Cremona's table of elliptic curves

53300 = 2² · 5² · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
53300a (1 curve)	1	2- 5+ 13+ 41-	2- -2 5+ -1  1 13+  6  5
Curve Equation t Generators 53300a1 [0,1,0,-53,103] 1 [2:3:1]
53300b (1 curve)	1	2- 5+ 13+ 41-	2- -3 5+  2  0 13+  2  4
Curve Equation t Generators 53300b1 [0,0,0,-1375,19750] 1 [15:50:1]
53300c (2 curves)	1	2- 5+ 13- 41+	2-  0 5+  0  2 13- -2  2
Curve Equation t Generators 53300c1 [0,0,0,-1066300,423803625] 2 [640:-1875:1] 53300c2 [0,0,0,-1045175,441400750] 2 [655:6150:1]
53300d (1 curve)	1	2- 5+ 13- 41+	2- -1 5+ -2  4 13-  2  0
Curve Equation t Generators 53300d1 [0,-1,0,1092,-25688] 1 [117:1300:1]
53300e (1 curve)	1	2- 5+ 13- 41+	2-  2 5+ -1 -1 13-  3 -4
Curve Equation t Generators 53300e1 [0,-1,0,52,-568] 1 [1514:20787:8]
53300f (1 curve)	0	2- 5+ 13- 41-	2- -1 5+  2  4 13-  6  8
Curve Equation t 53300f1 [0,-1,0,-6773,-212303] 1
53300g (2 curves)	0	2- 5+ 13- 41-	2-  2 5+ -4  0 13-  6 -8
Curve Equation t 53300g1 [0,-1,0,-4433,-112138] 2 53300g2 [0,-1,0,-4308,-118888] 2
53300h (1 curve)	0	2- 5+ 13- 41-	2- -2 5+  3 -5 13-  3  4
Curve Equation t 53300h1 [0,1,0,-7892708,-8572996412] 1
53300i (1 curve)	1	2- 5- 13+ 41+	2- -2 5-  1 -1 13+ -3 -4
Curve Equation t Generators 53300i1 [0,1,0,1292,-68412] 1 [32:82:1]
53300j (1 curve)	0	2- 5- 13+ 41-	2-  1 5- -2  4 13+ -6  8
Curve Equation t 53300j1 [0,1,0,-169333,-26876537] 1
53300k (1 curve)	0	2- 5- 13+ 41-	2-  2 5- -3 -5 13+ -3  4
Curve Equation t 53300k1 [0,-1,0,-315708,-68457688] 1
53300l (2 curves)	0	2- 5- 13+ 41-	2- -2 5- -2  4 13+ -2 -4
Curve Equation t 53300l1 [0,1,0,-5333,42088] 2 53300l2 [0,1,0,20292,349588] 2
53300m (1 curve)	1	2- 5- 13- 41-	2-  2 5-  1  1 13- -6  5
Curve Equation t Generators 53300m1 [0,-1,0,-1333,15537] 1 [-33:150:1]
53300n (2 curves)	1	2- 5- 13- 41-	2-  2 5-  2  4 13-  2 -4
Curve Equation t Generators 53300n1 [0,-1,0,-213,422] 2 [-7:39:1] 53300n2 [0,-1,0,812,2472] 2 [42:330:1]

Data from Elliptic Curve Data by J. E. Cremona.
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