Cremona's table of elliptic curves

1984 = 2⁶ · 31

Class	r	Atkin-Lehner	Eigenvalues
1984a (1 curve)	1	2+ 31+	2+  0 -1  3 -6  4  0  5
Curve Equation t Generators 1984a1 [0,0,0,-68,-216] 1 [29:149:1]
1984b (4 curves)	1	2+ 31+	2+  0  2  0  0 -2 -6 -4
Curve Equation t Generators 1984b1 [0,0,0,-44,560] 2 [-8:20:1] 1984b2 [0,0,0,-1324,18480] 4 [120:1260:1] 1984b3 [0,0,0,-1964,-1232] 2 [54:224:1] 1984b4 [0,0,0,-21164,1185072] 4 [105336:779660:729]
1984c (1 curve)	1	2+ 31+	2+  2 -1 -3  2  2 -6 -1
Curve Equation t Generators 1984c1 [0,-1,0,-1,9] 1 [0:3:1]
1984d (2 curves)	1	2+ 31+	2+  2 -2  0 -2 -4  6 -4
Curve Equation t Generators 1984d1 [0,-1,0,31,-31] 2 [19:84:1] 1984d2 [0,-1,0,-129,-127] 2 [17:48:1]
1984e (1 curve)	0	2+ 31-	2+  0  3 -3 -2  4  0 -1
Curve Equation t 1984e1 [0,0,0,4,-8] 1
1984f (2 curves)	0	2+ 31-	2+  2  3 -1  6 -2  6  1
Curve Equation t 1984f1 [0,-1,0,-9,17] 1 1984f2 [0,-1,0,71,-159] 1
1984g (1 curve)	0	2- 31+	2-  0  3  3  2  4  0  1
Curve Equation t 1984g1 [0,0,0,4,8] 1
1984h (2 curves)	0	2- 31+	2- -2  3  1 -6 -2  6 -1
Curve Equation t 1984h1 [0,1,0,-9,-17] 1 1984h2 [0,1,0,71,159] 1
1984i (1 curve)	1	2- 31-	2-  0 -1 -3  6  4  0 -5
Curve Equation t Generators 1984i1 [0,0,0,-68,216] 1 [5:1:1]
1984j (4 curves)	1	2- 31-	2-  0  2  0  0 -2 -6  4
Curve Equation t Generators 1984j1 [0,0,0,-44,-560] 2 [108:1120:1] 1984j2 [0,0,0,-1324,-18480] 4 [37940:373920:343] 1984j3 [0,0,0,-21164,-1185072] 2 [3982011348:4048997280:23639903] 1984j4 [0,0,0,-1964,1232] 4 [-978:4256:27]
1984k (1 curve)	1	2- 31-	2- -2 -1  3 -2  2 -6  1
Curve Equation t Generators 1984k1 [0,1,0,-1,-9] 1 [2:1:1]
1984l (2 curves)	1	2- 31-	2- -2 -2  0  2 -4  6  4
Curve Equation t Generators 1984l1 [0,1,0,31,31] 2 [1:8:1] 1984l2 [0,1,0,-129,127] 2 [-1:16:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations