Newform search results

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

Results (9 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	7	11
462.6.a.c	$462$	$6$	462.a	1.a	$1$	$1$	$1$	$74.097$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(-9\)	\(106\)	\(-49\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+106q^{5}+6^{2}q^{6}+\cdots\)
462.6.a.e	$462$	$6$	462.a	1.a	$1$	$2$	$2$	$74.097$	\(\Q(\sqrt{498}) \)	None	✓	$1$	$0$	\(-8\)	\(-18\)	\(-98\)	\(-98\)		$+$	$+$	$+$	$-$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}-7^{2}q^{5}+6^{2}q^{6}+\cdots\)
462.6.a.g	$462$	$6$	462.a	1.a	$1$	$2$	$2$	$74.097$	\(\Q(\sqrt{191}) \)	None	✓	$1$	$0$	\(-8\)	\(-18\)	\(70\)	\(98\)		$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+(35+2\beta )q^{5}+\cdots\)
462.6.a.m	$462$	$6$	462.a	1.a	$1$	$3$	$3$	$74.097$	3.3.1438780.1	None	✓	$1$	$0$	\(-12\)	\(27\)	\(-42\)	\(-147\)		$+$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}+(-15-2\beta _{1}+\cdots)q^{5}+\cdots\)
462.6.a.n	$462$	$6$	462.a	1.a	$1$	$3$	$3$	$74.097$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(12\)	\(-27\)	\(-56\)	\(-147\)		$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+(-19+\beta _{2})q^{5}+\cdots\)
462.6.a.o	$462$	$6$	462.a	1.a	$1$	$3$	$3$	$74.097$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(12\)	\(-27\)	\(56\)	\(147\)		$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+(19+\beta _{1})q^{5}+\cdots\)
462.6.a.q	$462$	$6$	462.a	1.a	$1$	$4$	$4$	$74.097$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(-16\)	\(36\)	\(70\)	\(196\)		$+$	$-$	$-$	$-$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}+(17+\beta _{1})q^{5}+\cdots\)
462.6.a.s	$462$	$6$	462.a	1.a	$1$	$4$	$4$	$74.097$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(16\)	\(36\)	\(-6\)	\(-196\)		$-$	$-$	$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}+(-2+\beta _{1}+\cdots)q^{5}+\cdots\)
462.6.a.t	$462$	$6$	462.a	1.a	$1$	$4$	$4$	$74.097$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(16\)	\(36\)	\(56\)	\(196\)		$-$	$-$	$-$	$+$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}+(14-\beta _{1})q^{5}+\cdots\)