Cremona's table of elliptic curves

13350 = 2 · 3 · 5² · 89

Class	r	Atkin-Lehner	Eigenvalues
13350a (4 curves)	1	2+ 3+ 5+ 89+	2+ 3+ 5+ -2  0 -2 -6  2
Curve Equation t Generators 13350a1 [1,1,0,-42125,-2971875] 2 [-145:410:1] 13350a2 [1,1,0,-167125,23153125] 2 [321:1486:1] 13350a3 [1,1,0,-3304625,-2313609375] 2 [5000:323375:1] 13350a4 [1,1,0,-3305875,-2311773125] 2 [6655055:430409135:1331]
13350b (4 curves)	0	2+ 3+ 5+ 89-	2+ 3+ 5+  4 -4  2  6  0
Curve Equation t 13350b1 [1,1,0,-47125,3062125] 2 13350b2 [1,1,0,-247125,-44737875] 4 13350b3 [1,1,0,-3892125,-2957092875] 2 13350b4 [1,1,0,197875,-187582875] 2
13350c (1 curve)	0	2+ 3+ 5- 89+	2+ 3+ 5-  3  5  2  2 -4
Curve Equation t 13350c1 [1,1,0,-2075,52125] 1
13350d (2 curves)	0	2+ 3+ 5- 89+	2+ 3+ 5- -3 -3  6  2  0
Curve Equation t 13350d1 [1,1,0,-86625,-9967275] 1 13350d2 [1,1,0,543050,368636500] 1
13350e (2 curves)	0	2+ 3- 5+ 89+	2+ 3- 5+  2  0  6  2  6
Curve Equation t 13350e1 [1,0,1,-375126,62284648] 2 13350e2 [1,0,1,-5495126,4957004648] 2
13350f (2 curves)	1	2+ 3- 5+ 89-	2+ 3- 5+  2 -4  0  2 -4
Curve Equation t Generators 13350f1 [1,0,1,-351,2098] 2 [2:36:1] 13350f2 [1,0,1,649,12098] 2 [8:129:1]
13350g (1 curve)	1	2+ 3- 5+ 89-	2+ 3- 5+ -4 -2 -2 -2  4
Curve Equation t Generators 13350g1 [1,0,1,159,-812] 1 [11:42:1]
13350h (4 curves)	1	2+ 3- 5+ 89-	2+ 3- 5+ -4  4 -2 -2  4
Curve Equation t Generators 13350h1 [1,0,1,-21251,-1115602] 2 [-78:301:1] 13350h2 [1,0,1,-333751,-74240602] 4 [756:9901:1] 13350h3 [1,0,1,-5340001,-4750078102] 2 [12006:1283092:1] 13350h4 [1,0,1,-327501,-77153102] 2 [1222:36101:1]
13350i (2 curves)	1	2+ 3- 5- 89+	2+ 3- 5-  0  2 -2 -2  2
Curve Equation t Generators 13350i1 [1,0,1,14,68] 2 [6:16:1] 13350i2 [1,0,1,-186,868] 2 [2:21:1]
13350j (1 curve)	1	2+ 3- 5- 89+	2+ 3- 5-  1  1 -2  2  8
Curve Equation t Generators 13350j1 [1,0,1,924,-452] 1 [2:36:1]
13350k (1 curve)	0	2- 3+ 5+ 89+	2- 3+ 5+ -1  1  2 -2  8
Curve Equation t 13350k1 [1,1,1,37,11] 1
13350l (4 curves)	0	2- 3+ 5+ 89+	2- 3+ 5+  4  0  4  6  2
Curve Equation t 13350l1 [1,1,1,-24633838,47049119531] 2 13350l2 [1,1,1,-24623838,47089239531] 2 13350l3 [1,1,1,-25474213,43665911531] 2 13350l4 [1,1,1,38525787,227857911531] 2
13350m (2 curves)	1	2- 3+ 5- 89+	2- 3+ 5-  0  2  2  2  2
Curve Equation t Generators 13350m1 [1,1,1,362,8531] 2 [-11:63:1] 13350m2 [1,1,1,-4638,108531] 2 [-65:407:1]
13350n (1 curve)	0	2- 3+ 5- 89-	2- 3+ 5-  4 -2  2  2  4
Curve Equation t 13350n1 [1,1,1,3987,-101469] 1
13350o (2 curves)	1	2- 3- 5+ 89+	2- 3- 5+  0  0  0 -2 -6
Curve Equation t Generators 13350o1 [1,0,0,-3588,81792] 2 [-18:384:1] 13350o2 [1,0,0,-1088,194292] 2 [-8:454:1]
13350p (2 curves)	1	2- 3- 5+ 89+	2- 3- 5+  3 -3 -6 -2  0
Curve Equation t Generators 13350p1 [1,0,0,21722,2949092] 5 [116:2594:1] 13350p2 [1,0,0,-2165638,-1241578108] 1 [148276240:7671177718:42875]
13350q (1 curve)	1	2- 3- 5+ 89+	2- 3- 5+ -3  5 -2 -2 -4
Curve Equation t Generators 13350q1 [1,0,0,-83,417] 1 [-2:25:1]

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