Let E be a rational elliptic curve, and K be an imaginary quadratic field. In this article we give a method to construct Heegner points when E has a prime bigger than 3 of additive reduction ramifying in the field K. The ideas apply to more general contexts, like constructing Darmon points attached to real quadratic fields which is presented in the appendix
In this note we consider certain elliptic curves defined over real quadratic fields isogenous to the...
Abstract: In this note we consider certain elliptic curves defined over real quadratic fields isogen...
Abstract. Given a parametrisation of an elliptic curve by a Shimura curve, we show that the images o...
Let E be a rational elliptic curve and let K be an imaginary quadratic field. In this article we giv...
AbstractLet E/Q be an elliptic curve with no CM and a fixed modular parametrization ΦE:X0(N)→E and l...
AbstractLet E be an elliptic curve over Q and let K be a quadratic imaginary field that satisfies th...
We explain how to find a rational point on a rational elliptic curve of rank 1 using Heegner points....
We explain how to find a rational point on a rational elliptic curve of rank 1 using Heegner points....
AbstractLet ∞ be a fixed place of a global function field k. Let E be an elliptic curve defined over...
We extend to the supersingular case the Λ -adic Euler system method (where Λ is a suitable Iwasawa a...
AbstractLet ∞ be a fixed place of a global function field k. Let E be an elliptic curve defined over...
For every integer N ≥ 1, consider the set K(N) of imaginary quadratic fields such that, for each K i...
AbstractLet E/Q be an elliptic curve with no CM and a fixed modular parametrization ΦE:X0(N)→E and l...
For every integer N ≥ 1, consider the set K(N) of imaginary quadratic fields such that, for each K i...
Gauss' class number problem is that of finding an upper bound for |D| with given class number h(D) ...
In this note we consider certain elliptic curves defined over real quadratic fields isogenous to the...
Abstract: In this note we consider certain elliptic curves defined over real quadratic fields isogen...
Abstract. Given a parametrisation of an elliptic curve by a Shimura curve, we show that the images o...
Let E be a rational elliptic curve and let K be an imaginary quadratic field. In this article we giv...
AbstractLet E/Q be an elliptic curve with no CM and a fixed modular parametrization ΦE:X0(N)→E and l...
AbstractLet E be an elliptic curve over Q and let K be a quadratic imaginary field that satisfies th...
We explain how to find a rational point on a rational elliptic curve of rank 1 using Heegner points....
We explain how to find a rational point on a rational elliptic curve of rank 1 using Heegner points....
AbstractLet ∞ be a fixed place of a global function field k. Let E be an elliptic curve defined over...
We extend to the supersingular case the Λ -adic Euler system method (where Λ is a suitable Iwasawa a...
AbstractLet ∞ be a fixed place of a global function field k. Let E be an elliptic curve defined over...
For every integer N ≥ 1, consider the set K(N) of imaginary quadratic fields such that, for each K i...
AbstractLet E/Q be an elliptic curve with no CM and a fixed modular parametrization ΦE:X0(N)→E and l...
For every integer N ≥ 1, consider the set K(N) of imaginary quadratic fields such that, for each K i...
Gauss' class number problem is that of finding an upper bound for |D| with given class number h(D) ...
In this note we consider certain elliptic curves defined over real quadratic fields isogenous to the...
Abstract: In this note we consider certain elliptic curves defined over real quadratic fields isogen...
Abstract. Given a parametrisation of an elliptic curve by a Shimura curve, we show that the images o...