Newform search results

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 148 matches)

 

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1650.2.a.a	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(0\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}-3q^{7}-q^{8}+\cdots\)
1650.2.a.b	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
1650.2.a.c	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\cdots\)
1650.2.a.d	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(0\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\cdots\)
1650.2.a.e	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(0\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}-4q^{7}-q^{8}+\cdots\)
1650.2.a.f	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\cdots\)
1650.2.a.g	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
1650.2.a.h	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
1650.2.a.i	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots\)
1650.2.a.j	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots\)
1650.2.a.k	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}+4q^{7}-q^{8}+\cdots\)
1650.2.a.l	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(0\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
1650.2.a.m	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(0\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
1650.2.a.n	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(0\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
1650.2.a.o	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(0\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots\)
1650.2.a.p	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(0\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}+3q^{7}+q^{8}+\cdots\)
1650.2.a.q	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(0\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots\)
1650.2.a.r	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
1650.2.a.s	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(0\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{6}+3q^{7}+q^{8}+\cdots\)
1650.2.a.t	$1650$	$2$	1650.a	1.a	$1$	$1$	$1$	$13.175$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{6}+4q^{7}+q^{8}+\cdots\)
1650.2.a.u	$1650$	$2$	1650.a	1.a	$1$	$2$	$2$	$13.175$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(0\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}+(-2+\beta )q^{7}+\cdots\)
1650.2.a.v	$1650$	$2$	1650.a	1.a	$1$	$2$	$2$	$13.175$	\(\Q(\sqrt{73}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(0\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}+\beta q^{7}-q^{8}+\cdots\)
1650.2.a.w	$1650$	$2$	1650.a	1.a	$1$	$2$	$2$	$13.175$	\(\Q(\sqrt{10}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}+(2+\beta )q^{7}+\cdots\)
1650.2.a.x	$1650$	$2$	1650.a	1.a	$1$	$2$	$2$	$13.175$	\(\Q(\sqrt{10}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(0\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}+(-2+\beta )q^{7}+\cdots\)
1650.2.a.y	$1650$	$2$	1650.a	1.a	$1$	$2$	$2$	$13.175$	\(\Q(\sqrt{73}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(0\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{6}-\beta q^{7}+q^{8}+\cdots\)
1650.2.a.z	$1650$	$2$	1650.a	1.a	$1$	$2$	$2$	$13.175$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{6}+(2+\beta )q^{7}+\cdots\)
1650.2.c.a	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}+iq^{3}-q^{4}-q^{6}+4iq^{7}+\cdots\)
1650.2.c.b	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}+iq^{3}-q^{4}-q^{6}+iq^{7}-iq^{8}+\cdots\)
1650.2.c.c	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}-iq^{3}-q^{4}-q^{6}+2iq^{7}+\cdots\)
1650.2.c.d	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}-iq^{3}-q^{4}-q^{6}+2iq^{7}+\cdots\)
1650.2.c.e	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}-iq^{3}-q^{4}-q^{6}+4iq^{7}+\cdots\)
1650.2.c.f	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}+iq^{3}-q^{4}-q^{6}+3iq^{7}+\cdots\)
1650.2.c.g	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}+iq^{3}-q^{4}-q^{6}-iq^{8}-q^{9}+\cdots\)
1650.2.c.h	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}-iq^{3}-q^{4}-q^{6}+2iq^{7}+\cdots\)
1650.2.c.i	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}+iq^{3}-q^{4}+q^{6}+iq^{8}-q^{9}+\cdots\)
1650.2.c.j	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}-iq^{3}-q^{4}+q^{6}+4iq^{7}+\cdots\)
1650.2.c.k	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}-iq^{3}-q^{4}+q^{6}+3iq^{7}+\cdots\)
1650.2.c.l	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}-iq^{3}-q^{4}+q^{6}-iq^{8}-q^{9}+\cdots\)
1650.2.c.m	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}+iq^{3}-q^{4}+q^{6}+2iq^{7}+\cdots\)
1650.2.c.n	$1650$	$2$	1650.c	5.b	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}+iq^{3}-q^{4}+q^{6}+2iq^{7}+\cdots\)
1650.2.c.o	$1650$	$2$	1650.c	5.b	$2$	$4$	$4$	$13.175$	\(\Q(i, \sqrt{73})\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{2}-\beta _{2}q^{3}-q^{4}+q^{6}+\beta _{1}q^{7}+\cdots\)
1650.2.d.a	$1650$	$2$	1650.d	33.d	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-2}) \)	None		$2$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-q^{2}+(1-\beta )q^{3}+q^{4}+(-1+\beta )q^{6}+\cdots\)
1650.2.d.b	$1650$	$2$	1650.d	33.d	$2$	$2$	$2$	$13.175$	\(\Q(\sqrt{-2}) \)	None		$2$	$0$	\(2\)	\(2\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+q^{2}+(1+\beta )q^{3}+q^{4}+(1+\beta )q^{6}+\cdots\)
1650.2.d.c	$1650$	$2$	1650.d	33.d	$2$	$8$	$8$	$13.175$	8.0.2051727616.3	None		$2$	$0$	\(-8\)	\(-2\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots\)
1650.2.d.d	$1650$	$2$	1650.d	33.d	$2$	$8$	$8$	$13.175$	8.0.\(\cdots\).1	None		$2$	$0$	\(-8\)	\(-1\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}-\beta _{7}q^{7}+\cdots\)
1650.2.d.e	$1650$	$2$	1650.d	33.d	$2$	$8$	$8$	$13.175$	8.0.\(\cdots\).1	None		$2$	$0$	\(-8\)	\(1\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-\beta _{7}q^{7}+\cdots\)
1650.2.d.f	$1650$	$2$	1650.d	33.d	$2$	$8$	$8$	$13.175$	8.0.2051727616.3	None		$2$	$0$	\(8\)	\(-2\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+q^{2}+(-\beta _{3}-\beta _{4})q^{3}+q^{4}+(-\beta _{3}+\cdots)q^{6}+\cdots\)
1650.2.d.g	$1650$	$2$	1650.d	33.d	$2$	$8$	$8$	$13.175$	8.0.\(\cdots\).1	None		$2$	$0$	\(8\)	\(-1\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+q^{2}+\beta _{4}q^{3}+q^{4}+\beta _{4}q^{6}-\beta _{7}q^{7}+\cdots\)
1650.2.d.h	$1650$	$2$	1650.d	33.d	$2$	$8$	$8$	$13.175$	8.0.\(\cdots\).1	None		$2$	$0$	\(8\)	\(1\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+q^{2}-\beta _{4}q^{3}+q^{4}-\beta _{4}q^{6}-\beta _{7}q^{7}+\cdots\)
1650.2.d.i	$1650$	$2$	1650.d	33.d	$2$	$12$	$12$	$13.175$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$4$	$0$	\(-12\)	\(0\)	\(0\)	\(0\)		$2^{5}\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}-\beta _{3}q^{7}+\cdots\)