Newform search results

The results below are complete, since the LMFDB contains all newforms with trivial character and $Nk^2$ at most 40000

Results (4 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					A-L signs	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5
25.22.a.a	$25$	$22$	25.a	1.a	$1$	$1$	$1$	$69.869$	\(\Q\)	None	✓				1.22.a.a	$1$	$1$	\(288\)	\(128844\)	\(0\)	\(768078808\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+288q^{2}+128844q^{3}-2014208q^{4}+\cdots\)
25.22.a.b	$25$	$22$	25.a	1.a	$1$	$3$	$3$	$69.869$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓				5.22.a.a	$1$	$1$	\(1312\)	\(-52194\)	\(0\)	\(-684416558\)		$+$	$+$	$2^{7}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+(437-\beta _{1})q^{2}+(-17400-8\beta _{1}+\cdots)q^{3}+\cdots\)
25.22.a.c	$25$	$22$	25.a	1.a	$1$	$4$	$4$	$69.869$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓				5.22.a.b	$1$	$1$	\(-2910\)	\(-83240\)	\(0\)	\(-512613800\)		$+$	$+$	$2^{6}\cdot 3\cdot 5^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q+(-728+\beta _{1})q^{2}+(-20803-14\beta _{1}+\cdots)q^{3}+\cdots\)
25.22.a.d	$25$	$22$	25.a	1.a	$1$	$7$	$7$	$69.869$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	✓	✓		25.22.a.d	$1$	$1$	\(-737\)	\(-50381\)	\(0\)	\(-817782442\)		$+$	$+$	$2^{13}\cdot 3^{3}\cdot 5^{10}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-105-\beta _{1})q^{2}+(-7198+2\beta _{1}+\cdots)q^{3}+\cdots\)

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