Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Results (8 matches)

 

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	17
7803.2.a.g	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(4\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+4q^{5}-2q^{7}+3q^{8}-4q^{10}+\cdots\)
7803.2.a.be	$7803$	$2$	7803.a	1.a	$1$	$3$	$3$	$62.307$	\(\Q(\zeta_{18})^+\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}+(-2\beta _{1}-\beta _{2})q^{7}+(-3\beta _{1}+\cdots)q^{13}+\cdots\)
7803.2.a.bl	$7803$	$2$	7803.a	1.a	$1$	$5$	$5$	$62.307$	5.5.160801.1	None	✓	$1$	$0$	\(3\)	\(0\)	\(-4\)	\(-1\)		$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+(1-\beta _{4})q^{2}+(2+\beta _{2}+\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots\)
7803.2.a.bo	$7803$	$2$	7803.a	1.a	$1$	$6$	$6$	$62.307$	6.6.435306496.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots\)
7803.2.a.bz	$7803$	$2$	7803.a	1.a	$1$	$15$	$15$	$62.307$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(6\)	\(0\)	\(-3\)	\(3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+\beta _{4}q^{5}+(1+\cdots)q^{7}+\cdots\)
7803.2.a.cb	$7803$	$2$	7803.a	1.a	$1$	$18$	$18$	$62.307$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{5}q^{5}+(\beta _{7}+\cdots)q^{7}+\cdots\)
7803.2.a.cf	$7803$	$2$	7803.a	1.a	$1$	$24$	$24$	$62.307$		None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(16\)		$+$	$-$	$-$		$\mathrm{SU}(2)$
7803.2.a.cg	$7803$	$2$	7803.a	1.a	$1$	$24$	$24$	$62.307$		None	✓	$2$	$0$	\(0\)	\(0\)	\(20\)	\(0\)		$+$	$-$	$-$		$\mathrm{SU}(2)$