Newform search results

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

Results (10 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	7	19
7448.2.a.d	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}+q^{9}-3q^{11}-6q^{13}+\cdots\)
7448.2.a.h	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-3q^{9}-q^{11}+6q^{17}+q^{19}+\cdots\)
7448.2.a.s	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}+q^{9}-3q^{11}+4q^{13}+\cdots\)
7448.2.a.x	$7448$	$2$	7448.a	1.a	$1$	$2$	$2$	$59.473$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{3}+q^{5}+(3-4\beta )q^{9}+(1+\cdots)q^{11}+\cdots\)
7448.2.a.y	$7448$	$2$	7448.a	1.a	$1$	$2$	$2$	$59.473$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-5\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(-2-\beta )q^{5}+(-1+\cdots)q^{9}+\cdots\)
7448.2.a.z	$7448$	$2$	7448.a	1.a	$1$	$2$	$2$	$59.473$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+q^{5}+(-2+\beta )q^{9}+(1-3\beta )q^{11}+\cdots\)
7448.2.a.be	$7448$	$2$	7448.a	1.a	$1$	$2$	$2$	$59.473$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$1$	\(0\)	\(4\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}+q^{9}+(-2+\beta )q^{11}+\cdots\)
7448.2.a.bg	$7448$	$2$	7448.a	1.a	$1$	$3$	$3$	$59.473$	3.3.1076.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1-\beta _{1}+\beta _{2})q^{5}+(2+\beta _{1}+\cdots)q^{9}+\cdots\)
7448.2.a.bi	$7448$	$2$	7448.a	1.a	$1$	$3$	$3$	$59.473$	3.3.1101.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1-\beta _{2})q^{5}+(4-\beta _{1}+\beta _{2})q^{9}+\cdots\)
7448.2.a.bm	$7448$	$2$	7448.a	1.a	$1$	$6$	$6$	$59.473$	6.6.98211824.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+\beta _{3}q^{5}+(1-\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)