Cremona's table of elliptic curves

60512 = 2⁵ · 31 · 61

Class	r	Atkin-Lehner	Eigenvalues
60512a (1 curve)	2	2+ 31+ 61-	2+  0  1  1 -5  1 -6 -2
Curve Equation t Generators 60512a1 [0,0,0,-812,-24768] 1 [62:404:1]&[101:961:1]
60512b (4 curves)	0	2+ 31+ 61-	2+  0 -2  0 -4 -2 -2  4
Curve Equation t 60512b1 [0,0,0,-1261,-17220] 4 60512b2 [0,0,0,-956,-25760] 2 60512b3 [0,0,0,-1571,-8106] 4 60512b4 [0,0,0,-20171,-1102654] 2
60512c (1 curve)	1	2+ 31- 61-	2+  0  1 -1  5  1 -6  2
Curve Equation t Generators 60512c1 [0,0,0,-812,24768] 1 [54:372:1]
60512d (1 curve)	1	2+ 31- 61-	2+ -2  1  2  3  0 -2  0
Curve Equation t Generators 60512d1 [0,1,0,-65085,-10143893] 1 [2141:98332:1]
60512e (1 curve)	1	2- 31+ 61-	2-  2  1 -2 -3  0 -2  0
Curve Equation t Generators 60512e1 [0,-1,0,-65085,10143893] 1 [4413:52948:27]
60512f (1 curve)	1	2- 31+ 61-	2-  2  1  5 -3 -5  2  8
Curve Equation t Generators 60512f1 [0,-1,0,-65,-751] 1 [40:243:1]
60512g (4 curves)	0	2- 31- 61-	2-  0 -2  0  4 -2 -2 -4
Curve Equation t 60512g1 [0,0,0,-1261,17220] 4 60512g2 [0,0,0,-956,25760] 4 60512g3 [0,0,0,-1571,8106] 2 60512g4 [0,0,0,-20171,1102654] 2
60512h (1 curve)	2	2- 31- 61-	2- -2  1 -5  3 -5  2 -8
Curve Equation t Generators 60512h1 [0,1,0,-65,751] 1 [-11:16:1]&[-6:31:1]

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