Newform search results

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

Results (displaying both 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
15.12.a.c	$15$	$12$	15.a	1.a	$1$	$2$	$2$	$11.525$	\(\Q(\sqrt{1801}) \)	None	✓	$1$	$0$	\(-13\)	\(-486\)	\(-6250\)	\(7784\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-6-\beta )q^{2}-3^{5}q^{3}+(-1562+13\beta )q^{4}+\cdots\)
15.12.a.d	$15$	$12$	15.a	1.a	$1$	$3$	$3$	$11.525$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(729\)	\(9375\)	\(-14608\)		$-$	$-$	$+$	$2\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+3^{5}q^{3}+(1585+3\beta _{1}+\beta _{2})q^{4}+\cdots\)