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 83 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3330.2.a.a	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-3q^{7}-q^{8}+q^{10}+\cdots\)
3330.2.a.b	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-1\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-3q^{7}-q^{8}+q^{10}+\cdots\)
3330.2.a.c	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-4q^{11}+\cdots\)
3330.2.a.d	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+2q^{7}-q^{8}+q^{10}+\cdots\)
3330.2.a.e	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+3q^{7}-q^{8}+q^{10}+\cdots\)
3330.2.a.f	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(1\)	\(-5\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-5q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.g	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(1\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-3q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.h	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.i	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(1\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-2q^{11}+\cdots\)
3330.2.a.j	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(1\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+2q^{11}+\cdots\)
3330.2.a.k	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(1\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+4q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.l	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(1\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+4q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.m	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-1\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.n	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-1\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}-3q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.o	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-1\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+2q^{11}+\cdots\)
3330.2.a.p	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-1\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.q	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-1\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+3q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.r	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-1\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+4q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.s	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(1\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.t	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(1\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}-3q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.u	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(1\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.v	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(1\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.w	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(1\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+4q^{11}+\cdots\)
3330.2.a.x	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.y	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.z	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(1\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+3q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.ba	$3330$	$2$	3330.a	1.a	$1$	$1$	$1$	$26.590$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(1\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+4q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.bb	$3330$	$2$	3330.a	1.a	$1$	$2$	$2$	$26.590$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-2\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+(-1-\beta )q^{7}-q^{8}+\cdots\)
3330.2.a.bc	$3330$	$2$	3330.a	1.a	$1$	$2$	$2$	$26.590$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(2\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.bd	$3330$	$2$	3330.a	1.a	$1$	$2$	$2$	$26.590$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-2\)	\(-6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+(-3+\beta )q^{7}+q^{8}+\cdots\)
3330.2.a.be	$3330$	$2$	3330.a	1.a	$1$	$2$	$2$	$26.590$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-2\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}-\beta q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.bf	$3330$	$2$	3330.a	1.a	$1$	$2$	$2$	$26.590$	\(\Q(\sqrt{113}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-2\)	\(6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+3q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.bg	$3330$	$2$	3330.a	1.a	$1$	$3$	$3$	$26.590$	3.3.892.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(3\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-\beta _{1}q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.bh	$3330$	$2$	3330.a	1.a	$1$	$3$	$3$	$26.590$	3.3.316.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+(-1+2\beta _{1})q^{7}+\cdots\)
3330.2.a.bi	$3330$	$2$	3330.a	1.a	$1$	$3$	$3$	$26.590$	3.3.316.1	None	✓	$1$	$0$	\(3\)	\(0\)	\(-3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+(-1+2\beta _{1})q^{7}+\cdots\)
3330.2.a.bj	$3330$	$2$	3330.a	1.a	$1$	$4$	$4$	$26.590$	4.4.54764.1	None	✓	$1$	$0$	\(-4\)	\(0\)	\(-4\)	\(4\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+(1+\beta _{2})q^{7}-q^{8}+\cdots\)
3330.2.a.bk	$3330$	$2$	3330.a	1.a	$1$	$5$	$5$	$26.590$	5.5.23544108.1	None	✓	$1$	$0$	\(-5\)	\(0\)	\(-5\)	\(3\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+(1+\beta _{4})q^{7}-q^{8}+\cdots\)
3330.2.a.bl	$3330$	$2$	3330.a	1.a	$1$	$5$	$5$	$26.590$	5.5.23544108.1	None	✓	$1$	$0$	\(5\)	\(0\)	\(5\)	\(3\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+(1+\beta _{4})q^{7}+q^{8}+\cdots\)
3330.2.d.a	$3330$	$2$	3330.d	5.b	$2$	$2$	$2$	$26.590$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}-q^{4}+(-2+i)q^{5}+2iq^{7}+\cdots\)
3330.2.d.b	$3330$	$2$	3330.d	5.b	$2$	$2$	$2$	$26.590$	\(\Q(\sqrt{-1}) \)	None		$2$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}-q^{4}+(-2+i)q^{5}+2iq^{7}+\cdots\)
3330.2.d.c	$3330$	$2$	3330.d	5.b	$2$	$2$	$2$	$26.590$	\(\Q(\sqrt{-1}) \)	None		$2$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}-q^{4}+(-1-2i)q^{5}+iq^{7}+\cdots\)
3330.2.d.d	$3330$	$2$	3330.d	5.b	$2$	$2$	$2$	$26.590$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}-q^{4}+(-1+2i)q^{5}+iq^{7}+\cdots\)
3330.2.d.e	$3330$	$2$	3330.d	5.b	$2$	$2$	$2$	$26.590$	\(\Q(\sqrt{-1}) \)	None		$2$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}-q^{4}+(1-2i)q^{5}+5iq^{7}+\cdots\)
3330.2.d.f	$3330$	$2$	3330.d	5.b	$2$	$2$	$2$	$26.590$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}-q^{4}+(2-i)q^{5}+2iq^{7}-iq^{8}+\cdots\)
3330.2.d.g	$3330$	$2$	3330.d	5.b	$2$	$2$	$2$	$26.590$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}-q^{4}+(2+i)q^{5}+2iq^{7}+iq^{8}+\cdots\)
3330.2.d.h	$3330$	$2$	3330.d	5.b	$2$	$4$	$4$	$26.590$	\(\Q(i, \sqrt{6})\)	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}-q^{4}+(-1-\beta _{2}-\beta _{3})q^{5}+\cdots\)
3330.2.d.i	$3330$	$2$	3330.d	5.b	$2$	$4$	$4$	$26.590$	\(\Q(\zeta_{12})\)	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\zeta_{12}q^{2}-q^{4}+(-1-2\zeta_{12})q^{5}+\cdots\)
3330.2.d.j	$3330$	$2$	3330.d	5.b	$2$	$4$	$4$	$26.590$	\(\Q(i, \sqrt{5})\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}-q^{4}-\beta _{2}q^{5}-2\beta _{1}q^{7}-\beta _{1}q^{8}+\cdots\)
3330.2.d.k	$3330$	$2$	3330.d	5.b	$2$	$4$	$4$	$26.590$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-\zeta_{8}^{2}q^{2}-q^{4}+(\zeta_{8}+2\zeta_{8}^{3})q^{5}+(\zeta_{8}+\cdots)q^{7}+\cdots\)
3330.2.d.l	$3330$	$2$	3330.d	5.b	$2$	$4$	$4$	$26.590$	\(\Q(\zeta_{12})\)	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\zeta_{12}q^{2}-q^{4}+(1+2\zeta_{12})q^{5}+(\zeta_{12}+\cdots)q^{7}+\cdots\)