Cremona's table of elliptic curves

68475 = 3 · 5² · 11 · 83

Class	r	Atkin-Lehner	Eigenvalues
68475a (1 curve)	0	3+ 5+ 11- 83+	1 3+ 5+  3 11-  5  8  0
Curve Equation t 68475a1 [1,1,0,-275,8250] 1
68475b (1 curve)	2	3+ 5- 11+ 83+	0 3+ 5- -1 11+ -3 -4 -5
Curve Equation t Generators 68475b1 [0,-1,1,67,1868] 1 [-8:27:1]&[-2:41:1]
68475c (4 curves)	0	3- 5+ 11+ 83+	-1 3- 5+  0 11+  6  6  4
Curve Equation t 68475c1 [1,0,0,-4288,-108433] 2 68475c2 [1,0,0,-4413,-101808] 4 68475c3 [1,0,0,5962,-506433] 2 68475c4 [1,0,0,-16788,727317] 2
68475d (1 curve)	1	3- 5+ 11+ 83-	0 3- 5+  1 11+  3  4 -5
Curve Equation t Generators 68475d1 [0,1,1,1667,236869] 1 [-53:49:1]
68475e (2 curves)	1	3- 5+ 11+ 83-	-1 3- 5+ -2 11+ -2 -4  8
Curve Equation t Generators 68475e1 [1,0,0,-59563,-5579008] 2 [-139:209:1] 68475e2 [1,0,0,-89938,708617] 2 [-223:3224:1]
68475f (1 curve)	1	3- 5+ 11+ 83-	-2 3- 5+  0 11+  6 -5 -7
Curve Equation t Generators 68475f1 [0,1,1,-3008,-65356] 1 [64:91:1]
68475g (1 curve)	1	3- 5+ 11- 83+	0 3- 5+  2 11-  2  3 -1
Curve Equation t Generators 68475g1 [0,1,1,17,319] 1 [-87:406:27]
68475h (2 curves)	0	3- 5+ 11- 83-	1 3- 5+  0 11-  0 -2  2
Curve Equation t 68475h1 [1,0,1,-18026,-928177] 2 68475h2 [1,0,1,-7651,-1986427] 2
68475i (1 curve)	2	3- 5+ 11- 83-	-1 3- 5+ -1 11- -7 -4 -6
Curve Equation t Generators 68475i1 [1,0,0,-388463,1333665042] 1 [-773:34624:1]&[-7834:226667:8]
68475j (4 curves)	0	3- 5+ 11- 83-	-1 3- 5+  4 11- -2  2 -4
Curve Equation t 68475j1 [1,0,0,-59488,4927967] 2 68475j2 [1,0,0,-920613,339905592] 4 68475j3 [1,0,0,-889488,363965217] 2 68475j4 [1,0,0,-14729738,21757858467] 2

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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