Newform search results

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

Results (10 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.b	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-17\)	\(35\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-17q^{5}+35q^{7}+2q^{11}+13q^{13}+\cdots\)
1872.4.a.d	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-10\)	\(8\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-10q^{5}+8q^{7}+40q^{11}+13q^{13}+\cdots\)
1872.4.a.e	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-6\)	\(-20\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-6q^{5}-20q^{7}+24q^{11}+13q^{13}+\cdots\)
1872.4.a.i	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(32\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+2^{5}q^{7}-68q^{11}+13q^{13}+\cdots\)
1872.4.a.j	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(6\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+6q^{5}+4q^{7}+6^{2}q^{11}+13q^{13}+\cdots\)
1872.4.a.k	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(7\)	\(13\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+7q^{5}+13q^{7}-26q^{11}+13q^{13}+\cdots\)
1872.4.a.m	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(12\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+12q^{5}-2q^{7}-6^{2}q^{11}+13q^{13}+\cdots\)
1872.4.a.q	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(18\)	\(-20\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+18q^{5}-20q^{7}-48q^{11}+13q^{13}+\cdots\)
1872.4.a.u	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{217}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-23\)	\(-27\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-11-\beta )q^{5}+(-13-\beta )q^{7}+(2+\cdots)q^{11}+\cdots\)
1872.4.a.bk	$1872$	$4$	1872.a	1.a	$1$	$3$	$3$	$110.452$	3.3.3144.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-30\)		$-$	$-$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{2})q^{5}+(-11-3\beta _{1})q^{7}+\cdots\)