Cremona's table of elliptic curves

87216 = 2⁴ · 3 · 23 · 79

Class	r	Atkin-Lehner	Eigenvalues
87216a (1 curve)	0	2+ 3- 23+ 79+	2+ 3-  1  4  3  2  2  6
Curve Equation t 87216a1 [0,1,0,-2025,-54189] 1
87216b (1 curve)	2	2+ 3- 23+ 79+	2+ 3- -3  0 -1 -2 -2  0
Curve Equation t Generators 87216b1 [0,1,0,-17,-69] 1 [6:9:1]&[426:1673:27]
87216c (2 curves)	0	2+ 3- 23- 79-	2+ 3- -2  4  0  2  0  4
Curve Equation t 87216c1 [0,1,0,176,356] 2 87216c2 [0,1,0,-744,2196] 2
87216d (1 curve)	2	2- 3+ 23+ 79+	2- 3+ -3  0  1 -6 -8  8
Curve Equation t Generators 87216d1 [0,-1,0,283,-1011] 1 [4:13:1]&[12:63:1]
87216e (2 curves)	1	2- 3+ 23+ 79-	2- 3+  0  0  6 -2  2 -2
Curve Equation t Generators 87216e1 [0,-1,0,-582008,-219325584] 2 [581916086091440:-177847163301373461:6229504000] 87216e2 [0,-1,0,-10029848,-12221861520] 2 [-2760969565:-353685528:1520875]
87216f (1 curve)	1	2- 3+ 23+ 79-	2- 3+ -3  4  3 -6  6 -2
Curve Equation t Generators 87216f1 [0,-1,0,-1997,-33999] 1 [1178:13489:8]
87216g (4 curves)	1	2- 3+ 23- 79+	2- 3+  2  0  0  6  6 -8
Curve Equation t Generators 87216g1 [0,-1,0,-5792,169728] 2 [146:1554:1] 87216g2 [0,-1,0,-10912,-170240] 4 [53662:476190:343] 87216g3 [0,-1,0,39648,-1343232] 2 [2816:149776:1] 87216g4 [0,-1,0,-143392,-20837120] 2 [-3013067419830:-1571774118838:13910580125]
87216h (2 curves)	1	2- 3+ 23- 79+	2- 3+  3  4  0 -4 -3 -2
Curve Equation t Generators 87216h1 [0,-1,0,-6464,-198144] 1 [177430:1512486:1331] 87216h2 [0,-1,0,9376,-952704] 1 [290:5106:1]
87216i (1 curve)	0	2- 3- 23+ 79-	2- 3-  1  0  4 -4  7 -6
Curve Equation t 87216i1 [0,1,0,30240,3093876] 1
87216j (1 curve)	0	2- 3- 23- 79+	2- 3-  1  4  5  2 -6  2
Curve Equation t 87216j1 [0,1,0,-1605,-25293] 1
87216k (1 curve)	1	2- 3- 23- 79-	2- 3-  1  0 -5  2  4  6
Curve Equation t Generators 87216k1 [0,1,0,-165,3951] 1 [-6:69:1]

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