Newform search results

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

Results (6 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3
48.22.a.d	$48$	$22$	48.a	1.a	$1$	$1$	$1$	$134.149$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(59049\)	\(-41512770\)	\(-538429808\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3^{10}q^{3}-41512770q^{5}-538429808q^{7}+\cdots\)
48.22.a.e	$48$	$22$	48.a	1.a	$1$	$1$	$1$	$134.149$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(59049\)	\(3109950\)	\(-363303920\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3^{10}q^{3}+3109950q^{5}-363303920q^{7}+\cdots\)
48.22.a.f	$48$	$22$	48.a	1.a	$1$	$1$	$1$	$134.149$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(59049\)	\(12954174\)	\(479513104\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3^{10}q^{3}+12954174q^{5}+479513104q^{7}+\cdots\)
48.22.a.h	$48$	$22$	48.a	1.a	$1$	$2$	$2$	$134.149$	\(\Q(\sqrt{537541}) \)	None	✓	$1$	$1$	\(0\)	\(-118098\)	\(21948620\)	\(659451408\)		$+$	$+$	$+$	$2^{7}\cdot 3^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q-3^{10}q^{3}+(10974310-5\beta )q^{5}+(329725704+\cdots)q^{7}+\cdots\)
48.22.a.i	$48$	$22$	48.a	1.a	$1$	$2$	$2$	$134.149$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(118098\)	\(28827900\)	\(-509669728\)		$-$	$-$	$+$	$2^{7}\cdot 3^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+3^{10}q^{3}+(14413950-5\beta )q^{5}+(-254834864+\cdots)q^{7}+\cdots\)
48.22.a.j	$48$	$22$	48.a	1.a	$1$	$3$	$3$	$134.149$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-177147\)	\(5280498\)	\(-852542376\)		$+$	$+$	$+$	$2^{21}\cdot 3^{4}\cdot 7$	$\mathrm{SU}(2)$	\(q-3^{10}q^{3}+(1760166-\beta _{1})q^{5}+(-284180792+\cdots)q^{7}+\cdots\)