Newform search results

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

Results (4 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	11
825.4.a.c	$825$	$4$	825.a	1.a	$1$	$1$	$1$	$48.677$	\(\Q\)	None	✓	$1$	$0$	\(-3\)	\(-3\)	\(0\)	\(-7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}-3q^{3}+q^{4}+9q^{6}-7q^{7}+\cdots\)
825.4.a.h	$825$	$4$	825.a	1.a	$1$	$1$	$1$	$48.677$	\(\Q\)	None	✓	$1$	$0$	\(4\)	\(-3\)	\(0\)	\(-21\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-3q^{3}+8q^{4}-12q^{6}-21q^{7}+\cdots\)
825.4.a.w	$825$	$4$	825.a	1.a	$1$	$5$	$5$	$48.677$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-4\)	\(-15\)	\(0\)	\(38\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}-3q^{3}+(9-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
825.4.a.bd	$825$	$4$	825.a	1.a	$1$	$7$	$7$	$48.677$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(-21\)	\(0\)	\(34\)		$+$	$-$	$-$	$+$	$2^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-3q^{3}+(2-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)