Newform search results

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

Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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
63.12.a.a	$63$	$12$	63.a	1.a	$1$	$1$	$1$	$48.406$	\(\Q\)	None	✓				21.12.a.b	$1$	$1$	\(-8\)	\(0\)	\(-4390\)	\(-16807\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-8q^{2}-1984q^{4}-4390q^{5}-7^{5}q^{7}+\cdots\)
63.12.a.b	$63$	$12$	63.a	1.a	$1$	$1$	$1$	$48.406$	\(\Q\)	None	✓				21.12.a.a	$1$	$1$	\(62\)	\(0\)	\(3310\)	\(-16807\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+62q^{2}+1796q^{4}+3310q^{5}-7^{5}q^{7}+\cdots\)
63.12.a.d	$63$	$12$	63.a	1.a	$1$	$3$	$3$	$48.406$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓				7.12.a.b	$1$	$1$	\(-77\)	\(0\)	\(-5026\)	\(-50421\)		$-$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(-26-\beta _{2})q^{2}+(1834+7\beta _{1}+2^{4}\beta _{2})q^{4}+\cdots\)
63.12.a.f	$63$	$12$	63.a	1.a	$1$	$3$	$3$	$48.406$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓				21.12.a.c	$1$	$1$	\(68\)	\(0\)	\(-3326\)	\(-50421\)		$-$	$+$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+(23+\beta _{1})q^{2}+(664+72\beta _{1}+4\beta _{2})q^{4}+\cdots\)