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.d	$825$	$4$	825.a	1.a	$1$	$1$	$1$	$48.677$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(0\)	\(-36\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}-7q^{4}+3q^{6}-6^{2}q^{7}+\cdots\)
825.4.a.k	$825$	$4$	825.a	1.a	$1$	$2$	$2$	$48.677$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(-1\)	\(-6\)	\(0\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-3q^{3}+\beta q^{4}+3\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
825.4.a.q	$825$	$4$	825.a	1.a	$1$	$3$	$3$	$48.677$	3.3.3368.1	None	✓	$1$	$1$	\(1\)	\(-9\)	\(0\)	\(16\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(3+2\beta _{2})q^{4}-3\beta _{1}q^{6}+\cdots\)
825.4.a.r	$825$	$4$	825.a	1.a	$1$	$3$	$3$	$48.677$	3.3.47528.1	None	✓	$1$	$1$	\(2\)	\(-9\)	\(0\)	\(-10\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-3q^{3}+(10+\beta _{2})q^{4}+\cdots\)