Cremona's table of elliptic curves

528 = 2⁴ · 3 · 11

Class	r	Atkin-Lehner	Eigenvalues
528a (2 curves)	1	2+ 3+ 11+	2+ 3+  0 -2 11+  0 -2 -8
Curve Equation t Generators 528a1 [0,-1,0,-8,0] 2 [-2:2:1] 528a2 [0,-1,0,32,-32] 2 [4:12:1]
528b (4 curves)	0	2+ 3+ 11-	2+ 3+ -2 -4 11-  6  6  8
Curve Equation t 528b1 [0,-1,0,1,-6] 2 528b2 [0,-1,0,-44,-96] 4 528b3 [0,-1,0,-704,-6960] 2 528b4 [0,-1,0,-104,288] 4
528c (2 curves)	0	2+ 3+ 11-	2+ 3+  4  2 11-  0 -6 -4
Curve Equation t 528c1 [0,-1,0,-8016,278928] 2 528c2 [0,-1,0,-7976,281808] 2
528d (4 curves)	0	2+ 3- 11+	2+ 3-  2  0 11+  2  6  0
Curve Equation t 528d1 [0,1,0,-12,12] 2 528d2 [0,1,0,-32,-60] 4 528d3 [0,1,0,-472,-4108] 2 528d4 [0,1,0,88,-300] 2
528e (2 curves)	0	2- 3+ 11+	2- 3+  2  2 11+ -2  4  6
Curve Equation t 528e1 [0,-1,0,3,0] 2 528e2 [0,-1,0,-12,12] 2
528f (4 curves)	0	2- 3+ 11+	2- 3+ -4  2 11+  4 -2  0
Curve Equation t 528f1 [0,-1,0,-720,-5184] 2 528f2 [0,-1,0,1840,-35904] 2 528f3 [0,-1,0,-161040,24927936] 2 528f4 [0,-1,0,-160880,24979776] 2
528g (4 curves)	1	2- 3+ 11-	2- 3+  0 -2 11- -4 -6  4
Curve Equation t Generators 528g1 [0,-1,0,-88,-272] 2 [-6:2:1] 528g2 [0,-1,0,72,-1296] 2 [20:88:1] 528g3 [0,-1,0,-1288,18160] 2 [18:22:1] 528g4 [0,-1,0,-648,35568] 2 [-28:176:1]
528h (4 curves)	1	2- 3- 11+	2- 3- -2 -4 11+ -2 -2  0
Curve Equation t Generators 528h1 [0,1,0,-104,372] 2 [-2:24:1] 528h2 [0,1,0,-184,-364] 4 [-10:24:1] 528h3 [0,1,0,-2344,-44428] 2 [-28:6:1] 528h4 [0,1,0,696,-2124] 4 [6:48:1]
528i (2 curves)	0	2- 3- 11-	2- 3-  2 -2 11-  6 -4  2
Curve Equation t 528i1 [0,1,0,-77,-330] 2 528i2 [0,1,0,-1292,-18312] 2
528j (4 curves)	0	2- 3- 11-	2- 3-  2  4 11- -6  2 -4
Curve Equation t 528j1 [0,1,0,-32,-12] 2 528j2 [0,1,0,-352,2420] 4 528j3 [0,1,0,-5632,160820] 2 528j4 [0,1,0,-192,4788] 4

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