Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (8 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	7
126.14.a.a	$126$	$14$	126.a	1.a	$1$	$1$	$1$	$135.111$	\(\Q\)	None	✓	$1$	$1$	\(-64\)	\(0\)	\(-4320\)	\(117649\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{6}q^{2}+2^{12}q^{4}-4320q^{5}+7^{6}q^{7}+\cdots\)
126.14.a.c	$126$	$14$	126.a	1.a	$1$	$1$	$1$	$135.111$	\(\Q\)	None	✓	$1$	$1$	\(-64\)	\(0\)	\(30330\)	\(117649\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{6}q^{2}+2^{12}q^{4}+30330q^{5}+7^{6}q^{7}+\cdots\)
126.14.a.e	$126$	$14$	126.a	1.a	$1$	$1$	$1$	$135.111$	\(\Q\)	None	✓	$1$	$1$	\(64\)	\(0\)	\(36400\)	\(-117649\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{6}q^{2}+2^{12}q^{4}+36400q^{5}-7^{6}q^{7}+\cdots\)
126.14.a.h	$126$	$14$	126.a	1.a	$1$	$2$	$2$	$135.111$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-128\)	\(0\)	\(-37374\)	\(235298\)		$+$	$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-2^{6}q^{2}+2^{12}q^{4}+(-18687-\beta )q^{5}+\cdots\)
126.14.a.j	$126$	$14$	126.a	1.a	$1$	$2$	$2$	$135.111$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(128\)	\(0\)	\(-46474\)	\(-235298\)		$-$	$-$	$+$	$+$	$2\cdot 3\cdot 7$	$\mathrm{SU}(2)$	\(q+2^{6}q^{2}+2^{12}q^{4}+(-23237-\beta )q^{5}+\cdots\)
126.14.a.k	$126$	$14$	126.a	1.a	$1$	$2$	$2$	$135.111$	\(\Q(\sqrt{407521}) \)	None	✓	$1$	$1$	\(128\)	\(0\)	\(-39976\)	\(-235298\)		$-$	$-$	$+$	$+$	$2^{2}\cdot 3\cdot 7$	$\mathrm{SU}(2)$	\(q+2^{6}q^{2}+2^{12}q^{4}+(-19988-\beta )q^{5}+\cdots\)
126.14.a.o	$126$	$14$	126.a	1.a	$1$	$3$	$3$	$135.111$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-192\)	\(0\)	\(-5694\)	\(-352947\)		$+$	$+$	$+$	$+$	$2^{4}\cdot 3^{4}\cdot 7$	$\mathrm{SU}(2)$	\(q-2^{6}q^{2}+2^{12}q^{4}+(-1898+\beta _{1}+\cdots)q^{5}+\cdots\)
126.14.a.q	$126$	$14$	126.a	1.a	$1$	$3$	$3$	$135.111$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(192\)	\(0\)	\(28626\)	\(352947\)		$-$	$+$	$-$	$+$	$2^{4}\cdot 3^{4}\cdot 7$	$\mathrm{SU}(2)$	\(q+2^{6}q^{2}+2^{12}q^{4}+(9542+\beta _{1})q^{5}+\cdots\)