Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (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	7
392.4.a.c	$392$	$4$	392.a	1.a	$1$	$1$	$1$	$23.129$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(16\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+2^{4}q^{5}-23q^{9}+24q^{11}+\cdots\)
392.4.a.f	$392$	$4$	392.a	1.a	$1$	$2$	$2$	$23.129$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-10\beta q^{5}-5^{2}q^{9}+54q^{11}+\cdots\)
392.4.a.g	$392$	$4$	392.a	1.a	$1$	$2$	$2$	$23.129$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+\beta q^{5}+5q^{9}-4q^{11}-\beta q^{13}+\cdots\)
392.4.a.h	$392$	$4$	392.a	1.a	$1$	$2$	$2$	$23.129$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-22\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(-11-\beta )q^{5}+(31+2\beta )q^{9}+\cdots\)
392.4.a.k	$392$	$4$	392.a	1.a	$1$	$3$	$3$	$23.129$	3.3.1929.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(13\)	\(0\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(4+\beta _{1})q^{5}+(15+3\beta _{1}-2\beta _{2})q^{9}+\cdots\)
392.4.a.l	$392$	$4$	392.a	1.a	$1$	$3$	$3$	$23.129$	3.3.1929.1	None	✓	$1$	$0$	\(0\)	\(7\)	\(3\)	\(0\)		$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(2-\beta _{1})q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+(4+\cdots)q^{9}+\cdots\)
392.4.a.n	$392$	$4$	392.a	1.a	$1$	$4$	$4$	$23.129$	\(\Q(\sqrt{2}, \sqrt{113})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(2\beta _{1}+\beta _{3})q^{3}+(-9\beta _{1}+\beta _{3})q^{5}+\cdots\)