Newform search results

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

Results (6 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	19
5415.2.a.b	$5415$	$2$	5415.a	1.a	$1$	$1$	$1$	$43.239$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(-1\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}-q^{5}+2q^{6}-2q^{7}+\cdots\)
5415.2.a.i	$5415$	$2$	5415.a	1.a	$1$	$1$	$1$	$43.239$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(-1\)	\(2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5415.2.a.m	$5415$	$2$	5415.a	1.a	$1$	$2$	$2$	$43.239$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(-2\)	\(-2\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
5415.2.a.u	$5415$	$2$	5415.a	1.a	$1$	$2$	$2$	$43.239$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(-2\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}-q^{3}+(1+2\beta )q^{4}-q^{5}+\cdots\)
5415.2.a.bl	$5415$	$2$	5415.a	1.a	$1$	$9$	$9$	$43.239$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(3\)	\(-9\)	\(-9\)	\(-6\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{3}+\beta _{6}+\beta _{7}+\cdots)q^{4}+\cdots\)
5415.2.a.bm	$5415$	$2$	5415.a	1.a	$1$	$12$	$12$	$43.239$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(-12\)	\(-12\)	\(-10\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{9}q^{2}-q^{3}+(1+\beta _{7}-\beta _{9})q^{4}-q^{5}+\cdots\)