2018-08-10 01:46:51 +0200 | received badge | ● Notable Question (source) |

2016-09-27 19:07:57 +0200 | received badge | ● Student (source) |

2016-09-27 14:12:56 +0200 | received badge | ● Popular Question (source) |

2014-08-25 17:55:29 +0200 | asked a question | division_polynomial with integer coefficients?! Hi, I would like to get a Division-polynomial for an elliptic curve. The curve is I used the commands and I obtained Is there a way to get a division-polynomial which has integer coefficients and which is normalized? |

2014-08-25 17:47:15 +0200 | commented question | elliptic curve complex numbers Hi Frederic, I'm really happy with your answer. It helped me a lot! Thank you. I just klicked the green button on the left; is that what you mean by "accept" ? |

2014-08-25 17:44:24 +0200 | received badge | ● Scholar (source) |

2014-08-22 09:46:35 +0200 | asked a question | elliptic curve complex numbers Hi, I want to look at the curve
E=EllipticCurve(CC,[-35/4,-49/4])
over the complex numbers. I want to find the 3-Torsion Points on the curve, so I tried to use the function
E.division_polynomial(3, two_torsion_multiplicity=0)
which gave me the 3-Division-Polynomial
g=3 So I wanted to use the function P = E(5.26556730825188 , 9.36325015678742) Here I got an error, telling me "TypeError: Coordinates [5.26556730825188, 9.36325015678742, 1.00000000000000] do not define a point on Elliptic Curve defined by y^2 = x^3 + (-8.75000000000000)*x + (-12.2500000000000) over Complex Field with 53 bits of precision" Why does that happen? Next problem is the following: If I use the function Q = E(0); Q.division_points(3) this should give me the 3-torsion-points, but the x-coordinates of the points I get by this metod are different from the method with the 3-divison-polynomial! actually the function does not find any 3-torsion points! How can that happen? Sorry, I'm a sage-beginner from germany and my english is terrible! But this is really really important for me, so I would be very very thankful for any help!!! greetings pittersen!! |

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.