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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	19
3800.2.a.a	$3800$	$2$	3800.a	1.a	$1$	$1$	$1$	$30.343$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+q^{7}+6q^{9}+4q^{11}-q^{13}+\cdots\)
3800.2.a.b	$3800$	$2$	3800.a	1.a	$1$	$1$	$1$	$30.343$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-2\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-4q^{7}+q^{9}-4q^{11}-6q^{17}+\cdots\)
3800.2.a.f	$3800$	$2$	3800.a	1.a	$1$	$1$	$1$	$30.343$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-4q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots\)
3800.2.a.i	$3800$	$2$	3800.a	1.a	$1$	$1$	$1$	$30.343$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+3q^{7}+q^{9}-3q^{11}+4q^{13}+\cdots\)
3800.2.a.y	$3800$	$2$	3800.a	1.a	$1$	$3$	$3$	$30.343$	3.3.568.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(2+\beta _{2})q^{7}+(1+2\beta _{1}+\beta _{2})q^{9}+\cdots\)
3800.2.a.ba	$3800$	$2$	3800.a	1.a	$1$	$6$	$6$	$30.343$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-\beta _{1}-\beta _{4})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)