Cremona's table of elliptic curves

336 = 2⁴ · 3 · 7

Class	r	Atkin-Lehner	Eigenvalues
336b (4 curves)	0	2+ 3+ 7-	2+ 3+  2 7-  0 -2  6  4
Curve Equation t 336b1 [0,-1,0,-7,10] 2 336b2 [0,-1,0,-12,0] 4 336b3 [0,-1,0,-152,-672] 2 336b4 [0,-1,0,48,-48] 4
336c (4 curves)	0	2+ 3- 7+	2+ 3-  2 7+  0  6 -2 -4
Curve Equation t 336c1 [0,1,0,-7,-52] 2 336c2 [0,1,0,-252,-1620] 4 336c3 [0,1,0,-4032,-99900] 2 336c4 [0,1,0,-392,228] 4
336a (4 curves)	0	2- 3+ 7+	2- 3+  0 7+  6  2  0  4
Curve Equation t 336a1 [0,-1,0,7,0] 2 336a2 [0,-1,0,-28,28] 2 336a3 [0,-1,0,-113,516] 2 336a4 [0,-1,0,-1828,30700] 2
336e (6 curves)	1	2- 3+ 7-	2- 3+ -2 7- -4 -2 -6 -4
Curve Equation t Generators 336e1 [0,-1,0,16,0] 2 [2:6:1] 336e2 [0,-1,0,-64,64] 4 [-6:14:1] 336e3 [0,-1,0,-624,-5760] 2 [-14:6:1] 336e4 [0,-1,0,-784,8704] 8 [-11:126:1] 336e5 [0,-1,0,-12544,544960] 4 [90:370:1] 336e6 [0,-1,0,-544,13888] 4 [-24:112:1]
336d (6 curves)	0	2- 3- 7-	2- 3- -2 7-  4  6  2  4
Curve Equation t 336d1 [0,1,0,-64,-460] 2 336d2 [0,1,0,-1344,-19404] 4 336d3 [0,1,0,-21504,-1220940] 2 336d4 [0,1,0,-1664,-9804] 8 336d5 [0,1,0,-14624,669300] 8 336d6 [0,1,0,6176,-69388] 4
336f (2 curves)	0	2- 3- 7-	2- 3-  4 7- -2 -6 -4  4
Curve Equation t 336f1 [0,1,0,-1,2] 2 336f2 [0,1,0,-36,72] 2

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