Newform search results

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

Results (18 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.c	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(3\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+3q^{5}-6q^{10}-2q^{11}+\cdots\)
1323.2.a.d	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-4\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-4q^{5}+3q^{8}+4q^{10}+\cdots\)
1323.2.a.f	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(3\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+3q^{5}+3q^{8}-3q^{10}+\cdots\)
1323.2.a.g	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(4\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+4q^{5}+3q^{8}-4q^{10}+\cdots\)
1323.2.a.i	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}-5q^{13}+4q^{16}+7q^{19}-5q^{25}+\cdots\)
1323.2.a.l	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+3q^{5}-6q^{11}+4q^{13}+4q^{16}+\cdots\)
1323.2.a.m	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-4\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-4q^{5}-3q^{8}-4q^{10}+\cdots\)
1323.2.a.n	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-3\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-3q^{5}-3q^{8}-3q^{10}+\cdots\)
1323.2.a.p	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(4\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+4q^{5}-3q^{8}+4q^{10}+\cdots\)
1323.2.a.r	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-1\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-q^{5}-2q^{10}+4q^{11}+\cdots\)
1323.2.a.s	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(3\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+3q^{5}+6q^{10}+2q^{11}+\cdots\)
1323.2.a.u	$1323$	$2$	1323.a	1.a	$1$	$2$	$2$	$10.564$	\(\Q(\sqrt{6}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+4q^{4}-\beta q^{5}+2\beta q^{8}-6q^{10}+\cdots\)
1323.2.a.v	$1323$	$2$	1323.a	1.a	$1$	$2$	$2$	$10.564$	\(\Q(\sqrt{6}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+4q^{4}+\beta q^{5}+2\beta q^{8}+6q^{10}+\cdots\)
1323.2.a.w	$1323$	$2$	1323.a	1.a	$1$	$2$	$2$	$10.564$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+5q^{4}+\beta q^{5}+3\beta q^{8}+7q^{10}+\cdots\)
1323.2.a.z	$1323$	$2$	1323.a	1.a	$1$	$3$	$3$	$10.564$	3.3.321.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(-1\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\beta _{2}q^{5}+\cdots\)
1323.2.a.ba	$1323$	$2$	1323.a	1.a	$1$	$3$	$3$	$10.564$	3.3.321.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}-\beta _{2}q^{5}+\cdots\)
1323.2.a.bd	$1323$	$2$	1323.a	1.a	$1$	$4$	$4$	$10.564$	4.4.7168.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{1}q^{5}+\beta _{3}q^{8}+\cdots\)
1323.2.a.be	$1323$	$2$	1323.a	1.a	$1$	$4$	$4$	$10.564$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(8\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{3})q^{4}+(2+\beta _{3})q^{5}+\cdots\)