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Results (6 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1.48.a.a	$1$	$48$	1.a	1.a	$1$	$4$	$4$	$13.991$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(5785560\)	\(38461494960\)	\(-31\!\cdots\!00\)	\(-39\!\cdots\!00\)	$+$	$2^{20}\cdot 3^{7}\cdot 5^{3}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(1446390+\beta _{1})q^{2}+(9615373740+\cdots)q^{3}+\cdots\)
1.52.a.a	$1$	$52$	1.a	1.a	$1$	$4$	$4$	$16.473$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(32756040\)	\(403863773040\)	\(12\!\cdots\!80\)	\(65\!\cdots\!00\)	$+$	$2^{23}\cdot 3^{10}\cdot 5^{3}\cdot 7^{2}\cdot 13\cdot 17$	$\mathrm{SU}(2)$	\(q+(8189010+\beta _{1})q^{2}+(100965943260+\cdots)q^{3}+\cdots\)
1.54.a.a	$1$	$54$	1.a	1.a	$1$	$4$	$4$	$17.790$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-68476320\)	\(-10\!\cdots\!80\)	\(-45\!\cdots\!00\)	\(-22\!\cdots\!00\)	$+$	$2^{27}\cdot 3^{8}\cdot 5^{3}\cdot 7\cdot 13$	$\mathrm{SU}(2)$	\(q+(-17119080+\beta _{1})q^{2}+(-262102751820+\cdots)q^{3}+\cdots\)
1.56.a.a	$1$	$56$	1.a	1.a	$1$	$4$	$4$	$19.158$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(208622520\)	\(-68\!\cdots\!80\)	\(14\!\cdots\!60\)	\(-20\!\cdots\!00\)	$+$	$2^{20}\cdot 3^{9}\cdot 5^{2}\cdot 7\cdot 11$	$\mathrm{SU}(2)$	\(q+(52155630+\beta _{1})q^{2}+(-1705367672820+\cdots)q^{3}+\cdots\)
1.58.a.a	$1$	$58$	1.a	1.a	$1$	$4$	$4$	$20.577$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-217744560\)	\(37\!\cdots\!60\)	\(-10\!\cdots\!00\)	\(95\!\cdots\!00\)	$+$	$2^{25}\cdot 3^{10}\cdot 5^{2}\cdot 7\cdot 19$	$\mathrm{SU}(2)$	\(q+(-54436140+\beta _{1})q^{2}+(9368965543140+\cdots)q^{3}+\cdots\)
1.62.a.a	$1$	$62$	1.a	1.a	$1$	$4$	$4$	$23.566$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(1146312000\)	\(-57\!\cdots\!00\)	\(-52\!\cdots\!00\)	\(-63\!\cdots\!00\)	$+$	$2^{28}\cdot 3^{8}\cdot 5^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q+(286578000-\beta _{1})q^{2}+(-143430899755500+\cdots)q^{3}+\cdots\)