Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (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	17
7803.2.a.c	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(2\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+2q^{5}+q^{7}-4q^{10}+\cdots\)
7803.2.a.j	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}-4q^{7}+2q^{13}+4q^{16}-q^{19}+\cdots\)
7803.2.a.m	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(5\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}+5q^{7}-7q^{13}+4q^{16}+8q^{19}+\cdots\)
7803.2.a.o	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-4\)	\(-2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-4q^{5}-2q^{7}-3q^{8}-4q^{10}+\cdots\)
7803.2.a.s	$7803$	$2$	7803.a	1.a	$1$	$1$	$1$	$62.307$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-2\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-2q^{5}+q^{7}-4q^{10}+\cdots\)
7803.2.a.bk	$7803$	$2$	7803.a	1.a	$1$	$5$	$5$	$62.307$	5.5.160801.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(4\)	\(-1\)		$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{4})q^{2}+(2+\beta _{2}+\beta _{3})q^{4}+\cdots\)
7803.2.a.bt	$7803$	$2$	7803.a	1.a	$1$	$12$	$12$	$62.307$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-6\)		$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{8}q^{5}+(-1+\cdots)q^{7}+\cdots\)
7803.2.a.by	$7803$	$2$	7803.a	1.a	$1$	$15$	$15$	$62.307$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(-6\)	\(0\)	\(3\)	\(3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}-\beta _{4}q^{5}+(1+\cdots)q^{7}+\cdots\)
7803.2.a.cd	$7803$	$2$	7803.a	1.a	$1$	$24$	$24$	$62.307$		None	✓	$2$	$1$	\(0\)	\(0\)	\(-20\)	\(0\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
7803.2.a.ce	$7803$	$2$	7803.a	1.a	$1$	$24$	$24$	$62.307$		None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-16\)		$-$	$-$	$+$		$\mathrm{SU}(2)$