Newform search results

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

Results (4 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	7	19
2394.4.a.a	$2394$	$4$	2394.a	1.a	$1$	$1$	$1$	$141.251$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(7\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+7q^{7}-8q^{8}+42q^{11}+\cdots\)
2394.4.a.c	$2394$	$4$	2394.a	1.a	$1$	$1$	$1$	$141.251$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(10\)	\(7\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+10q^{5}+7q^{7}-8q^{8}+\cdots\)
2394.4.a.g	$2394$	$4$	2394.a	1.a	$1$	$2$	$2$	$141.251$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(14\)	\(14\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(5+4\beta )q^{5}+7q^{7}+\cdots\)
2394.4.a.bb	$2394$	$4$	2394.a	1.a	$1$	$5$	$5$	$141.251$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-10\)	\(0\)	\(-20\)	\(35\)		$+$	$-$	$-$	$-$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-4-\beta _{2})q^{5}+7q^{7}+\cdots\)