Newform search results

Results (13 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
596.1.j.a	$596$	$1$	596.j	596.j	$74$	$36$	$1$	$0.297$	\(\Q(\zeta_{74})\)	$D_{37}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{74}^{24}q^{2}-\zeta_{74}^{11}q^{4}+(\zeta_{74}^{14}+\cdots)q^{5}+\cdots\)
669.1.l.a	$669$	$1$	669.l	669.l	$74$	$36$	$1$	$0.334$	\(\Q(\zeta_{74})\)	$D_{37}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{74}^{31}q^{3}-\zeta_{74}^{23}q^{4}+(-\zeta_{74}^{7}+\cdots)q^{7}+\cdots\)
1043.1.n.a	$1043$	$1$	1043.n	1043.n	$74$	$36$	$1$	$0.521$	\(\Q(\zeta_{74})\)	$D_{37}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+(\zeta_{74}^{10}+\zeta_{74}^{12})q^{2}+(\zeta_{74}^{20}+\zeta_{74}^{22}+\cdots)q^{4}+\cdots\)
1487.1.b.a	$1487$	$1$	1487.b	1487.b	$2$	$18$	$18$	$0.742$	\(\Q(\zeta_{74})^+\)	$D_{37}$	\(\Q(\sqrt{-1487}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+\beta _{8}q^{2}+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{3}+\cdots\)
2372.1.m.a	$2372$	$1$	2372.m	2372.m	$74$	$36$	$1$	$1.184$	\(\Q(\zeta_{74})\)	$D_{37}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{74}^{30}q^{2}-\zeta_{74}^{23}q^{4}+(\zeta_{74}^{12}+\cdots)q^{5}+\cdots\)
2447.1.b.a	$2447$	$1$	2447.b	2447.b	$2$	$18$	$18$	$1.221$	\(\Q(\zeta_{74})^+\)	$D_{37}$	\(\Q(\sqrt{-2447}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+\beta _{8}q^{2}+\beta _{10}q^{3}+(1+\beta _{16})q^{4}+(-1+\cdots)q^{6}+\cdots\)
2453.1.s.a	$2453$	$1$	2453.s	2453.s	$74$	$36$	$1$	$1.224$	\(\Q(\zeta_{74})\)	$D_{37}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(-2\)	\(0\)	$1$		\(q+(-\zeta_{74}^{23}+\zeta_{74}^{30})q^{3}-\zeta_{74}^{31}q^{4}+\cdots\)
2831.1.u.a	$2831$	$1$	2831.u	2831.u	$74$	$36$	$1$	$1.413$	\(\Q(\zeta_{74})\)	$D_{37}$	\(\Q(\sqrt{-19}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-2\)	\(-2\)	$1$		\(q+\zeta_{74}^{6}q^{4}+(-\zeta_{74}^{9}-\zeta_{74}^{23})q^{5}+\cdots\)
2980.1.v.a	$2980$	$1$	2980.v	2980.v	$74$	$36$	$1$	$1.487$	\(\Q(\zeta_{74})\)	$D_{37}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(-1\)	\(-2\)	\(-1\)	\(-2\)	$1$		\(q-\zeta_{74}^{13}q^{2}+(-\zeta_{74}^{9}-\zeta_{74}^{33})q^{3}+\cdots\)
2980.1.v.b	$2980$	$1$	2980.v	2980.v	$74$	$36$	$1$	$1.487$	\(\Q(\zeta_{74})\)	$D_{37}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(1\)	\(2\)	\(-1\)	\(2\)	$1$		\(q+\zeta_{74}^{13}q^{2}+(\zeta_{74}^{9}+\zeta_{74}^{33})q^{3}+\cdots\)
3391.1.b.a	$3391$	$1$	3391.b	3391.b	$2$	$18$	$18$	$1.692$	\(\Q(\zeta_{74})^+\)	$D_{37}$	\(\Q(\sqrt{-3391}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+\beta _{8}q^{2}+(1+\beta _{16})q^{4}-\beta _{9}q^{5}+\beta _{6}q^{7}+\cdots\)
3576.1.z.a	$3576$	$1$	3576.z	3576.z	$74$	$36$	$1$	$1.785$	\(\Q(\zeta_{74})\)	$D_{37}$	\(\Q(\sqrt{-6}) \)	None		$4$	$0$	\(-1\)	\(-1\)	\(-2\)	\(-2\)	$1$		\(q-\zeta_{74}^{17}q^{2}+\zeta_{74}^{36}q^{3}+\zeta_{74}^{34}q^{4}+\cdots\)
3576.1.z.b	$3576$	$1$	3576.z	3576.z	$74$	$36$	$1$	$1.785$	\(\Q(\zeta_{74})\)	$D_{37}$	\(\Q(\sqrt{-6}) \)	None		$4$	$0$	\(1\)	\(1\)	\(2\)	\(-2\)	$1$		\(q+\zeta_{74}^{17}q^{2}-\zeta_{74}^{36}q^{3}+\zeta_{74}^{34}q^{4}+\cdots\)