How do I define the elliptic curve: y^2 + y = x^3 - x^2 on Sage 9.3?

asked 2022-05-21 23:54:26 +0100

Jimmy_McGill gravatar image

The elliptic curve construction function takes only constants as inputs. But I want to define an elliptic curve E who's equation is given above.

Thank you.

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Comments

Typing EllipticCurve? in a Sage console or notebook (possibly completed with a helping of Wikipedia) may illuminate you... and explain :

sage: EllipticCurve([0, -1, 1, 0, 0])
Elliptic Curve defined by y^2 + y = x^3 - x^2 over Rational Field
Emmanuel Charpentier gravatar imageEmmanuel Charpentier ( 2022-05-23 07:39:53 +0100 )edit