Cremona's table of elliptic curves

1704 = 2³ · 3 · 71

Class	r	Atkin-Lehner	Eigenvalues
1704a (2 curves)	1	2+ 3+ 71+	2+ 3+ -2 -2  2  4 -4  4
Curve Equation t Generators 1704a1 [0,-1,0,16,-36] 2 [5:12:1] 1704a2 [0,-1,0,-104,-276] 2 [13:20:1]
1704b (2 curves)	0	2+ 3+ 71-	2+ 3+  2  2 -4  2  4  0
Curve Equation t 1704b1 [0,-1,0,-12,180] 2 1704b2 [0,-1,0,-552,5148] 2
1704c (1 curve)	0	2+ 3- 71+	2+ 3-  3  1 -3 -2  6  1
Curve Equation t 1704c1 [0,1,0,-24,48] 1
1704d (4 curves)	1	2- 3- 71+	2- 3- -2  0  0 -6  2  4
Curve Equation t Generators 1704d1 [0,1,0,-84,576] 4 [-6:30:1] 1704d2 [0,1,0,-1704,26496] 4 [27:30:1] 1704d3 [0,1,0,-2064,14112] 2 [51:210:1] 1704d4 [0,1,0,-27264,1723680] 2 [810:855:8]

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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