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	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	23
3174.2.a.d	$3174$	$2$	3174.a	1.a	$1$	$1$	$1$	$25.345$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}-2q^{7}-q^{8}+\cdots\)
3174.2.a.j	$3174$	$2$	3174.a	1.a	$1$	$2$	$2$	$25.345$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(-2\)	\(2\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{8}+\cdots\)
3174.2.a.k	$3174$	$2$	3174.a	1.a	$1$	$2$	$2$	$25.345$	\(\Q(\sqrt{6}) \)	None	✓	$2$	$1$	\(-2\)	\(2\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}+\beta q^{7}-q^{8}+\cdots\)
3174.2.a.y	$3174$	$2$	3174.a	1.a	$1$	$5$	$5$	$25.345$	\(\Q(\zeta_{22})^+\)	None	✓	$1$	$1$	\(-5\)	\(5\)	\(-11\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+(-3-\beta _{2}+2\beta _{3}+\cdots)q^{5}+\cdots\)