Newform search results

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

Results (3 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	7
112.10.a.c	$112$	$10$	112.a	1.a	$1$	$2$	$2$	$57.684$	\(\Q(\sqrt{2305}) \)	None	✓	$1$	$0$	\(0\)	\(14\)	\(-2730\)	\(-4802\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(7+5\beta )q^{3}+(-1365-21\beta )q^{5}+\cdots\)
112.10.a.f	$112$	$10$	112.a	1.a	$1$	$2$	$2$	$57.684$	\(\Q(\sqrt{4561}) \)	None	✓	$1$	$0$	\(0\)	\(224\)	\(1596\)	\(-4802\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(112-\beta )q^{3}+(798-9\beta )q^{5}-7^{4}q^{7}+\cdots\)
112.10.a.h	$112$	$10$	112.a	1.a	$1$	$3$	$3$	$57.684$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-84\)	\(1554\)	\(-7203\)		$-$	$+$	$-$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-28+\beta _{1})q^{3}+(518-6\beta _{1}+7\beta _{2})q^{5}+\cdots\)