Newform search results

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

Results (7 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	3	13
1872.4.a.a	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-19\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-19q^{5}+3q^{7}-2q^{11}-13q^{13}+\cdots\)
1872.4.a.v	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{43}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-12\)	\(-44\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-6+\beta )q^{5}+(-22+\beta )q^{7}+26q^{11}+\cdots\)
1872.4.a.bc	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{73}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(25\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3\beta q^{5}+(12+\beta )q^{7}+(-30+4\beta )q^{11}+\cdots\)
1872.4.a.bd	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{55}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(4\)	\(-20\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}+(-10+\beta )q^{7}+(-10+\cdots)q^{11}+\cdots\)
1872.4.a.be	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(4\)	\(-4\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}+(-2-3\beta )q^{7}+(14-6\beta )q^{11}+\cdots\)
1872.4.a.bf	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(4\)	\(20\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}+(10-3\beta )q^{7}+(-30-4\beta )q^{11}+\cdots\)
1872.4.a.bh	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{321}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(11\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(6-\beta )q^{5}+(-2+3\beta )q^{7}+58q^{11}+\cdots\)