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 64 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	37	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7104.2.a.a	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				222.2.a.c	$1$	$0$	$0$	$-1$	$-4$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{5}-q^{7}+q^{9}+q^{11}+3q^{13}+\cdots$
7104.2.a.b	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				888.2.a.d	$1$	$1$	$0$	$-1$	$-4$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{5}+q^{9}-2q^{13}+4q^{15}+\cdots$
7104.2.a.c	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				222.2.a.b	$1$	$0$	$0$	$-1$	$-2$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{5}+q^{9}-4q^{11}-6q^{13}+\cdots$
7104.2.a.d	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				3552.2.a.b	$1$	$1$	$0$	$-1$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
7104.2.a.e	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				3552.2.a.c	$1$	$1$	$0$	$-1$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
7104.2.a.f	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				222.2.a.d	$1$	$1$	$0$	$-1$	$0$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-3q^{7}+q^{9}+q^{11}-q^{13}-3q^{17}+\cdots$
7104.2.a.g	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				222.2.a.e	$1$	$1$	$0$	$-1$	$0$	$-1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}+q^{9}-3q^{11}+q^{13}-3q^{17}+\cdots$
7104.2.a.h	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				888.2.a.b	$1$	$0$	$0$	$-1$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}+6q^{13}-4q^{17}+4q^{19}+\cdots$
7104.2.a.i	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				444.2.a.a	$1$	$1$	$0$	$-1$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}+4q^{11}+2q^{13}+6q^{19}+\cdots$
7104.2.a.j	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				3552.2.a.a	$1$	$1$	$0$	$-1$	$0$	$3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{7}+q^{9}-3q^{11}-5q^{13}+\cdots$
7104.2.a.k	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				444.2.a.b	$1$	$0$	$0$	$-1$	$2$	$-4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots$
7104.2.a.l	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				888.2.a.c	$1$	$1$	$0$	$-1$	$2$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots$
7104.2.a.m	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				222.2.a.a	$1$	$0$	$0$	$-1$	$4$	$-3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{5}-3q^{7}+q^{9}+5q^{11}+\cdots$
7104.2.a.n	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				888.2.a.a	$1$	$0$	$0$	$-1$	$4$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{5}+q^{7}+q^{9}-3q^{11}+5q^{13}+\cdots$
7104.2.a.o	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				888.2.a.d	$1$	$1$	$0$	$1$	$-4$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-4q^{5}+q^{9}-2q^{13}-4q^{15}+\cdots$
7104.2.a.p	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				222.2.a.c	$1$	$0$	$0$	$1$	$-4$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-4q^{5}+q^{7}+q^{9}-q^{11}+3q^{13}+\cdots$
7104.2.a.q	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				222.2.a.b	$1$	$0$	$0$	$1$	$-2$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{5}+q^{9}+4q^{11}-6q^{13}+\cdots$
7104.2.a.r	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				3552.2.a.a	$1$	$0$	$0$	$1$	$0$	$-3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{7}+q^{9}+3q^{11}-5q^{13}+\cdots$
7104.2.a.s	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				444.2.a.a	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}-4q^{11}+2q^{13}-6q^{19}+\cdots$
7104.2.a.t	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				888.2.a.b	$1$	$0$	$0$	$1$	$0$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}+6q^{13}-4q^{17}-4q^{19}+\cdots$
7104.2.a.u	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				222.2.a.e	$1$	$1$	$0$	$1$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}+3q^{11}+q^{13}-3q^{17}+\cdots$
7104.2.a.v	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				222.2.a.d	$1$	$1$	$0$	$1$	$0$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{7}+q^{9}-q^{11}-q^{13}-3q^{17}+\cdots$
7104.2.a.w	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				3552.2.a.c	$1$	$0$	$0$	$1$	$0$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
7104.2.a.x	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				3552.2.a.b	$1$	$0$	$0$	$1$	$0$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
7104.2.a.y	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				888.2.a.c	$1$	$1$	$0$	$1$	$2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots$
7104.2.a.z	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				444.2.a.b	$1$	$0$	$0$	$1$	$2$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots$
7104.2.a.ba	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				888.2.a.a	$1$	$0$	$0$	$1$	$4$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{5}-q^{7}+q^{9}+3q^{11}+5q^{13}+\cdots$
7104.2.a.bb	$7104$	$2$	7104.a	1.a	$1$	$1$	$1$	$56.726$	$\Q$	None	✓				222.2.a.a	$1$	$0$	$0$	$1$	$4$	$3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{5}+3q^{7}+q^{9}-5q^{11}+\cdots$
7104.2.a.bc	$7104$	$2$	7104.a	1.a	$1$	$2$	$2$	$56.726$	$\Q(\sqrt{5}) $	None	✓				888.2.a.f	$1$	$0$	$0$	$-2$	$-2$	$-8$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+(-1-\beta )q^{5}-4q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots$
7104.2.a.bd	$7104$	$2$	7104.a	1.a	$1$	$2$	$2$	$56.726$	$\Q(\sqrt{3}) $	None	✓				888.2.a.e	$1$	$1$	$0$	$-2$	$-2$	$4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta )q^{5}+2q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$
7104.2.a.be	$7104$	$2$	7104.a	1.a	$1$	$2$	$2$	$56.726$	$\Q(\sqrt{41}) $	None	✓				888.2.a.h	$1$	$1$	$0$	$-2$	$0$	$3$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(1+\beta )q^{7}+q^{9}+(-1-\beta )q^{11}+\cdots$
7104.2.a.bf	$7104$	$2$	7104.a	1.a	$1$	$2$	$2$	$56.726$	$\Q(\sqrt{6}) $	None	✓				444.2.a.d	$1$	$1$	$0$	$-2$	$0$	$4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+\beta q^{5}+2q^{7}+q^{9}+(-2-2\beta )q^{13}+\cdots$
7104.2.a.bg	$7104$	$2$	7104.a	1.a	$1$	$2$	$2$	$56.726$	$\Q(\sqrt{3}) $	None	✓				444.2.a.c	$1$	$0$	$0$	$-2$	$2$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(1+\beta )q^{5}-2\beta q^{7}+q^{9}-4q^{11}+\cdots$
7104.2.a.bh	$7104$	$2$	7104.a	1.a	$1$	$2$	$2$	$56.726$	$\Q(\sqrt{2}) $	None	✓				888.2.a.g	$1$	$0$	$0$	$-2$	$4$	$-4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(2+\beta )q^{5}+(-2+2\beta )q^{7}+q^{9}+\cdots$
7104.2.a.bi	$7104$	$2$	7104.a	1.a	$1$	$2$	$2$	$56.726$	$\Q(\sqrt{3}) $	None	✓				888.2.a.e	$1$	$1$	$0$	$2$	$-2$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-1+\beta )q^{5}-2q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots$
7104.2.a.bj	$7104$	$2$	7104.a	1.a	$1$	$2$	$2$	$56.726$	$\Q(\sqrt{5}) $	None	✓				888.2.a.f	$1$	$0$	$0$	$2$	$-2$	$8$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+(-1-\beta )q^{5}+4q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$
7104.2.a.bk	$7104$	$2$	7104.a	1.a	$1$	$2$	$2$	$56.726$	$\Q(\sqrt{6}) $	None	✓				444.2.a.d	$1$	$1$	$0$	$2$	$0$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+\beta q^{5}-2q^{7}+q^{9}+(-2-2\beta )q^{13}+\cdots$
7104.2.a.bl	$7104$	$2$	7104.a	1.a	$1$	$2$	$2$	$56.726$	$\Q(\sqrt{41}) $	None	✓				888.2.a.h	$1$	$1$	$0$	$2$	$0$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-1-\beta )q^{7}+q^{9}+(1+\beta )q^{11}+\cdots$
7104.2.a.bm	$7104$	$2$	7104.a	1.a	$1$	$2$	$2$	$56.726$	$\Q(\sqrt{3}) $	None	✓				444.2.a.c	$1$	$0$	$0$	$2$	$2$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(1+\beta )q^{5}+2\beta q^{7}+q^{9}+4q^{11}+\cdots$
7104.2.a.bn	$7104$	$2$	7104.a	1.a	$1$	$2$	$2$	$56.726$	$\Q(\sqrt{2}) $	None	✓				888.2.a.g	$1$	$0$	$0$	$2$	$4$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(2+\beta )q^{5}+(2-2\beta )q^{7}+q^{9}+\cdots$
7104.2.a.bo	$7104$	$2$	7104.a	1.a	$1$	$3$	$3$	$56.726$	3.3.148.1	None	✓				3552.2.a.i	$1$	$1$	$0$	$-3$	$-4$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-2+2\beta _{1}+\beta _{2})q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots$
7104.2.a.bp	$7104$	$2$	7104.a	1.a	$1$	$3$	$3$	$56.726$	3.3.148.1	None	✓				111.2.a.a	$1$	$0$	$0$	$-3$	$-4$	$4$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+(-1-\beta _{2})q^{5}+(2-\beta _{1}-\beta _{2})q^{7}+\cdots$
7104.2.a.bq	$7104$	$2$	7104.a	1.a	$1$	$3$	$3$	$56.726$	3.3.316.1	None	✓				888.2.a.i	$1$	$1$	$0$	$-3$	$-2$	$5$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta _{1}+\beta _{2})q^{5}+(1+2\beta _{1}+\cdots)q^{7}+\cdots$
7104.2.a.br	$7104$	$2$	7104.a	1.a	$1$	$3$	$3$	$56.726$	3.3.568.1	None	✓				888.2.a.j	$1$	$0$	$0$	$-3$	$0$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-\beta _{1}-\beta _{2})q^{5}+\beta _{2}q^{7}+q^{9}+\cdots$
7104.2.a.bs	$7104$	$2$	7104.a	1.a	$1$	$3$	$3$	$56.726$	3.3.148.1	None	✓				3552.2.a.h	$1$	$1$	$0$	$-3$	$2$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(1-\beta _{1})q^{5}+(-1+\beta _{1}+\beta _{2})q^{7}+\cdots$
7104.2.a.bt	$7104$	$2$	7104.a	1.a	$1$	$3$	$3$	$56.726$	3.3.148.1	None	✓				3552.2.a.g	$1$	$0$	$0$	$-3$	$2$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(1-\beta _{1})q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+\cdots$
7104.2.a.bu	$7104$	$2$	7104.a	1.a	$1$	$3$	$3$	$56.726$	3.3.148.1	None	✓				111.2.a.a	$1$	$0$	$0$	$3$	$-4$	$-4$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+(-1-\beta _{2})q^{5}+(-2+\beta _{1}+\beta _{2})q^{7}+\cdots$
7104.2.a.bv	$7104$	$2$	7104.a	1.a	$1$	$3$	$3$	$56.726$	3.3.148.1	None	✓				3552.2.a.i	$1$	$0$	$0$	$3$	$-4$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-2+2\beta _{1}+\beta _{2})q^{5}+(-1+\cdots)q^{7}+\cdots$
7104.2.a.bw	$7104$	$2$	7104.a	1.a	$1$	$3$	$3$	$56.726$	3.3.316.1	None	✓				888.2.a.i	$1$	$1$	$0$	$3$	$-2$	$-5$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-1+\beta _{1}+\beta _{2})q^{5}+(-1-2\beta _{1}+\cdots)q^{7}+\cdots$
7104.2.a.bx	$7104$	$2$	7104.a	1.a	$1$	$3$	$3$	$56.726$	3.3.568.1	None	✓				888.2.a.j	$1$	$0$	$0$	$3$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-\beta _{1}-\beta _{2})q^{5}-\beta _{2}q^{7}+q^{9}+\cdots$

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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.