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	5	19
3800.2.a.e	$3800$	$2$	3800.a	1.a	$1$	$1$	$1$	$30.343$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{9}-4q^{11}+6q^{13}+6q^{17}-q^{19}+\cdots\)
3800.2.a.n	$3800$	$2$	3800.a	1.a	$1$	$2$	$2$	$30.343$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2\beta q^{7}-q^{9}+(2-2\beta )q^{11}+\cdots\)
3800.2.a.r	$3800$	$2$	3800.a	1.a	$1$	$3$	$3$	$30.343$	3.3.961.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-2+\beta _{1}-\beta _{2})q^{7}+(5-\beta _{1}+\cdots)q^{9}+\cdots\)
3800.2.a.u	$3800$	$2$	3800.a	1.a	$1$	$3$	$3$	$30.343$	3.3.257.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-\beta _{2}q^{7}+(\beta _{1}-\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)