Newform search results

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

Results (7 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
7056.2.a.h	$7056$	$2$	7056.a	1.a	$1$	$1$	$1$	$56.342$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}+3q^{11}-2q^{13}-6q^{17}+2q^{19}+\cdots\)
7056.2.a.z	$7056$	$2$	7056.a	1.a	$1$	$1$	$1$	$56.342$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-5q^{13}-q^{19}-5q^{25}+11q^{31}+\cdots\)
7056.2.a.bb	$7056$	$2$	7056.a	1.a	$1$	$1$	$1$	$56.342$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{13}+8q^{19}-5q^{25}-4q^{31}+\cdots\)
7056.2.a.bf	$7056$	$2$	7056.a	1.a	$1$	$1$	$1$	$56.342$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+7q^{13}-7q^{19}-5q^{25}-7q^{31}+\cdots\)
7056.2.a.bx	$7056$	$2$	7056.a	1.a	$1$	$1$	$1$	$56.342$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}-3q^{11}-2q^{13}+6q^{17}+2q^{19}+\cdots\)
7056.2.a.cm	$7056$	$2$	7056.a	1.a	$1$	$2$	$2$	$56.342$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-\beta q^{11}-2q^{13}-\beta q^{17}-4q^{19}+\cdots\)
7056.2.a.co	$7056$	$2$	7056.a	1.a	$1$	$2$	$2$	$56.342$	\(\Q(\sqrt{7}) \)	\(\Q(\sqrt{-7}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$N(\mathrm{U}(1))$	\(q+\beta q^{11}-\beta q^{23}-5q^{25}-2\beta q^{29}+\cdots\)