A survey on the group of points arising from elliptic curves with a Weierstrass model over a ring
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Publication:5876630
DOI10.22108/ijgt.2022.131984.1769OpenAlexW4390657772MaRDI QIDQ5876630
Massimiliano Sala, Daniele Taufer
Publication date: 1 February 2023
Full work available at URL: https://doaj.org/article/115942e33cd445a08aa9f217dc7017df
Related Items (3)
Multiplication polynomials for elliptic curves over finite local rings ⋮ Elliptic loops ⋮ Group structure of elliptic curves over \(\mathbb{Z}/N\mathbb{Z}\)
Cites Work
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- Torsion of rational elliptic curves over cubic fields and sporadic points on \(X_1(n)\)
- Elliptic curves with everywhere good reduction
- Complete systems of addition laws an abelian varieties
- There are no abelian varieties over \(\mathbb Z\).
- Addition laws on elliptic curves in arbitrary characteristics
- Factoring integers with elliptic curves
- Reduction of elliptic curves over imaginary quadratic number fields
- The arithmetic of elliptic curves
- Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
- Modular curves and the Eisenstein ideal
- Elliptic curves over complex quadratic fields
- Abelian varieties over cyclotomic fields with good reduction everywhere
- Computing elliptic curves having good reduction everywhere over quadratic fields
- Torsion subgroups of elliptic curves over function fields of genus 0
- Family of elliptic curves with good reduction everywhere over number fields of given degree
- Torsion points on elliptic curves and \(q\)-coefficients of modular forms
- Modular elliptic curves and Fermat's Last Theorem
- Complete systems of two addition laws for elliptic curves
- Bounds for the torsion of elliptic curves over number fields
- Torsion of rational elliptic curves over the maximal abelian extension of \(\mathbb{Q} \)
- A remark on the Mordell-Weil rank of elliptic curves over the maximal abelian extension of the rational number field
- A complete set of addition laws for incomplete Edwards curves
- On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
- A Public Key Cryptosystem Based on Elliptic Curves over ℤ/nℤ Equivalent to Factoring
- On Group Structures Realized by Elliptic Curves over a Fixed Finite Field
- Rational Points of Abelian Varieties Over Function Fields
- The Arithmetic of Elliptic Curves
- Arithmetic Moduli of Elliptic Curves. (AM-108)
- Rational points on elliptic curves over Q in elementary abelian 2-extensions of Q.
- Elliptic Curve Cryptosystems
- A Note on Elliptic Curves Over Finite Fields
- Torsion points on elliptic curves defined over quadratic fields
- GALOIS MODULI OF PERIOD $p$ GROUP SCHEMES OVER A RING OF WITT VECTORS
- A note on elliptic curves over finite fields
- Reduction of elliptic curves over certain real quadratic number fields
- The Elkies curve has rank 28 subject only to GRH
- Torsion subgroups of rational elliptic curves over the compositum of all cubic fields
- On the torsion of elliptic curves over cubic number fields
- Torsion subgroups of elliptic curves with non-cyclic torsion over Q in elementary abelian 2-extensions of Q
- Elliptic curves with good reduction everywhere over cubic fields
- Torsion subgroups of elliptic curves over quintic and sextic number fields
- Torsion of elliptic curves over cyclic cubic fields
- Finding All Elliptic Curves with Good Reduction Outside a Given Set of Primes
- ON THE TORSION OF ELLIPTIC CURVES OVER QUARTIC NUMBER FIELDS
- Abelian varieties over finite fields
- Sur l'équation y2 = x3 - Ax - B dans les corps p-adiques.
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