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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 57 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
4900.2.a.a	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$1$	$0$	$-3$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+6q^{9}-2q^{11}-6q^{13}+2q^{17}+\cdots$
4900.2.a.b	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+6q^{9}+3q^{11}-q^{13}+5q^{17}+\cdots$
4900.2.a.c	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{9}-q^{11}-2q^{13}+4q^{17}+\cdots$
4900.2.a.d	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$0$	$0$	$-2$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{9}-q^{11}-2q^{13}+4q^{17}+\cdots$
4900.2.a.e	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{9}+2q^{13}-6q^{17}+4q^{19}+\cdots$
4900.2.a.f	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{9}+3q^{11}-4q^{13}-2q^{19}+\cdots$
4900.2.a.g	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{9}-3q^{11}-2q^{13}-3q^{17}+\cdots$
4900.2.a.h	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{9}-q^{11}+5q^{13}-q^{17}+\cdots$
4900.2.a.i	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{9}+6q^{11}-2q^{13}+6q^{17}+\cdots$
4900.2.a.j	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{9}-5q^{11}-6q^{13}+4q^{17}+6q^{19}+\cdots$
4900.2.a.k	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{9}-5q^{11}+6q^{13}-4q^{17}+6q^{19}+\cdots$
4900.2.a.l	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{9}-4q^{13}-4q^{17}-4q^{19}+8q^{23}+\cdots$
4900.2.a.m	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{9}+4q^{13}+4q^{17}-4q^{19}-8q^{23}+\cdots$
4900.2.a.n	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{9}-3q^{11}+2q^{13}+3q^{17}+\cdots$
4900.2.a.o	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{9}-q^{11}-5q^{13}+q^{17}+\cdots$
4900.2.a.p	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{9}+3q^{11}-q^{13}-3q^{17}+\cdots$
4900.2.a.q	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{9}+6q^{11}+2q^{13}-6q^{17}+\cdots$
4900.2.a.r	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{9}-q^{11}+2q^{13}-4q^{17}+\cdots$
4900.2.a.s	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$0$	$0$	$2$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{9}-q^{11}+2q^{13}-4q^{17}+\cdots$
4900.2.a.t	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$0$	$0$	$2$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{9}+3q^{11}+4q^{13}-2q^{19}+\cdots$
4900.2.a.u	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$1$	$0$	$3$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+6q^{9}-5q^{11}-3q^{13}-q^{17}+\cdots$
4900.2.a.v	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+6q^{9}-2q^{11}+6q^{13}-2q^{17}+\cdots$
4900.2.a.w	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+6q^{9}+3q^{11}+q^{13}-5q^{17}+\cdots$
4900.2.a.x	$4900$	$2$	4900.a	1.a	$1$	$2$	$2$	$39.127$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$-2$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}-2\beta q^{9}+(-1-2\beta )q^{11}+\cdots$
4900.2.a.y	$4900$	$2$	4900.a	1.a	$1$	$2$	$2$	$39.127$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+2\beta q^{3}+5q^{9}+4q^{11}-3\beta q^{13}+\cdots$
4900.2.a.z	$4900$	$2$	4900.a	1.a	$1$	$2$	$2$	$39.127$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+2\beta q^{9}+(-1+2\beta )q^{11}+\cdots$
4900.2.a.ba	$4900$	$2$	4900.a	1.a	$1$	$3$	$3$	$39.127$	3.3.257.1	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$+$	$3$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{3}+(2-\beta _{1}-\beta _{2})q^{9}+(1-\beta _{2})q^{11}+\cdots$
4900.2.a.bb	$4900$	$2$	4900.a	1.a	$1$	$3$	$3$	$39.127$	3.3.257.1	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$+$	$3$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{3}+(2-\beta _{1}-\beta _{2})q^{9}+(1-\beta _{2})q^{11}+\cdots$
4900.2.a.bc	$4900$	$2$	4900.a	1.a	$1$	$3$	$3$	$39.127$	3.3.257.1	None	✓	$1$	$0$	$0$	$1$	$0$	$0$	$-$	$3$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{3}+(2-\beta _{1}-\beta _{2})q^{9}+(1-\beta _{2})q^{11}+\cdots$
4900.2.a.bd	$4900$	$2$	4900.a	1.a	$1$	$3$	$3$	$39.127$	3.3.257.1	None	✓	$1$	$0$	$0$	$1$	$0$	$0$	$-$	$3$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{3}+(2-\beta _{1}-\beta _{2})q^{9}+(1-\beta _{2})q^{11}+\cdots$
4900.2.a.be	$4900$	$2$	4900.a	1.a	$1$	$4$	$4$	$39.127$	$\Q(\sqrt{3}, \sqrt{19})$	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{3}+(-2-\beta _{3})q^{11}+(2\beta _{1}-2\beta _{2}+\cdots)q^{13}+\cdots$
4900.2.a.bf	$4900$	$2$	4900.a	1.a	$1$	$4$	$4$	$39.127$	$\Q(\sqrt{3}, \sqrt{19})$	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{3}+(-2-\beta _{3})q^{11}+(2\beta _{1}-2\beta _{2}+\cdots)q^{13}+\cdots$
4900.2.a.bg	$4900$	$2$	4900.a	1.a	$1$	$4$	$4$	$39.127$	$\Q(\sqrt{2}, \sqrt{5})$	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+\beta _{3}q^{9}+(-1-2\beta _{3})q^{11}+\cdots$
4900.2.a.bh	$4900$	$2$	4900.a	1.a	$1$	$4$	$4$	$39.127$	$\Q(\zeta_{24})^+$	None	✓	$4$	$1$	$0$	$0$	$0$	$0$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}-q^{11}+\beta _{1}q^{13}-3\beta _{1}q^{17}+\cdots$
4900.2.a.bi	$4900$	$2$	4900.a	1.a	$1$	$4$	$4$	$39.127$	$\Q(\sqrt{2}, \sqrt{5})$	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+\beta _{3}q^{9}+(-1-2\beta _{3})q^{11}+\cdots$
4900.2.a.bj	$4900$	$2$	4900.a	1.a	$1$	$4$	$4$	$39.127$	$\Q(\sqrt{5}, \sqrt{21})$	$\Q(\sqrt{-35}) $	✓	$4$	$0$	$0$	$0$	$0$	$0$	$-$	$2^{3}$	$N(\mathrm{U}(1))$	$q+\beta _{1}q^{3}+(4+\beta _{3})q^{9}+(1-\beta _{3})q^{11}+\cdots$
4900.2.e.a	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+3iq^{3}-6q^{9}-5q^{11}-3iq^{13}+\cdots$
4900.2.e.b	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$1$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+3iq^{3}-6q^{9}-2q^{11}+6iq^{13}+\cdots$
4900.2.e.c	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+3iq^{3}-6q^{9}-2q^{11}+6iq^{13}+\cdots$
4900.2.e.d	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+2iq^{3}-q^{9}-q^{11}+2iq^{13}+4iq^{17}+\cdots$
4900.2.e.e	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+2iq^{3}-q^{9}-q^{11}+2iq^{13}+4iq^{17}+\cdots$
4900.2.e.f	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}-q^{9}-iq^{13}-3iq^{17}-4q^{19}+\cdots$
4900.2.e.g	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+2iq^{3}-q^{9}+3q^{11}+4iq^{13}+2q^{19}+\cdots$
4900.2.e.h	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+2q^{9}-3q^{11}+2iq^{13}-3iq^{17}+\cdots$
4900.2.e.i	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+2q^{9}-3q^{11}+2iq^{13}-3iq^{17}+\cdots$
4900.2.e.j	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+2q^{9}-q^{11}-5iq^{13}-iq^{17}+\cdots$
4900.2.e.k	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+2q^{9}-q^{11}-5iq^{13}-iq^{17}+\cdots$
4900.2.e.l	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+2q^{9}+3q^{11}-iq^{13}+3iq^{17}+\cdots$
4900.2.e.m	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+2q^{9}+6q^{11}+2iq^{13}+6iq^{17}+\cdots$
4900.2.e.n	$4900$	$2$	4900.e	5.b	$2$	$2$	$2$	$39.127$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+2q^{9}+6q^{11}+2iq^{13}+6iq^{17}+\cdots$

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