Cremona's table of elliptic curves

1632 = 2⁵ · 3 · 17

Class	r	Atkin-Lehner	Eigenvalues
1632a (2 curves)	1	2+ 3+ 17+	2+ 3+  0  2  0 -6 17+ -4
Curve Equation t Generators 1632a1 [0,-1,0,-458,-3624] 2 [38:180:1] 1632a2 [0,-1,0,-448,-3800] 2 [1050:11815:8]
1632b (1 curve)	1	2+ 3+ 17+	2+ 3+ -3  2 -3  3 17+  5
Curve Equation t Generators 1632b1 [0,-1,0,3,21] 1 [-1:4:1]
1632c (1 curve)	0	2+ 3+ 17-	2+ 3+ -1  2  1 -1 17- -1
Curve Equation t 1632c1 [0,-1,0,-141,-603] 1
1632d (1 curve)	1	2+ 3- 17-	2+ 3- -1  2 -5 -5 17- -7
Curve Equation t Generators 1632d1 [0,1,0,-221,-3669] 1 [73:-612:1]
1632e (1 curve)	1	2+ 3- 17-	2+ 3- -1 -2 -1 -1 17-  1
Curve Equation t Generators 1632e1 [0,1,0,-141,603] 1 [9:12:1]
1632f (1 curve)	0	2- 3+ 17+	2- 3+  1  2  5 -1 17+  5
Curve Equation t 1632f1 [0,-1,0,275,229] 1
1632g (1 curve)	1	2- 3+ 17-	2- 3+ -1 -2  5 -5 17-  7
Curve Equation t Generators 1632g1 [0,-1,0,-221,3669] 1 [-5:68:1]
1632h (4 curves)	1	2- 3+ 17-	2- 3+  2  0 -4 -2 17-  0
Curve Equation t Generators 1632h1 [0,-1,0,-102,-360] 4 [44:280:1] 1632h2 [0,-1,0,-1632,-24840] 2 [3428:12565:64] 1632h3 [0,-1,0,-192,468] 4 [-12:30:1] 1632h4 [0,-1,0,-17,-1023] 2 [13:28:1]
1632i (2 curves)	1	2- 3- 17+	2- 3-  0 -2  0 -6 17+  4
Curve Equation t Generators 1632i1 [0,1,0,-458,3624] 2 [10:12:1] 1632i2 [0,1,0,-448,3800] 2 [2:54:1]
1632j (1 curve)	1	2- 3- 17+	2- 3-  1 -2 -5 -1 17+ -5
Curve Equation t Generators 1632j1 [0,1,0,275,-229] 1 [5:36:1]
1632k (1 curve)	1	2- 3- 17+	2- 3- -3 -2  3  3 17+ -5
Curve Equation t Generators 1632k1 [0,1,0,3,-21] 1 [5:12:1]
1632l (4 curves)	0	2- 3- 17-	2- 3-  2  0  4 -2 17-  0
Curve Equation t 1632l1 [0,1,0,-102,360] 4 1632l2 [0,1,0,-192,-468] 2 1632l3 [0,1,0,-1632,24840] 2 1632l4 [0,1,0,-17,1023] 4

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