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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (1-50 of 66 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	5	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7600.2.a.a	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$0$	$-5$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-5q^{7}+6q^{9}+4q^{11}+q^{13}+\cdots$
7600.2.a.b	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$0$	$0$	$-2$	$0$	$-3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-3q^{7}+q^{9}+3q^{11}+4q^{13}+\cdots$
7600.2.a.c	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$0$	$0$	$-2$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{7}+q^{9}-3q^{11}+4q^{13}+\cdots$
7600.2.a.d	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{9}+4q^{11}-4q^{13}+2q^{17}+\cdots$
7600.2.a.e	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$0$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+2q^{7}+q^{9}-4q^{11}-8q^{17}+\cdots$
7600.2.a.f	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$0$	$0$	$-2$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+4q^{7}+q^{9}-4q^{11}+4q^{13}+\cdots$
7600.2.a.g	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}-2q^{9}+3q^{13}+7q^{17}+\cdots$
7600.2.a.h	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{7}-2q^{9}-2q^{11}+q^{13}+\cdots$
7600.2.a.i	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-3q^{9}+4q^{11}-2q^{13}+4q^{17}+\cdots$
7600.2.a.j	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-3q^{9}+4q^{11}+4q^{13}-6q^{17}+\cdots$
7600.2.a.k	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{9}+4q^{11}+6q^{13}+6q^{17}+q^{19}+\cdots$
7600.2.a.l	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-3q^{9}+4q^{11}+2q^{13}-4q^{17}+\cdots$
7600.2.a.m	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}-2q^{9}+q^{13}+3q^{17}+\cdots$
7600.2.a.n	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}-2q^{9}+6q^{11}-5q^{13}+\cdots$
7600.2.a.o	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$3$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{7}-2q^{9}-2q^{11}-q^{13}+\cdots$
7600.2.a.p	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$0$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-3q^{7}+q^{9}-5q^{11}+4q^{13}+\cdots$
7600.2.a.q	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-2q^{7}+q^{9}-4q^{11}+8q^{17}+\cdots$
7600.2.a.r	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$0$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+2q^{7}+q^{9}-6q^{13}-2q^{17}+\cdots$
7600.2.a.s	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$0$	$0$	$2$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+4q^{7}+q^{9}+4q^{11}-6q^{17}+\cdots$
7600.2.a.t	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$0$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-q^{7}+6q^{9}-4q^{11}-q^{13}+\cdots$
7600.2.a.u	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$-4$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-2+\beta )q^{3}+(-2-2\beta )q^{7}+(3-4\beta )q^{9}+\cdots$
7600.2.a.v	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$-2$	$0$	$-6$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+(-3-\beta )q^{7}-2\beta q^{9}+\cdots$
7600.2.a.w	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$-2$	$0$	$0$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{3}+2\beta q^{7}+(3+2\beta )q^{9}+\cdots$
7600.2.a.x	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+(1-\beta )q^{7}-2\beta q^{9}+\cdots$
7600.2.a.y	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$-1$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}-\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots$
7600.2.a.z	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+(-2+2\beta )q^{7}-q^{9}+(-2+\cdots)q^{11}+\cdots$
7600.2.a.ba	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+2\beta q^{7}-q^{9}+(-2-2\beta )q^{11}+\cdots$
7600.2.a.bb	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+(2+2\beta )q^{7}-q^{9}+(-2-2\beta )q^{11}+\cdots$
7600.2.a.bc	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+(-1-\beta )q^{7}+2\beta q^{9}+\cdots$
7600.2.a.bd	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+(1+2\beta )q^{9}-2q^{11}+(-1+\cdots)q^{13}+\cdots$
7600.2.a.be	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$0$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}-2\beta q^{7}+(3+2\beta )q^{9}+(1+\cdots)q^{13}+\cdots$
7600.2.a.bf	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+2q^{7}+(1+2\beta )q^{9}+2\beta q^{11}+\cdots$
7600.2.a.bg	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$6$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+(3-\beta )q^{7}+2\beta q^{9}-\beta q^{11}+\cdots$
7600.2.a.bh	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.169.1	None	✓	$1$	$0$	$0$	$-2$	$0$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}+(-1-\beta _{1})q^{7}+(1+\cdots)q^{9}+\cdots$
7600.2.a.bi	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.568.1	None	✓	$1$	$1$	$0$	$-2$	$0$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}+(-1-\beta _{1})q^{7}+(2+\cdots)q^{9}+\cdots$
7600.2.a.bj	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.257.1	None	✓	$1$	$1$	$0$	$-2$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}+(-1+\beta _{1})q^{7}+(1+\cdots)q^{9}+\cdots$
7600.2.a.bk	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.993.1	None	✓	$1$	$1$	$0$	$-2$	$0$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}+(-1+\beta _{2})q^{7}+(2+\cdots)q^{9}+\cdots$
7600.2.a.bl	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.321.1	None	✓	$1$	$1$	$0$	$-2$	$0$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{3}+(-1+2\beta _{1}+\beta _{2})q^{7}+\cdots$
7600.2.a.bm	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.257.1	None	✓	$1$	$1$	$0$	$-2$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1}+\beta _{2})q^{3}+(-1+\beta _{1}-2\beta _{2})q^{7}+\cdots$
7600.2.a.bn	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$0$	$-2$	$0$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{3}+(1-2\beta _{1}+\beta _{2})q^{7}+\cdots$
7600.2.a.bo	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.568.1	None	✓	$1$	$0$	$0$	$-1$	$0$	$-5$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+(-2-\beta _{2})q^{7}+(1+2\beta _{1}+\cdots)q^{9}+\cdots$
7600.2.a.bp	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.316.1	None	✓	$1$	$1$	$0$	$-1$	$0$	$-1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+(-1+2\beta _{1}-\beta _{2})q^{7}+\beta _{2}q^{9}+\cdots$
7600.2.a.bq	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.229.1	None	✓	$1$	$1$	$0$	$-1$	$0$	$-1$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{3}+\beta _{1}q^{7}+(1-\beta _{1})q^{9}+(-2+\cdots)q^{13}+\cdots$
7600.2.a.br	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	$\Q(\zeta_{18})^+$	None	✓	$1$	$0$	$0$	$0$	$0$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+(-\beta _{1}+2\beta _{2})q^{7}+(-1+\beta _{2})q^{9}+\cdots$
7600.2.a.bs	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	$\Q(\zeta_{18})^+$	None	✓	$1$	$1$	$0$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+(\beta _{1}-2\beta _{2})q^{7}+(-1+\beta _{2})q^{9}+\cdots$
7600.2.a.bt	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.257.1	None	✓	$1$	$0$	$0$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{3}+\beta _{2}q^{7}+(\beta _{1}-\beta _{2})q^{9}+(1+\cdots)q^{11}+\cdots$
7600.2.a.bu	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.257.1	None	✓	$1$	$1$	$0$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{3}-\beta _{2}q^{7}+(\beta _{1}-\beta _{2})q^{9}+(1+\cdots)q^{11}+\cdots$
7600.2.a.bv	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.961.1	None	✓	$1$	$0$	$0$	$1$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+(2-\beta _{1}+\beta _{2})q^{7}+(5-\beta _{1}+\cdots)q^{9}+\cdots$
7600.2.a.bw	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$0$	$2$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}+(1-\beta _{1}+2\beta _{2})q^{7}+(-2\beta _{1}+\cdots)q^{9}+\cdots$
7600.2.a.bx	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.148.1	None	✓	$1$	$1$	$0$	$2$	$0$	$0$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}+(\beta _{1}-\beta _{2})q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$

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