Newform search results

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

Results (10 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
2304.4.a.a	$2304$	$4$	2304.a	1.a	$1$	$1$	$1$	$135.940$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(-22\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-22q^{5}-92q^{13}+104q^{17}+359q^{25}+\cdots\)
2304.4.a.o	$2304$	$4$	2304.a	1.a	$1$	$1$	$1$	$135.940$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(22\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+22q^{5}-92q^{13}-104q^{17}+359q^{25}+\cdots\)
2304.4.a.r	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-12\)	\(0\)		$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-6q^{5}-\beta q^{7}-2\beta q^{11}+20q^{13}+\cdots\)
2304.4.a.u	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-6}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(-68\)		$-$	$+$	$-$	$2$	$N(\mathrm{U}(1))$	\(q+7\beta q^{5}-34q^{7}+2\beta q^{11}+267q^{25}+\cdots\)
2304.4.a.z	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+4\beta q^{5}-\beta q^{7}-48q^{11}-6\beta q^{13}+\cdots\)
2304.4.a.bd	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-3}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2\cdot 3^{2}$	$N(\mathrm{U}(1))$	\(q-\beta q^{7}+2\beta q^{13}+56q^{19}-5^{3}q^{25}+\cdots\)
2304.4.a.bj	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+4\beta q^{5}+\beta q^{7}+48q^{11}+6\beta q^{13}+\cdots\)
2304.4.a.bs	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(12\)	\(0\)		$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+6q^{5}-\beta q^{7}+2\beta q^{11}+20q^{13}+\cdots\)
2304.4.a.ca	$2304$	$4$	2304.a	1.a	$1$	$4$	$4$	$135.940$	\(\Q(\zeta_{24})^+\)	\(\Q(\sqrt{-6}) \)	✓	$8$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{5}\cdot 3^{2}$	$N(\mathrm{U}(1))$	\(q+\beta _{3}q^{5}-\beta _{2}q^{7}-\beta _{1}q^{11}-17q^{25}+\cdots\)
2304.4.a.cc	$2304$	$4$	2304.a	1.a	$1$	$4$	$4$	$135.940$	\(\Q(\sqrt{10}, \sqrt{22})\)	None	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(40\)		$-$	$+$	$-$	$2^{9}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}+10q^{7}-6\beta _{1}q^{11}-\beta _{3}q^{13}+\cdots\)