Newform search results

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

Results (13 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	7
1323.2.a.a	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-3\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}-3q^{5}+6q^{10}-2q^{11}+\cdots\)
1323.2.a.b	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+q^{5}-2q^{10}-4q^{11}+\cdots\)
1323.2.a.e	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-3\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-3q^{5}+3q^{8}+3q^{10}+\cdots\)
1323.2.a.h	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-3q^{5}+6q^{11}+4q^{13}+4q^{16}+\cdots\)
1323.2.a.j	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}-2q^{13}+4q^{16}+7q^{19}-5q^{25}+\cdots\)
1323.2.a.k	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}+2q^{13}+4q^{16}-7q^{19}-5q^{25}+\cdots\)
1323.2.a.o	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(3\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+3q^{5}-3q^{8}+3q^{10}+\cdots\)
1323.2.a.q	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-3\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-3q^{5}-6q^{10}+2q^{11}+\cdots\)
1323.2.a.t	$1323$	$2$	1323.a	1.a	$1$	$2$	$2$	$10.564$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}-\beta q^{5}-\beta q^{8}-3q^{10}+\cdots\)
1323.2.a.x	$1323$	$2$	1323.a	1.a	$1$	$3$	$3$	$10.564$	3.3.321.1	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
1323.2.a.y	$1323$	$2$	1323.a	1.a	$1$	$3$	$3$	$10.564$	3.3.321.1	None	✓	$1$	$1$	\(-2\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
1323.2.a.bb	$1323$	$2$	1323.a	1.a	$1$	$4$	$4$	$10.564$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-8\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{3})q^{4}+(-2-\beta _{3})q^{5}+\cdots\)
1323.2.a.bc	$1323$	$2$	1323.a	1.a	$1$	$4$	$4$	$10.564$	4.4.7168.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{1}q^{5}+\beta _{3}q^{8}+\cdots\)