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
225.6.a.e	$225$	$6$	225.a	1.a	$1$	$1$	$1$	$36.086$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(25\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2^{5}q^{4}+5^{2}q^{7}+775q^{13}+2^{10}q^{16}+\cdots\)
225.6.a.k	$225$	$6$	225.a	1.a	$1$	$2$	$2$	$36.086$	\(\Q(\sqrt{145}) \)	None	✓	$1$	$1$	\(-5\)	\(0\)	\(0\)	\(-80\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2-\beta )q^{2}+(8+5\beta )q^{4}+(-30+\cdots)q^{7}+\cdots\)
225.6.a.o	$225$	$6$	225.a	1.a	$1$	$2$	$2$	$36.086$	\(\Q(\sqrt{70}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-90\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+38q^{4}-45q^{7}+6\beta q^{8}-40\beta q^{11}+\cdots\)
225.6.a.r	$225$	$6$	225.a	1.a	$1$	$2$	$2$	$36.086$	\(\Q(\sqrt{145}) \)	None	✓	$1$	$1$	\(5\)	\(0\)	\(0\)	\(-80\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(3-\beta )q^{2}+(13-5\beta )q^{4}+(-50+20\beta )q^{7}+\cdots\)