A geometric approach to elliptic curves with torsion groups Z/10Z, Z/12Z, Z/14Z, and Z/16Z
A geometric approach to elliptic curves with torsion groups Z/10Z, Z/12Z, Z/14Z, and Z/16Z
We give new parametrisations of elliptic curves in Weierstrass normal form y 2 = x 3 + ax 2 + bx with torsion groups Z/10Z and Z/12Z over Q, and with Z/14Z and Z/16Z over quadratic fields.Even though the parametrisations are equivalent to those given by Kubert and Rabarison, respectively, …