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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1.36.a.a	$1$	$36$	1.a	1.a	$1$	$3$	$3$	$7.760$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(139656\)	\(-104875308\)	\(892652054010\)	\(87\!\cdots\!56\)	$+$	$2^{12}\cdot 3^{3}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(46552+\beta _{1})q^{2}+(-34958436+\cdots)q^{3}+\cdots\)
1.40.a.a	$1$	$40$	1.a	1.a	$1$	$3$	$3$	$9.634$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(548856\)	\(1109442852\)	\(17\!\cdots\!90\)	\(-17\!\cdots\!44\)	$+$	$2^{10}\cdot 3^{5}\cdot 5\cdot 13$	$\mathrm{SU}(2)$	\(q+(182952-\beta _{1})q^{2}+(369814284+\cdots)q^{3}+\cdots\)
1.42.a.a	$1$	$42$	1.a	1.a	$1$	$3$	$3$	$10.647$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-344688\)	\(-10820953044\)	\(-21\!\cdots\!50\)	\(57\!\cdots\!92\)	$+$	$2^{11}\cdot 3^{3}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(-114896+\beta _{1})q^{2}+(-3606984348+\cdots)q^{3}+\cdots\)
1.44.a.a	$1$	$44$	1.a	1.a	$1$	$3$	$3$	$11.711$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-2209944\)	\(24401437812\)	\(53\!\cdots\!70\)	\(30\!\cdots\!56\)	$+$	$2^{11}\cdot 3^{4}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(-736648-\beta _{1})q^{2}+(8133812604+\cdots)q^{3}+\cdots\)
1.46.a.a	$1$	$46$	1.a	1.a	$1$	$3$	$3$	$12.826$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(3814272\)	\(5359866876\)	\(-91\!\cdots\!50\)	\(-76\!\cdots\!08\)	$+$	$2^{14}\cdot 3^{6}\cdot 5$	$\mathrm{SU}(2)$	\(q+(1271424+\beta _{1})q^{2}+(1786622292+\cdots)q^{3}+\cdots\)
1.50.a.a	$1$	$50$	1.a	1.a	$1$	$3$	$3$	$15.207$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-24225168\)	\(-326954692404\)	\(63\!\cdots\!50\)	\(50\!\cdots\!92\)	$+$	$2^{11}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-8075056+\beta _{1})q^{2}+(-108984897468+\cdots)q^{3}+\cdots\)