Newform search results

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

Results (6 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		7	127
6223.2.a.g	$6223$	$2$	6223.a	1.a	$1$	$4$	$4$	$49.691$	4.4.3981.1	None	✓				889.2.f.b	$1$	$1$	\(2\)	\(1\)	\(-3\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}-\beta _{3})q^{2}+\beta _{1}q^{3}+(1-\beta _{2})q^{4}+\cdots\)
6223.2.a.h	$6223$	$2$	6223.a	1.a	$1$	$7$	$7$	$49.691$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓				127.2.a.b	$1$	$1$	\(2\)	\(-3\)	\(-8\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1+\beta _{2}-\beta _{3}-\beta _{5}-\beta _{6})q^{3}+\cdots\)
6223.2.a.i	$6223$	$2$	6223.a	1.a	$1$	$12$	$12$	$49.691$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓				889.2.a.a	$1$	$1$	\(-7\)	\(4\)	\(7\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+\beta _{10}q^{3}+(1-\beta _{1}+\cdots)q^{4}+\cdots\)
6223.2.a.j	$6223$	$2$	6223.a	1.a	$1$	$15$	$15$	$49.691$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓				889.2.a.b	$1$	$1$	\(0\)	\(-4\)	\(-7\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{9}q^{3}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}+\cdots\)
6223.2.a.m	$6223$	$2$	6223.a	1.a	$1$	$26$	$26$	$49.691$		None	✓	✓			6223.2.a.m	$2$	$1$	\(-8\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
6223.2.a.o	$6223$	$2$	6223.a	1.a	$1$	$38$	$38$	$49.691$		None	✓		✓		889.2.f.c	$1$	$1$	\(-2\)	\(-11\)	\(-16\)	\(0\)		$-$	$-$	$+$		$\mathrm{SU}(2)$