Newform search results

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

Results (5 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	5
5625.2.a.k	$5625$	$2$	5625.a	1.a	$1$	$4$	$4$	$44.916$	\(\Q(\zeta_{15})^+\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-5\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}+(-\beta _{2}+2\beta _{3})q^{7}+(-1-3\beta _{1}+\cdots)q^{13}+\cdots\)
5625.2.a.v	$5625$	$2$	5625.a	1.a	$1$	$8$	$8$	$44.916$	8.8.\(\cdots\).1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{2}+\beta _{4}+\cdots)q^{7}+\cdots\)
5625.2.a.w	$5625$	$2$	5625.a	1.a	$1$	$8$	$8$	$44.916$	8.8.\(\cdots\).1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots\)
5625.2.a.y	$5625$	$2$	5625.a	1.a	$1$	$8$	$8$	$44.916$	8.8.\(\cdots\).2	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-10\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-\beta _{3}+2\beta _{5}+\cdots)q^{7}+\cdots\)
5625.2.a.z	$5625$	$2$	5625.a	1.a	$1$	$8$	$8$	$44.916$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-10\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{2}+\beta _{4}+\cdots)q^{7}+\cdots\)