Newform search results

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

Results (5 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.f	$5415$	$2$	5415.a	1.a	$1$	$1$	$1$	$43.239$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(1\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}+q^{5}+2q^{7}+q^{9}-3q^{11}+\cdots\)
5415.2.a.r	$5415$	$2$	5415.a	1.a	$1$	$2$	$2$	$43.239$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+q^{4}+q^{5}-\beta q^{6}+(-1+\cdots)q^{7}+\cdots\)
5415.2.a.ba	$5415$	$2$	5415.a	1.a	$1$	$6$	$6$	$43.239$	6.6.966125.1	None	✓	$1$	$1$	\(-3\)	\(-6\)	\(6\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{2})q^{2}-q^{3}+(2-\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)
5415.2.a.bd	$5415$	$2$	5415.a	1.a	$1$	$6$	$6$	$43.239$	6.6.2591125.1	None	✓	$1$	$1$	\(-1\)	\(-6\)	\(6\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(\beta _{2}-\beta _{3})q^{4}+q^{5}+\cdots\)
5415.2.a.bh	$5415$	$2$	5415.a	1.a	$1$	$6$	$6$	$43.239$	6.6.1397493.1	None	✓	$1$	$1$	\(3\)	\(-6\)	\(6\)	\(-6\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{5})q^{2}-q^{3}+(\beta _{1}-\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)