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
1900.2.a.a	$1900$	$2$	1900.a	1.a	$1$	$1$	$1$	$15.172$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{7}+q^{9}-6q^{13}-2q^{17}+\cdots\)
1900.2.a.b	$1900$	$2$	1900.a	1.a	$1$	$1$	$1$	$15.172$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+3q^{7}+q^{9}+5q^{11}+4q^{13}+\cdots\)
1900.2.a.e	$1900$	$2$	1900.a	1.a	$1$	$2$	$2$	$15.172$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(4\)	\(0\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{3}+(2-2\beta )q^{7}+(3+4\beta )q^{9}+\cdots\)
1900.2.a.h	$1900$	$2$	1900.a	1.a	$1$	$3$	$3$	$15.172$	3.3.257.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(1-\beta _{1})q^{7}+(1-2\beta _{1}+\cdots)q^{9}+\cdots\)