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.a	$392$	$4$	392.a	1.a	$1$	$1$	$1$	$23.129$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-6\)	\(-8\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-6q^{3}-8q^{5}+9q^{9}+56q^{11}+28q^{13}+\cdots\)
392.4.a.b	$392$	$4$	392.a	1.a	$1$	$1$	$1$	$23.129$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(12\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}+12q^{5}-11q^{9}+12q^{11}+\cdots\)
392.4.a.d	$392$	$4$	392.a	1.a	$1$	$1$	$1$	$23.129$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(4\)	\(-12\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{3}-12q^{5}-11q^{9}+12q^{11}+\cdots\)
392.4.a.e	$392$	$4$	392.a	1.a	$1$	$1$	$1$	$23.129$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(4\)	\(2\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{3}+2q^{5}-11q^{9}-44q^{11}-22q^{13}+\cdots\)
392.4.a.i	$392$	$4$	392.a	1.a	$1$	$3$	$3$	$23.129$	3.3.1929.1	None	✓	$1$	$1$	\(0\)	\(-7\)	\(-3\)	\(0\)		$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
392.4.a.j	$392$	$4$	392.a	1.a	$1$	$3$	$3$	$23.129$	3.3.1929.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-13\)	\(0\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-4-\beta _{1})q^{5}+(15+3\beta _{1}+\cdots)q^{9}+\cdots\)
392.4.a.m	$392$	$4$	392.a	1.a	$1$	$4$	$4$	$23.129$	\(\Q(\sqrt{2}, \sqrt{65})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(2\beta _{1}+\beta _{3})q^{3}+(-3\beta _{1}-\beta _{3})q^{5}+\cdots\)