Newform search results

The results below are complete, since the LMFDB contains all newforms with $Nk^2$ at most 4000

Results (8 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1.18.a.a	$1$	$18$	1.a	1.a	$1$	$1$	$1$	$1.832$	\(\Q\)	None	✓	✓	✓	✓	1.18.a.a	$1$	$1$	\(-528\)	\(-4284\)	\(-1025850\)	\(3225992\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-528q^{2}-4284q^{3}+147712q^{4}+\cdots\)
1.20.a.a	$1$	$20$	1.a	1.a	$1$	$1$	$1$	$2.288$	\(\Q\)	None	✓	✓	✓	✓	1.20.a.a	$1$	$0$	\(456\)	\(50652\)	\(-2377410\)	\(-16917544\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+456q^{2}+50652q^{3}-316352q^{4}+\cdots\)
1.22.a.a	$1$	$22$	1.a	1.a	$1$	$1$	$1$	$2.795$	\(\Q\)	None	✓	✓	✓	✓	1.22.a.a	$1$	$1$	\(-288\)	\(-128844\)	\(21640950\)	\(-768078808\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-288q^{2}-128844q^{3}-2014208q^{4}+\cdots\)
1.24.a.a	$1$	$24$	1.a	1.a	$1$	$2$	$2$	$3.352$	\(\Q(\sqrt{144169}) \)	None	✓	✓	✓	✓	1.24.a.a	$1$	$0$	\(1080\)	\(339480\)	\(73069020\)	\(-1359184400\)	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+(540-\beta )q^{2}+(169740+48\beta )q^{3}+\cdots\)
1.26.a.a	$1$	$26$	1.a	1.a	$1$	$1$	$1$	$3.960$	\(\Q\)	None	✓	✓	✓	✓	1.26.a.a	$1$	$1$	\(-48\)	\(-195804\)	\(-741989850\)	\(39080597192\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-48q^{2}-195804q^{3}-33552128q^{4}+\cdots\)
1.28.a.a	$1$	$28$	1.a	1.a	$1$	$2$	$2$	$4.619$	\(\Q(\sqrt{18209}) \)	None	✓	✓	✓	✓	1.28.a.a	$1$	$0$	\(-8280\)	\(-1286280\)	\(5443587900\)	\(-175391963600\)	$+$	$2^{3}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q+(-4140-\beta )q^{2}+(-643140-192\beta )q^{3}+\cdots\)
1.30.a.a	$1$	$30$	1.a	1.a	$1$	$2$	$2$	$5.328$	\(\Q(\sqrt{51349}) \)	None	✓	✓	✓	✓	1.30.a.a	$1$	$1$	\(8640\)	\(-4967640\)	\(-17477788500\)	\(-30\!\cdots\!00\)	$+$	$2^{6}\cdot 3$	$\mathrm{SU}(2)$	\(q+(4320-\beta )q^{2}+(-2483820+552\beta )q^{3}+\cdots\)
1.32.a.a	$1$	$32$	1.a	1.a	$1$	$2$	$2$	$6.088$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	✓	✓	✓	1.32.a.a	$1$	$0$	\(39960\)	\(17363160\)	\(-19391218020\)	\(30\!\cdots\!00\)	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+(19980-\beta )q^{2}+(8681580-432\beta )q^{3}+\cdots\)

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