Cremona's table of elliptic curves

52275 = 3 · 5² · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
52275a (1 curve)	0	3+ 5+ 17+ 41-	0 3+ 5+  0  5  4 17+  0
Curve Equation t 52275a1 [0,-1,1,42917,7429068] 1
52275b (2 curves)	0	3+ 5+ 17+ 41-	-1 3+ 5+ -4  0  6 17+  6
Curve Equation t 52275b1 [1,1,1,-104238,-12995094] 2 52275b2 [1,1,1,-94113,-15607344] 2
52275c (1 curve)	0	3+ 5+ 17- 41+	1 3+ 5+  2 -2 -4 17-  8
Curve Equation t 52275c1 [1,1,0,-4700,127125] 1
52275d (2 curves)	2	3+ 5+ 17- 41+	-1 3+ 5+ -4  0 -2 17-  2
Curve Equation t Generators 52275d1 [1,1,1,-288,-1344] 2 [-14:20:1]&[-90:241:8] 52275d2 [1,1,1,837,-8094] 2 [10:32:1]&[30:-228:1]
52275e (1 curve)	2	3+ 5- 17+ 41+	-2 3+ 5- -4 -3 -6 17+ -6
Curve Equation t Generators 52275e1 [0,-1,1,-958,13068] 1 [-33:87:1]&[42:212:1]
52275f (1 curve)	1	3+ 5- 17+ 41-	1 3+ 5- -3  3  1 17+  4
Curve Equation t Generators 52275f1 [1,1,0,-70,25] 1 [0:5:1]
52275g (4 curves)	1	3- 5+ 17- 41+	1 3- 5+  0 -4 -6 17-  8
Curve Equation t Generators 52275g1 [1,0,1,-3114901,1959930323] 2 [-1679:50411:1] 52275g2 [1,0,1,-10496026,-10824178177] 4 [-17482:336463:8] 52275g3 [1,0,1,20638349,-62818584427] 2 [11223674:-828963227:2744] 52275g4 [1,0,1,-159728401,-776983191427] 2 [-58282:-12989:8]
52275h (1 curve)	1	3- 5+ 17- 41+	2 3- 5+  4 -3  6 17- -6
Curve Equation t Generators 52275h1 [0,1,1,-38,89] 1 [42:59:8]
52275i (4 curves)	0	3- 5+ 17- 41-	1 3- 5+  0  0 -2 17-  0
Curve Equation t 52275i1 [1,0,1,-55751,5061773] 2 52275i2 [1,0,1,-58876,4461773] 4 52275i3 [1,0,1,121749,26498023] 4 52275i4 [1,0,1,-289501,-55961977] 2
52275j (1 curve)	1	3- 5- 17+ 41+	-1 3- 5- -2 -2  4 17+  8
Curve Equation t Generators 52275j1 [1,0,0,-188,1017] 1 [7:-11:1]
52275k (1 curve)	1	3- 5- 17- 41-	0 3- 5-  0  5 -4 17-  0
Curve Equation t Generators 52275k1 [0,1,1,1717,60119] 1 [39:-434:1]
52275l (1 curve)	1	3- 5- 17- 41-	-1 3- 5-  3  3 -1 17-  4
Curve Equation t Generators 52275l1 [1,0,0,-1763,6642] 1 [-23:199:1]

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