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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1.24.a.a	$1$	$24$	1.a	1.a	$1$	$2$	$2$	$3.352$	\(\Q(\sqrt{144169}) \)	None	✓	$1$	$0$	\(1080\)	\(339480\)	\(73069020\)	\(-1359184400\)	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+(540-\beta )q^{2}+(169740+48\beta )q^{3}+\cdots\)
1.28.a.a	$1$	$28$	1.a	1.a	$1$	$2$	$2$	$4.619$	\(\Q(\sqrt{18209}) \)	None	✓	$1$	$0$	\(-8280\)	\(-1286280\)	\(5443587900\)	\(-175391963600\)	$+$	$2^{3}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q+(-4140-\beta )q^{2}+(-643140-192\beta )q^{3}+\cdots\)
1.30.a.a	$1$	$30$	1.a	1.a	$1$	$2$	$2$	$5.328$	\(\Q(\sqrt{51349}) \)	None	✓	$1$	$1$	\(8640\)	\(-4967640\)	\(-17477788500\)	\(-30\!\cdots\!00\)	$+$	$2^{6}\cdot 3$	$\mathrm{SU}(2)$	\(q+(4320-\beta )q^{2}+(-2483820+552\beta )q^{3}+\cdots\)
1.32.a.a	$1$	$32$	1.a	1.a	$1$	$2$	$2$	$6.088$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(39960\)	\(17363160\)	\(-19391218020\)	\(30\!\cdots\!00\)	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+(19980-\beta )q^{2}+(8681580-432\beta )q^{3}+\cdots\)
1.34.a.a	$1$	$34$	1.a	1.a	$1$	$2$	$2$	$6.898$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-121680\)	\(37919880\)	\(-181061536500\)	\(-67\!\cdots\!00\)	$+$	$2^{4}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-60840-\beta )q^{2}+(18959940+312\beta )q^{3}+\cdots\)
1.38.a.a	$1$	$38$	1.a	1.a	$1$	$2$	$2$	$8.671$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-194400\)	\(13991400\)	\(55\!\cdots\!00\)	\(-34\!\cdots\!00\)	$+$	$2^{5}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-97200-\beta )q^{2}+(6995700+72\beta )q^{3}+\cdots\)