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

Results (6 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
48.24.a.a	$48$	$24$	48.a	1.a	$1$	$1$	$1$	$160.898$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-177147\)	\(-48863730\)	\(1723688680\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3^{11}q^{3}-48863730q^{5}+1723688680q^{7}+\cdots\)
48.24.a.b	$48$	$24$	48.a	1.a	$1$	$1$	$1$	$160.898$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-177147\)	\(-35483250\)	\(2385847912\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3^{11}q^{3}-35483250q^{5}+2385847912q^{7}+\cdots\)
48.24.a.e	$48$	$24$	48.a	1.a	$1$	$2$	$2$	$160.898$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-354294\)	\(25248156\)	\(-5764462768\)		$-$	$+$	$-$	$2^{7}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q-3^{11}q^{3}+(12624078-\beta )q^{5}+(-2882231384+\cdots)q^{7}+\cdots\)
48.24.a.f	$48$	$24$	48.a	1.a	$1$	$2$	$2$	$160.898$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-354294\)	\(73907100\)	\(1531228496\)		$-$	$+$	$-$	$2^{7}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q-3^{11}q^{3}+(36953550-\beta )q^{5}+(765614248+\cdots)q^{7}+\cdots\)
48.24.a.i	$48$	$24$	48.a	1.a	$1$	$2$	$2$	$160.898$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(354294\)	\(2075980\)	\(-4451754048\)		$+$	$-$	$-$	$2^{7}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+3^{11}q^{3}+(1037990-5\beta )q^{5}+(-2225877024+\cdots)q^{7}+\cdots\)
48.24.a.l	$48$	$24$	48.a	1.a	$1$	$3$	$3$	$160.898$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(531441\)	\(-77225166\)	\(-3340627872\)		$+$	$-$	$-$	$2^{21}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+3^{11}q^{3}+(-25741722+\beta _{1})q^{5}+\cdots\)