Cremona's table of elliptic curves

4872 = 2³ · 3 · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
4872a (2 curves)	1	2+ 3+ 7+ 29+	2+ 3+  0 7+  4  0  0  0
Curve Equation t Generators 4872a1 [0,-1,0,112,924] 2 [26:144:1] 4872a2 [0,-1,0,-1048,11596] 2 [-15:154:1]
4872b (2 curves)	1	2+ 3+ 7+ 29+	2+ 3+  0 7+  4 -6  6  0
Curve Equation t Generators 4872b1 [0,-1,0,-1095708,-444290220] 2 [468500761423484028367232762:-15009419973032445063516513952:262891167878186186452723] 4872b2 [0,-1,0,-17566568,-28332750372] 2 [-95887947483599542:-1399247381990196:39627407002357]
4872c (2 curves)	1	2+ 3+ 7+ 29+	2+ 3+ -4 7+ -4  2 -2  8
Curve Equation t Generators 4872c1 [0,-1,0,20,-44] 2 [6:16:1] 4872c2 [0,-1,0,-120,-324] 2 [-6:12:1]
4872d (4 curves)	0	2+ 3+ 7+ 29-	2+ 3+ -2 7+  0  6  6 -4
Curve Equation t 4872d1 [0,-1,0,41,-212] 2 4872d2 [0,-1,0,-364,-2156] 4 4872d3 [0,-1,0,-5584,-158756] 2 4872d4 [0,-1,0,-1624,23548] 4
4872e (1 curve)	0	2+ 3- 7+ 29+	2+ 3-  2 7+ -3 -5  6  5
Curve Equation t 4872e1 [0,1,0,-20872,1341872] 1
4872f (4 curves)	0	2+ 3- 7+ 29+	2+ 3- -2 7+  4 -6 -6 -4
Curve Equation t 4872f1 [0,1,0,-204,1056] 2 4872f2 [0,1,0,-224,816] 4 4872f3 [0,1,0,-1384,-19600] 2 4872f4 [0,1,0,616,6192] 2
4872g (4 curves)	1	2+ 3- 7- 29+	2+ 3- -2 7-  4 -2 -2 -4
Curve Equation t Generators 4872g1 [0,1,0,196,0] 2 [7:42:1] 4872g2 [0,1,0,-784,-784] 4 [-4:48:1] 4872g3 [0,1,0,-8904,-325584] 2 [267:4050:1] 4872g4 [0,1,0,-8344,289520] 2 [59:78:1]

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