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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	13
1521.2.a.b	$1521$	$2$	1521.a	1.a	$1$	$1$	$1$	$12.145$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}-q^{7}+4q^{16}+8q^{19}-5q^{25}+\cdots\)
1521.2.a.c	$1521$	$2$	1521.a	1.a	$1$	$1$	$1$	$12.145$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}+q^{7}+4q^{16}-8q^{19}-5q^{25}+\cdots\)
1521.2.a.h	$1521$	$2$	1521.a	1.a	$1$	$2$	$2$	$12.145$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+2\beta q^{5}-\beta q^{7}-2\beta q^{11}+4q^{16}+\cdots\)
1521.2.a.j	$1521$	$2$	1521.a	1.a	$1$	$2$	$2$	$12.145$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}-2q^{7}-\beta q^{8}-2\beta q^{11}+\cdots\)
1521.2.a.k	$1521$	$2$	1521.a	1.a	$1$	$2$	$2$	$12.145$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}-\beta q^{5}-\beta q^{8}-3q^{10}+\cdots\)
1521.2.a.l	$1521$	$2$	1521.a	1.a	$1$	$2$	$2$	$12.145$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}-2\beta q^{7}-\beta q^{8}+2\beta q^{11}+\cdots\)
1521.2.a.n	$1521$	$2$	1521.a	1.a	$1$	$3$	$3$	$12.145$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-6\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1}+\beta _{2})q^{2}+(4-\beta _{1})q^{4}+\cdots\)
1521.2.a.o	$1521$	$2$	1521.a	1.a	$1$	$3$	$3$	$12.145$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-4\)	\(3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+(\beta _{1}+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
1521.2.a.q	$1521$	$2$	1521.a	1.a	$1$	$3$	$3$	$12.145$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(4\)	\(-10\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(2-\beta _{1}+\beta _{2})q^{5}+\cdots\)
1521.2.a.v	$1521$	$2$	1521.a	1.a	$1$	$6$	$6$	$12.145$	6.6.1997632.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-12\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{5}q^{2}+(-2\beta _{2}+\beta _{4})q^{4}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)