Cremona's table of elliptic curves

22440 = 2³ · 3 · 5 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
22440a (4 curves)	1	2+ 3+ 5+ 11+ 17+	2+ 3+ 5+  0 11+  6 17+ -4
Curve Equation t Generators 22440a1 [0,-1,0,-76,-1484] 2 [3030:12704:125] 22440a2 [0,-1,0,-2496,-46980] 4 [98:800:1] 22440a3 [0,-1,0,-3816,9516] 2 [6404:50375:64] 22440a4 [0,-1,0,-39896,-3053940] 2 [285:2940:1]
22440b (1 curve)	1	2+ 3+ 5+ 11+ 17+	2+ 3+ 5+  3 11+  1 17+ -5
Curve Equation t Generators 22440b1 [0,-1,0,-56616,5339676] 1 [-22:2564:1]
22440c (1 curve)	1	2+ 3+ 5+ 11+ 17+	2+ 3+ 5+  3 11+ -6 17+  2
Curve Equation t Generators 22440c1 [0,-1,0,-352401,-92925099] 1 [14649:1771470:1]
22440d (2 curves)	0	2+ 3+ 5+ 11+ 17-	2+ 3+ 5+  2 11+ -4 17-  8
Curve Equation t 22440d1 [0,-1,0,35904,-1258884] 2 22440d2 [0,-1,0,-160616,-10456020] 2
22440e (4 curves)	0	2+ 3+ 5- 11+ 17+	2+ 3+ 5-  0 11+  6 17+  4
Curve Equation t 22440e1 [0,-1,0,-220,-1100] 2 22440e2 [0,-1,0,-720,6300] 4 22440e3 [0,-1,0,1480,35340] 2 22440e4 [0,-1,0,-10920,442860] 2
22440f (1 curve)	2	2+ 3+ 5- 11+ 17+	2+ 3+ 5- -5 11+ -2 17+ -6
Curve Equation t Generators 22440f1 [0,-1,0,-65,837] 1 [-7:30:1]&[-1:30:1]
22440g (2 curves)	0	2+ 3+ 5- 11- 17-	2+ 3+ 5-  0 11-  4 17- -4
Curve Equation t 22440g1 [0,-1,0,-22560,-1296708] 2 22440g2 [0,-1,0,-21560,-1417908] 2
22440h (1 curve)	2	2+ 3+ 5- 11- 17-	2+ 3+ 5- -3 11- -6 17- -6
Curve Equation t Generators 22440h1 [0,-1,0,-747185,252136725] 1 [2112947596474823:-85230185604405402:1086056947639]&[22810:-1167375:8]
22440i (1 curve)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+ -1 11- -7 17+  1
Curve Equation t Generators 22440i1 [0,1,0,2024,-19360] 1 [44:396:1]
22440j (4 curves)	1	2+ 3- 5- 11+ 17+	2+ 3- 5- -4 11+ -2 17+  0
Curve Equation t Generators 22440j1 [0,1,0,-815,-61962] 4 [61:345:1] 22440j2 [0,1,0,-28940,-1895712] 4 [436:8280:1] 22440j3 [0,1,0,-45440,493488] 2 [11937:221030:27] 22440j4 [0,1,0,-462440,-121194912] 2 [6378:33465:8]
22440k (4 curves)	0	2+ 3- 5- 11+ 17-	2+ 3- 5- -4 11+ -2 17- -4
Curve Equation t 22440k1 [0,1,0,-935,-11322] 2 22440k2 [0,1,0,-940,-11200] 4 22440k3 [0,1,0,80,-33232] 2 22440k4 [0,1,0,-2040,18720] 4
22440l (1 curve)	0	2+ 3- 5- 11- 17+	2+ 3- 5- -1 11- -4 17+  0
Curve Equation t 22440l1 [0,1,0,768120,-559665360] 1
22440m (2 curves)	0	2+ 3- 5- 11- 17+	2+ 3- 5-  2 11- -4 17+  6
Curve Equation t 22440m1 [0,1,0,-320,1968] 2 22440m2 [0,1,0,-1000,-10000] 2
22440n (2 curves)	1	2- 3+ 5+ 11- 17+	2- 3+ 5+  4 11-  4 17+ -4
Curve Equation t Generators 22440n1 [0,-1,0,-52376,4614876] 2 [310564:21608125:64] 22440n2 [0,-1,0,-27376,9004876] 2 [19401:2702150:1]
22440o (2 curves)	0	2- 3+ 5+ 11- 17-	2- 3+ 5+ -2 11-  4 17-  2
Curve Equation t 22440o1 [0,-1,0,-213576,-37463940] 2 22440o2 [0,-1,0,-410096,42480396] 2
22440p (4 curves)	0	2- 3+ 5+ 11- 17-	2- 3+ 5+  4 11- -2 17-  0
Curve Equation t 22440p1 [0,-1,0,204,1476] 2 22440p2 [0,-1,0,-1416,16380] 4 22440p3 [0,-1,0,-7536,-235764] 2 22440p4 [0,-1,0,-21216,1196460] 2
22440q (1 curve)	0	2- 3+ 5- 11+ 17-	2- 3+ 5-  3 11+  1 17-  5
Curve Equation t 22440q1 [0,-1,0,-521680,-144855428] 1
22440r (2 curves)	0	2- 3+ 5- 11- 17+	2- 3+ 5-  0 11-  2 17+  6
Curve Equation t 22440r1 [0,-1,0,120,252] 2 22440r2 [0,-1,0,-560,2700] 2
22440s (1 curve)	0	2- 3+ 5- 11- 17+	2- 3+ 5-  1 11-  0 17+  0
Curve Equation t 22440s1 [0,-1,0,1040,-77108] 1
22440t (6 curves)	1	2- 3+ 5- 11- 17-	2- 3+ 5-  0 11- -2 17- -4
Curve Equation t Generators 22440t1 [0,-1,0,-1055,302472] 4 [-63:339:1] 22440t2 [0,-1,0,-74260,7740100] 8 [-280:2550:1] 22440t3 [0,-1,0,-134760,-6610500] 4 [445:4620:1] 22440t4 [0,-1,0,-1185040,496927612] 4 [6254:487500:1] 22440t5 [0,-1,0,501040,-51625140] 2 [5079:189476:27] 22440t6 [0,-1,0,-1738560,-881002260] 2 [6277:485268:1]
22440u (4 curves)	1	2- 3+ 5- 11- 17-	2- 3+ 5-  4 11-  2 17- -4
Curve Equation t Generators 22440u1 [0,-1,0,220,-9468] 4 [1348:4081:64] 22440u2 [0,-1,0,-5560,-150500] 4 [97:462:1] 22440u3 [0,-1,0,-15760,571660] 2 [12666:502271:8] 22440u4 [0,-1,0,-87840,-9991188] 2 [1593:62370:1]
22440v (1 curve)	0	2- 3- 5+ 11- 17+	2- 3- 5+  5 11-  5 17+  1
Curve Equation t 22440v1 [0,1,0,-16,80] 1
22440w (4 curves)	0	2- 3- 5- 11+ 17+	2- 3- 5-  4 11+ -6 17+  4
Curve Equation t 22440w1 [0,1,0,73545,18034578] 4 22440w2 [0,1,0,-746580,217160928] 4 22440w3 [0,1,0,-3087480,-1869049152] 2 22440w4 [0,1,0,-11527680,15060579408] 2
22440x (4 curves)	1	2- 3- 5- 11+ 17-	2- 3- 5-  0 11+  6 17- -8
Curve Equation t Generators 22440x1 [0,1,0,1100,-4480] 4 [68:624:1] 22440x2 [0,1,0,-4680,-41472] 4 [-24:240:1] 22440x3 [0,1,0,-42080,3279648] 2 [163:882:1] 22440x4 [0,1,0,-59760,-5637600] 2 [339:3630:1]
22440y (6 curves)	0	2- 3- 5- 11- 17-	2- 3- 5-  0 11- -2 17-  4
Curve Equation t 22440y1 [0,1,0,-3455,77010] 4 22440y2 [0,1,0,-3860,57408] 8 22440y3 [0,1,0,11440,412368] 4 22440y4 [0,1,0,-25640,-1545600] 4 22440y5 [0,1,0,7360,-5215200] 2 22440y6 [0,1,0,-407120,-100120032] 2

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

Part of Computational Number Theory
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