Newform search results

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

Results (8 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	23
7406.2.a.c	$7406$	$2$	7406.a	1.a	$1$	$1$	$1$	$59.137$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-3q^{9}-4q^{11}+\cdots\)
7406.2.a.j	$7406$	$2$	7406.a	1.a	$1$	$2$	$2$	$59.137$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(2\)	\(2\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1-\beta )q^{3}+q^{4}+(1-\beta )q^{5}+\cdots\)
7406.2.a.l	$7406$	$2$	7406.a	1.a	$1$	$2$	$2$	$59.137$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(1\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+(1-\beta )q^{5}+\beta q^{6}+\cdots\)
7406.2.a.n	$7406$	$2$	7406.a	1.a	$1$	$2$	$2$	$59.137$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{5}-\beta q^{6}+q^{7}+\cdots\)
7406.2.a.o	$7406$	$2$	7406.a	1.a	$1$	$2$	$2$	$59.137$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(-1\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}+(-1+\beta )q^{5}-\beta q^{6}+\cdots\)
7406.2.a.be	$7406$	$2$	7406.a	1.a	$1$	$5$	$5$	$59.137$	\(\Q(\zeta_{22})^+\)	None	✓	$1$	$1$	\(-5\)	\(-3\)	\(-4\)	\(5\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta _{1}-\beta _{4})q^{3}+q^{4}+(-2+\cdots)q^{5}+\cdots\)
7406.2.a.bh	$7406$	$2$	7406.a	1.a	$1$	$5$	$5$	$59.137$	\(\Q(\zeta_{22})^+\)	None	✓	$1$	$1$	\(-5\)	\(4\)	\(3\)	\(5\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
7406.2.a.bj	$7406$	$2$	7406.a	1.a	$1$	$6$	$6$	$59.137$	6.6.596217024.1	None	✓	$1$	$1$	\(-6\)	\(0\)	\(0\)	\(6\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-\beta _{1}+\beta _{3})q^{5}+\cdots\)