{2}) $	None	✓		✓		2310.2.a.ba	$1$	$1$	$-2$	$0$	$2$	$-2$	$+$	$-$	$-$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.br	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{2}) $	None	✓		✓		770.2.a.i	$1$	$0$	$-2$	$0$	$2$	$-2$	$+$	$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.bs	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{17}) $	None	✓	✓	✓		6930.2.a.bs	$1$	$1$	$-2$	$0$	$2$	$-2$	$+$	$+$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.bt	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{3}) $	None	✓				2310.2.a.bb	$1$	$0$	$-2$	$0$	$2$	$2$	$+$	$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.bu	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{13}) $	None	✓	✓	✓		6930.2.a.bu	$1$	$1$	$-2$	$0$	$2$	$2$	$+$	$+$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.bv	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{3}) $	None	✓				770.2.a.j	$1$	$0$	$-2$	$0$	$2$	$2$	$+$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.bw	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{3}) $	None	✓		✓		2310.2.a.z	$1$	$1$	$2$	$0$	$-2$	$-2$	$-$	$-$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.bx	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{17}) $	None	✓	✓	✓		6930.2.a.bs	$1$	$0$	$2$	$0$	$-2$	$-2$	$-$	$+$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$

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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.