Cremona's table of elliptic curves

4056 = 2³ · 3 · 13²

Class	r	Atkin-Lehner	Eigenvalues
4056a (6 curves)	1	2+ 3+ 13+	2+ 3+  2  0 -4 13+  2  4
Curve Equation t Generators 4056a1 [0,-1,0,113,532] 2 [48:338:1] 4056a2 [0,-1,0,-732,5940] 4 [-3:90:1] 4056a3 [0,-1,0,-4112,-95460] 4 [33770:6205680:1] 4056a4 [0,-1,0,-10872,439932] 2 [178:2028:1] 4056a5 [0,-1,0,-64952,-6349812] 2 [7294398:1340412515:216] 4056a6 [0,-1,0,2648,-384788] 2 [4221245:775710918:125]
4056b (1 curve)	1	2+ 3+ 13+	2+ 3+ -2  1 -6 13+  8 -4
Curve Equation t Generators 4056b1 [0,-1,0,-2929,-70955] 1 [113:1014:1]
4056c (1 curve)	1	2+ 3+ 13+	2+ 3+  3 -4  4 13+  3 -4
Curve Equation t Generators 4056c1 [0,-1,0,-5464,158716] 1 [10:324:1]
4056d (2 curves)	1	2+ 3+ 13+	2+ 3+ -4  0  2 13+  2 -8
Curve Equation t Generators 4056d1 [0,-1,0,-110075,13242696] 2 [-17:3887:1] 4056d2 [0,-1,0,95260,56773716] 2 [226:9476:1]
4056e (2 curves)	0	2+ 3+ 13-	2+ 3+  0 -2 -2 13- -2  6
Curve Equation t 4056e1 [0,-1,0,-7323,-231336] 2 4056e2 [0,-1,0,-18308,638676] 2
4056f (4 curves)	0	2+ 3- 13+	2+ 3- -2  0  0 13+  2  4
Curve Equation t 4056f1 [0,1,0,-1239,9270] 4 4056f2 [0,1,0,-8844,-316224] 4 4056f3 [0,1,0,-140664,-20352864] 2 4056f4 [0,1,0,1296,-989520] 2
4056g (1 curve)	0	2+ 3- 13+	2+ 3-  3  0  0 13+ -1  0
Curve Equation t 4056g1 [0,1,0,8056,284064] 1
4056h (2 curves)	0	2+ 3- 13+	2+ 3-  4  4  2 13+ -6 -4
Curve Equation t 4056h1 [0,1,0,789,27522] 2 4056h2 [0,1,0,-10196,357072] 2
4056i (2 curves)	1	2+ 3- 13-	2+ 3-  2 -2 -4 13- -6 -2
Curve Equation t Generators 4056i1 [0,1,0,-732,-137760] 2 [27428520:1492892920:9261] 4056i2 [0,1,0,-44672,-3617808] 2 [319908:34818056:27]
4056j (2 curves)	1	2+ 3- 13-	2+ 3- -4 -2  2 13-  6 -2
Curve Equation t Generators 4056j1 [0,1,0,-355,2354] 2 [5:27:1] 4056j2 [0,1,0,-5620,160304] 2 [44:12:1]
4056k (2 curves)	0	2- 3+ 13+	2- 3+  0  4  2 13+ -6  4
Curve Equation t 4056k1 [0,-1,0,-563,-2172] 2 4056k2 [0,-1,0,1972,-18396] 2
4056l (1 curve)	0	2- 3+ 13+	2- 3+  2 -1  6 13+  8  4
Curve Equation t 4056l1 [0,-1,0,-17,-27] 1
4056m (4 curves)	0	2- 3+ 13+	2- 3+  2 -4  0 13+  2 -8
Curve Equation t 4056m1 [0,-1,0,-6647,210768] 4 4056m2 [0,-1,0,-7492,154660] 4 4056m3 [0,-1,0,-51432,-4362372] 2 4056m4 [0,-1,0,22928,1067260] 2
4056n (1 curve)	0	2- 3+ 13+	2- 3+ -3  4 -4 13+  3  4
Curve Equation t 4056n1 [0,-1,0,-923472,345005244] 1
4056o (2 curves)	1	2- 3+ 13-	2- 3+  0  2  2 13- -2 -6
Curve Equation t Generators 4056o1 [0,-1,0,-43,-92] 2 [-3:1:1] 4056o2 [0,-1,0,-108,324] 2 [-4:26:1]
4056p (2 curves)	1	2- 3- 13+	2- 3-  0  0 -6 13+  2  0
Curve Equation t Generators 4056p1 [0,1,0,-563,-11010] 2 [111:1143:1] 4056p2 [0,1,0,-11548,-481168] 2 [-62:18:1]
4056q (1 curve)	1	2- 3- 13+	2- 3- -3  0  0 13+ -1  0
Curve Equation t Generators 4056q1 [0,1,0,48,144] 1 [0:12:1]
4056r (2 curves)	0	2- 3- 13-	2- 3- -2  2  4 13- -6  2
Curve Equation t 4056r1 [0,1,0,-4,-64] 2 4056r2 [0,1,0,-264,-1728] 2
4056s (2 curves)	0	2- 3- 13-	2- 3-  4  2 -2 13-  6  2
Curve Equation t 4056s1 [0,1,0,-60051,5411862] 2 4056s2 [0,1,0,-949836,355987152] 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