Cremona's table of elliptic curves

25632 = 2⁵ · 3² · 89

Class	r	Atkin-Lehner	Eigenvalues
25632a (1 curve)	1	2+ 3+ 89+	2+ 3+ -2  2  4 -2 -4 -2
Curve Equation t Generators 25632a1 [0,0,0,24,-144] 1 [4:4:1]
25632b (1 curve)	0	2+ 3+ 89-	2+ 3+  2 -2  4 -2  4  2
Curve Equation t 25632b1 [0,0,0,216,-3888] 1
25632c (2 curves)	0	2+ 3- 89+	2+ 3- -2  2  4  4  2 -8
Curve Equation t 25632c1 [0,0,0,-261,1620] 2 25632c2 [0,0,0,-171,2754] 2
25632d (1 curve)	2	2+ 3- 89+	2+ 3- -4 -4  0  0 -6 -2
Curve Equation t Generators 25632d1 [0,0,0,-23592,1394800] 1 [-175:405:1]&[68:324:1]
25632e (1 curve)	1	2+ 3- 89-	2+ 3-  0  0  0  4 -6  6
Curve Equation t Generators 25632e1 [0,0,0,1320,-31696] 1 [20:52:1]
25632f (1 curve)	1	2+ 3- 89-	2+ 3-  0  0  0  4 -6 -6
Curve Equation t Generators 25632f1 [0,0,0,1320,31696] 1 [17:243:1]
25632g (1 curve)	1	2+ 3- 89-	2+ 3-  1  4 -2 -2 -3  7
Curve Equation t Generators 25632g1 [0,0,0,-252,1728] 1 [4:28:1]
25632h (1 curve)	1	2+ 3- 89-	2+ 3-  1 -4  2 -2 -3 -7
Curve Equation t Generators 25632h1 [0,0,0,-252,-1728] 1 [37:199:1]
25632i (1 curve)	2	2- 3+ 89+	2- 3+ -2 -2 -4 -2 -4  2
Curve Equation t Generators 25632i1 [0,0,0,24,144] 1 [0:12:1]&[9:33:1]
25632j (1 curve)	1	2- 3+ 89-	2- 3+  2  2 -4 -2  4 -2
Curve Equation t Generators 25632j1 [0,0,0,216,3888] 1 [9:81:1]
25632k (2 curves)	1	2- 3- 89+	2- 3- -2 -2 -4  4  2  8
Curve Equation t Generators 25632k1 [0,0,0,-261,-1620] 2 [72:594:1] 25632k2 [0,0,0,-171,-2754] 2 [21:54:1]
25632l (1 curve)	1	2- 3- 89+	2- 3- -4  4  0  0 -6  2
Curve Equation t Generators 25632l1 [0,0,0,-23592,-1394800] 1 [656:16292:1]

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