Newform search results

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

Results (18 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	5
1600.4.a.h	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-7\)	\(0\)	\(6\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-7q^{3}+6q^{7}+22q^{9}-43q^{11}-28q^{13}+\cdots\)
1600.4.a.l	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-5\)	\(0\)	\(-10\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{3}-10q^{7}-2q^{9}+15q^{11}+8q^{13}+\cdots\)
1600.4.a.n	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-5\)	\(0\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{3}+2q^{7}-2q^{9}+39q^{11}+84q^{13}+\cdots\)
1600.4.a.t	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(26\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+26q^{7}-23q^{9}-28q^{11}+\cdots\)
1600.4.a.z	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-3^{3}q^{9}-92q^{13}-104q^{17}-130q^{29}+\cdots\)
1600.4.a.bb	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-3^{3}q^{9}+92q^{13}+104q^{17}-130q^{29}+\cdots\)
1600.4.a.bd	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-26\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-26q^{7}-26q^{9}+45q^{11}-44q^{13}+\cdots\)
1600.4.a.be	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(6\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+6q^{7}-26q^{9}-19q^{11}-12q^{13}+\cdots\)
1600.4.a.bg	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-26\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-26q^{7}-23q^{9}-28q^{11}+\cdots\)
1600.4.a.bp	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(5\)	\(0\)	\(10\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}+10q^{7}-2q^{9}-15q^{11}+8q^{13}+\cdots\)
1600.4.a.bv	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(7\)	\(0\)	\(34\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+7q^{3}+34q^{7}+22q^{9}+3^{3}q^{11}+\cdots\)
1600.4.a.by	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(9\)	\(0\)	\(-26\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+9q^{3}-26q^{7}+54q^{9}-59q^{11}+\cdots\)
1600.4.a.cf	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(-4\)	\(0\)	\(4\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{3}+(2+3\beta )q^{7}+(1-4\beta )q^{9}+\cdots\)
1600.4.a.ck	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{19}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{7}+7^{2}q^{9}+20q^{11}+6\beta q^{13}+\cdots\)
1600.4.a.cm	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(4\)	\(0\)	\(-4\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{3}+(-2+3\beta )q^{7}+(1+4\beta )q^{9}+\cdots\)
1600.4.a.cu	$1600$	$4$	1600.a	1.a	$1$	$4$	$4$	$94.403$	4.4.37485.2	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{7}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-\beta _{1}-\beta _{3})q^{7}+(19-3\beta _{2}+\cdots)q^{9}+\cdots\)
1600.4.a.cv	$1600$	$4$	1600.a	1.a	$1$	$4$	$4$	$94.403$	4.4.37485.2	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{7}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-\beta _{1}-\beta _{3})q^{7}+(19-3\beta _{2}+\cdots)q^{9}+\cdots\)
1600.4.a.cx	$1600$	$4$	1600.a	1.a	$1$	$4$	$4$	$94.403$	4.4.2106005.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-\beta _{1}+\beta _{3})q^{7}+(24+\beta _{2}+\cdots)q^{9}+\cdots\)