Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (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	3	5	13
1560.4.a.d	$1560$	$4$	1560.a	1.a	$1$	$1$	$1$	$92.043$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-5\)	\(2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-5q^{5}+2q^{7}+9q^{9}-52q^{11}+\cdots\)
1560.4.a.e	$1560$	$4$	1560.a	1.a	$1$	$1$	$1$	$92.043$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-5\)	\(24\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-5q^{5}+24q^{7}+9q^{9}-8q^{11}+\cdots\)
1560.4.a.h	$1560$	$4$	1560.a	1.a	$1$	$3$	$3$	$92.043$	3.3.9153.1	None	✓	$1$	$1$	\(0\)	\(-9\)	\(15\)	\(15\)		$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+5q^{5}+(5-\beta _{1}+2\beta _{2})q^{7}+\cdots\)
1560.4.a.i	$1560$	$4$	1560.a	1.a	$1$	$3$	$3$	$92.043$	3.3.37133.1	None	✓	$1$	$1$	\(0\)	\(9\)	\(-15\)	\(-20\)		$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+3q^{3}-5q^{5}+(-7+\beta _{1}+\beta _{2})q^{7}+\cdots\)
1560.4.a.j	$1560$	$4$	1560.a	1.a	$1$	$3$	$3$	$92.043$	3.3.2700.1	None	✓	$1$	$1$	\(0\)	\(9\)	\(-15\)	\(-15\)		$-$	$-$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+3q^{3}-5q^{5}+(-5-\beta _{1}+\beta _{2})q^{7}+\cdots\)
1560.4.a.k	$1560$	$4$	1560.a	1.a	$1$	$3$	$3$	$92.043$	3.3.18257.1	None	✓	$1$	$1$	\(0\)	\(9\)	\(15\)	\(-13\)		$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{5}+(-5+\beta _{1}+\beta _{2})q^{7}+\cdots\)
1560.4.a.l	$1560$	$4$	1560.a	1.a	$1$	$4$	$4$	$92.043$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-12\)	\(-20\)	\(-11\)		$-$	$+$	$+$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-3q^{3}-5q^{5}+(-3-\beta _{3})q^{7}+9q^{9}+\cdots\)
1560.4.a.n	$1560$	$4$	1560.a	1.a	$1$	$4$	$4$	$92.043$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(12\)	\(20\)	\(-34\)		$+$	$-$	$-$	$-$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{5}+(-8-\beta _{3})q^{7}+9q^{9}+\cdots\)
1560.4.a.o	$1560$	$4$	1560.a	1.a	$1$	$5$	$5$	$92.043$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-15\)	\(-25\)	\(-8\)		$+$	$+$	$+$	$-$	$-$	$2^{5}$	$\mathrm{SU}(2)$	\(q-3q^{3}-5q^{5}+(-2+\beta _{1})q^{7}+9q^{9}+\cdots\)
1560.4.a.q	$1560$	$4$	1560.a	1.a	$1$	$5$	$5$	$92.043$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-15\)	\(25\)	\(4\)		$+$	$+$	$-$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q-3q^{3}+5q^{5}+(1-\beta _{1})q^{7}+9q^{9}+\cdots\)