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 104 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2310.2.a.a	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.b	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.c	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-1\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.d	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(1\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.e	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(-1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.f	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-1\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.g	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-1\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.h	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-1\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.i	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(-1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.j	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(1\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.k	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(1\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.l	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.m	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(-1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.n	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(1\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.o	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.p	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.q	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(-1\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.r	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(-1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.s	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(-1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.t	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(-1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.u	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(-1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.v	$2310$	$2$	2310.a	1.a	$1$	$1$	$1$	$18.445$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.w	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(-2\)	\(2\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.x	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(2\)	\(-2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.y	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(2\)	\(2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.z	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(2\)	\(-2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.ba	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(-2\)	\(-2\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.bb	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(-2\)	\(2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.bc	$2310$	$2$	2310.a	1.a	$1$	$2$	$2$	$18.445$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(2\)	\(-2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.bd	$2310$	$2$	2310.a	1.a	$1$	$3$	$3$	$18.445$	3.3.148.1	None	✓	$1$	$0$	\(3\)	\(3\)	\(3\)	\(3\)	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.d.a	$2310$	$2$	2310.d	385.h	$2$	$24$	$24$	$18.445$		None		$2$	$0$	\(-24\)	\(-24\)	\(-2\)	\(-2\)			$\mathrm{SU}(2)[C_{2}]$
2310.2.d.b	$2310$	$2$	2310.d	385.h	$2$	$24$	$24$	$18.445$		None		$2$	$0$	\(-24\)	\(24\)	\(2\)	\(-2\)			$\mathrm{SU}(2)[C_{2}]$
2310.2.d.c	$2310$	$2$	2310.d	385.h	$2$	$24$	$24$	$18.445$		None		$2$	$0$	\(24\)	\(-24\)	\(-2\)	\(2\)			$\mathrm{SU}(2)[C_{2}]$
2310.2.d.d	$2310$	$2$	2310.d	385.h	$2$	$24$	$24$	$18.445$		None		$2$	$0$	\(24\)	\(24\)	\(2\)	\(2\)			$\mathrm{SU}(2)[C_{2}]$
2310.2.e.a	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	\(\Q(\sqrt{-1}) \)	None		$2$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}+iq^{3}-q^{4}+(-2+i)q^{5}+\cdots\)
2310.2.e.b	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}+iq^{3}-q^{4}+(-2-i)q^{5}+\cdots\)
2310.2.e.c	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}-iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
2310.2.e.d	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}+iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
2310.2.e.e	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}-iq^{3}-q^{4}+(1-2i)q^{5}+q^{6}+\cdots\)
2310.2.e.f	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}-q^{6}+\cdots\)
2310.2.e.g	$2310$	$2$	2310.e	5.b	$2$	$2$	$2$	$18.445$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}-iq^{3}-q^{4}+(2-i)q^{5}+q^{6}+\cdots\)
2310.2.e.h	$2310$	$2$	2310.e	5.b	$2$	$4$	$4$	$18.445$	\(\Q(i, \sqrt{5})\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}+\beta _{3}q^{5}-q^{6}+\cdots\)
2310.2.e.i	$2310$	$2$	2310.e	5.b	$2$	$6$	$6$	$18.445$	6.0.350464.1	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{3}q^{5}-q^{6}+\cdots\)
2310.2.e.j	$2310$	$2$	2310.e	5.b	$2$	$6$	$6$	$18.445$	6.0.350464.1	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{4}q^{5}-q^{6}+\cdots\)
2310.2.e.k	$2310$	$2$	2310.e	5.b	$2$	$6$	$6$	$18.445$	6.0.350464.1	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}+\beta _{4}q^{5}+q^{6}+\cdots\)
2310.2.e.l	$2310$	$2$	2310.e	5.b	$2$	$6$	$6$	$18.445$	6.0.350464.1	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}-\beta _{4}q^{5}+q^{6}+\cdots\)
2310.2.e.m	$2310$	$2$	2310.e	5.b	$2$	$6$	$6$	$18.445$	6.0.350464.1	None		$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}-\beta _{5}q^{5}+q^{6}+\cdots\)
2310.2.e.n	$2310$	$2$	2310.e	5.b	$2$	$8$	$8$	$18.445$	8.0.110166016.2	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{5}q^{2}-\beta _{5}q^{3}-q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
2310.2.e.o	$2310$	$2$	2310.e	5.b	$2$	$8$	$8$	$18.445$	8.0.309760000.3	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{4}q^{2}-\beta _{4}q^{3}-q^{4}+\beta _{7}q^{5}-q^{6}+\cdots\)
2310.2.g.a	$2310$	$2$	2310.g	33.d	$2$	$4$	$4$	$18.445$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(-4\)	\(-4\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-q^{2}+(-1+\zeta_{8}+\zeta_{8}^{2})q^{3}+q^{4}+\cdots\)