Cremona's table of elliptic curves

41440 = 2⁵ · 5 · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
41440a (4 curves)	1	2+ 5+ 7+ 37+	2+  0 5+ 7+  0 -6 -6 -4
Curve Equation t Generators 41440a1 [0,0,0,-433,3432] 4 [4:42:1] 41440a2 [0,0,0,-83,8822] 2 [14:102:1] 41440a3 [0,0,0,-803,-3302] 2 [242:75:8] 41440a4 [0,0,0,-6908,220992] 2 [402:219:8]
41440b (4 curves)	2	2+ 5+ 7- 37+	2+  0 5+ 7-  0 -6 -6  4
Curve Equation t Generators 41440b1 [0,0,0,-433,-3432] 4 [-12:6:1]&[149:1800:1] 41440b2 [0,0,0,-83,-8822] 2 [58:426:1]&[9508:115515:64] 41440b3 [0,0,0,-803,3302] 2 [-23:98:1]&[-2:70:1] 41440b4 [0,0,0,-6908,-220992] 2 [96:24:1]&[19920:206352:125]
41440c (1 curve)	1	2+ 5- 7+ 37-	2+ -2 5- 7+  2  1  0 -2
Curve Equation t Generators 41440c1 [0,1,0,280,760] 1 [-2:14:1]
41440d (1 curve)	0	2+ 5- 7- 37-	2+  2 5- 7- -2  1  0  2
Curve Equation t 41440d1 [0,-1,0,280,-760] 1
41440e (2 curves)	1	2- 5+ 7+ 37-	2-  2 5+ 7+  0 -2 -4  4
Curve Equation t Generators 41440e1 [0,-1,0,34,-184] 2 [76:660:1] 41440e2 [0,-1,0,-336,-1960] 2 [16638:140525:216]
41440f (2 curves)	2	2- 5+ 7- 37-	2- -2 5+ 7-  0 -2 -4 -4
Curve Equation t Generators 41440f1 [0,1,0,34,184] 2 [-3:8:1]&[4:20:1] 41440f2 [0,1,0,-336,1960] 2 [-21:14:1]&[-18:50:1]
41440g (1 curve)	1	2- 5- 7+ 37+	2-  2 5- 7+  2  1  4 -6
Curve Equation t Generators 41440g1 [0,-1,0,-34160,3082100] 1 [100:810:1]
41440h (4 curves)	0	2- 5- 7+ 37-	2-  0 5- 7+  0 -2  2  4
Curve Equation t 41440h1 [0,0,0,-1417,10824] 4 41440h2 [0,0,0,4708,79424] 4 41440h3 [0,0,0,-10667,-416526] 2 41440h4 [0,0,0,-19547,1051486] 4
41440i (1 curve)	0	2- 5- 7- 37+	2- -2 5- 7- -2  1  4  6
Curve Equation t 41440i1 [0,1,0,-34160,-3082100] 1
41440j (4 curves)	1	2- 5- 7- 37-	2-  0 5- 7-  0 -2  2 -4
Curve Equation t Generators 41440j1 [0,0,0,-1417,-10824] 4 [-15:84:1] 41440j2 [0,0,0,4708,-79424] 4 [160:2184:1] 41440j3 [0,0,0,-10667,416526] 4 [-103:650:1] 41440j4 [0,0,0,-19547,-1051486] 2 [-638:105:8]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations