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	17
2312.4.a.a	$2312$	$4$	2312.a	1.a	$1$	$1$	$1$	$136.412$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(2\)	\(-24\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{3}+2q^{5}-24q^{7}-11q^{9}+44q^{11}+\cdots\)
2312.4.a.b	$2312$	$4$	2312.a	1.a	$1$	$2$	$2$	$136.412$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(-4\)	\(12\)	\(36\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{3}+(6-2\beta )q^{5}+(18-3\beta )q^{7}+\cdots\)
2312.4.a.e	$2312$	$4$	2312.a	1.a	$1$	$4$	$4$	$136.412$	4.4.550476.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(-8\)	\(22\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1+\beta _{1}+\beta _{2}+2\beta _{3})q^{5}+\cdots\)
2312.4.a.i	$2312$	$4$	2312.a	1.a	$1$	$6$	$6$	$136.412$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(13\)	\(1\)		$+$	$+$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{3}+(2-\beta _{2})q^{5}-\beta _{1}q^{7}+(10+\cdots)q^{9}+\cdots\)
2312.4.a.k	$2312$	$4$	2312.a	1.a	$1$	$8$	$8$	$136.412$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{13}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+\beta _{4}q^{5}+(-\beta _{1}-\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots\)
2312.4.a.l	$2312$	$4$	2312.a	1.a	$1$	$14$	$14$	$136.412$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{17}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+\beta _{8}q^{5}+(-\beta _{1}+\beta _{4})q^{7}+\cdots\)
2312.4.a.p	$2312$	$4$	2312.a	1.a	$1$	$18$	$18$	$136.412$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(30\)	\(33\)		$+$	$+$	$+$	$2^{15}\cdot 3^{2}\cdot 17^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(2+\beta _{11})q^{5}+(2+\beta _{1}+\beta _{12}+\cdots)q^{7}+\cdots\)