Cremona's table of elliptic curves

3885 = 3 · 5 · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
3885a (4 curves)	0	3+ 5+ 7+ 37-	-1 3+ 5+ 7+  4  2  6  0
Curve Equation t 3885a1 [1,1,1,-161,7814] 4 3885a2 [1,1,1,-7006,221378] 4 3885a3 [1,1,1,-11631,-113472] 2 3885a4 [1,1,1,-111901,14361224] 2
3885b (1 curve)	0	3+ 5+ 7- 37+	0 3+ 5+ 7-  2  5 -2 -8
Curve Equation t 3885b1 [0,-1,1,-8141,567386] 1
3885c (4 curves)	1	3+ 5+ 7- 37-	1 3+ 5+ 7-  0  2 -2  0
Curve Equation t Generators 3885c1 [1,1,0,42,87] 2 [26:127:1] 3885c2 [1,1,0,-203,528] 4 [-4:38:1] 3885c3 [1,1,0,-1498,-22523] 2 [-1292:673:64] 3885c4 [1,1,0,-2828,56703] 2 [114:1053:1]
3885d (2 curves)	0	3+ 5- 7+ 37+	1 3+ 5- 7+  6 -4  2 -4
Curve Equation t 3885d1 [1,1,0,-37,-296] 2 3885d2 [1,1,0,-912,-10971] 2
3885e (1 curve)	1	3+ 5- 7+ 37-	0 3+ 5- 7+  2 -1 -2 -4
Curve Equation t Generators 3885e1 [0,-1,1,-15,38] 1 [2:3:1]
3885f (1 curve)	0	3- 5+ 7+ 37+	1 3- 5+ 7+ -3  4 -1 -4
Curve Equation t 3885f1 [1,0,1,741,-1193] 1
3885g (2 curves)	1	3- 5+ 7- 37+	-1 3- 5+ 7- -2 -4  6  0
Curve Equation t Generators 3885g1 [1,0,0,129,576] 2 [3:30:1] 3885g2 [1,0,0,-746,5301] 2 [91:-878:1]
3885h (8 curves)	0	3- 5- 7+ 37-	-1 3- 5- 7+ -4 -2  2 -4
Curve Equation t 3885h1 [1,0,0,-2160,40095] 4 3885h2 [1,0,0,-34965,2513592] 8 3885h3 [1,0,0,-35370,2452275] 8 3885h4 [1,0,0,-559440,161009937] 4 3885h5 [1,0,0,-96975,-8427168] 4 3885h6 [1,0,0,19755,9409050] 4 3885h7 [1,0,0,-1429530,-657914475] 2 3885h8 [1,0,0,249900,-54977793] 2
3885i (1 curve)	0	3- 5- 7+ 37-	-1 3- 5- 7+  5  4  5  8
Curve Equation t 3885i1 [1,0,0,0,-3] 1
3885j (1 curve)	0	3- 5- 7- 37+	1 3- 5- 7- -3  0 -7  4
Curve Equation t 3885j1 [1,0,1,-988,-12397] 1
3885k (2 curves)	0	3- 5- 7- 37+	1 3- 5- 7-  6  0  2  4
Curve Equation t 3885k1 [1,0,1,-136893,21015883] 2 3885k2 [1,0,1,-2237768,1288263683] 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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