Cremona's table of elliptic curves

44200 = 2³ · 5² · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
44200a (4 curves)	1	2+ 5+ 13+ 17+	2+  0 5+  0  4 13+ 17+  4
Curve Equation t Generators 44200a1 [0,0,0,-1850,30625] 2 [0:175:1] 44200a2 [0,0,0,-1975,26250] 4 [-1:168:1] 44200a3 [0,0,0,4525,162750] 2 [642:8169:8] 44200a4 [0,0,0,-10475,-390250] 2 [-1302:1414:27]
44200b (2 curves)	1	2+ 5+ 13+ 17+	2+  0 5+  2  0 13+ 17+  2
Curve Equation t Generators 44200b1 [0,0,0,-9175,338250] 2 [30:300:1] 44200b2 [0,0,0,-8675,376750] 2 [15:500:1]
44200c (2 curves)	1	2+ 5+ 13+ 17+	2+ -2 5+  4  2 13+ 17+ -2
Curve Equation t Generators 44200c1 [0,1,0,-156508,23779488] 2 [227:28:1] 44200c2 [0,1,0,-156008,23939488] 2 [-132:6500:1]
44200d (1 curve)	2	2+ 5+ 13+ 17-	2+ -1 5+ -4  0 13+ 17- -8
Curve Equation t Generators 44200d1 [0,-1,0,-73,77] 1 [-7:14:1]&[-4:17:1]
44200e (2 curves)	0	2+ 5+ 13- 17+	2+  0 5+  2  6 13- 17+ -8
Curve Equation t 44200e1 [0,0,0,-250,-375] 2 44200e2 [0,0,0,-2375,44250] 2
44200f (1 curve)	0	2+ 5+ 13- 17+	2+  1 5+  2  2 13- 17+  0
Curve Equation t 44200f1 [0,1,0,-35833,-742037] 1
44200g (2 curves)	0	2+ 5+ 13- 17+	2+  2 5+ -2 -2 13- 17+ -8
Curve Equation t 44200g1 [0,-1,0,-35308,-2273388] 2 44200g2 [0,-1,0,49192,-11568388] 2
44200h (2 curves)	0	2+ 5+ 13- 17+	2+ -2 5+  2  2 13- 17+  0
Curve Equation t 44200h1 [0,1,0,-82908,9006688] 2 44200h2 [0,1,0,1592,26582688] 2
44200i (2 curves)	1	2+ 5+ 13- 17-	2+  2 5+ -2  4 13- 17-  4
Curve Equation t Generators 44200i1 [0,-1,0,-41808,3299612] 2 [-103:2550:1] 44200i2 [0,-1,0,-54808,1089612] 2 [5706:144075:8]
44200j (1 curve)	0	2+ 5- 13+ 17+	2+  2 5- -2 -5 13+ 17+  0
Curve Equation t 44200j1 [0,-1,0,-8,812] 1
44200k (1 curve)	1	2+ 5- 13- 17+	2+ -3 5- -2 -2 13- 17+  2
Curve Equation t Generators 44200k1 [0,0,0,-21100,1179700] 1 [86:-34:1]
44200l (2 curves)	1	2- 5+ 13+ 17-	2-  0 5+ -4 -2 13+ 17- -4
Curve Equation t Generators 44200l1 [0,0,0,-2675,-13250] 2 [-30:200:1] 44200l2 [0,0,0,10325,-104250] 2 [74:1032:1]
44200m (2 curves)	1	2- 5+ 13+ 17-	2- -2 5+ -2  4 13+ 17-  4
Curve Equation t Generators 44200m1 [0,1,0,-4408,98688] 2 [-56:416:1] 44200m2 [0,1,0,-17408,-785312] 2 [-81:316:1]
44200n (1 curve)	1	2- 5+ 13+ 17-	2-  3 5+  2 -2 13+ 17-  2
Curve Equation t Generators 44200n1 [0,0,0,-527500,147462500] 1 [10488:29206:27]
44200o (2 curves)	1	2- 5+ 13- 17+	2-  0 5+ -2 -2 13- 17+  4
Curve Equation t Generators 44200o1 [0,0,0,-575,1250] 2 [1:26:1] 44200o2 [0,0,0,-7075,228750] 2 [51:24:1]
44200p (1 curve)	0	2- 5+ 13- 17-	2- -2 5+  2 -5 13- 17-  0
Curve Equation t 44200p1 [0,1,0,-208,101088] 1
44200q (1 curve)	2	2- 5- 13+ 17-	2- -1 5- -2  2 13+ 17-  0
Curve Equation t Generators 44200q1 [0,-1,0,-1433,-5363] 1 [47:170:1]&[-9:82:1]
44200r (1 curve)	0	2- 5- 13- 17+	2-  1 5-  4  0 13- 17+ -8
Curve Equation t 44200r1 [0,1,0,-1833,5963] 1

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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