Fabien Pazuki

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20222026

F_{p}

: the inverse volcano problem

1 citations · 1 across the 14 of their papers we have counts for

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math.NT2022

Explicit bounds on the coefficients of modular polynomials for the elliptic $j$ -invariant

Florian Breuer, Fabien Pazuki

We obtain an explicit upper bound on the size of the coefficients of the elliptic modular polynomials $Φ_{N}$ for any $N \geq 1$ . These polynomials vanish at pairs of $j$ -invariants of…

math.NT2022★ 1 cited

Ordinary isogeny graphs over $F_{p}$ : the inverse volcano problem

Henry Bambury, Francesco Campagna, Fabien Pazuki

We give a detailed presentation of $ℓ$ -isogeny graphs associated with ordinary elliptic curves defined over $F_{p}$ . We then focus on the following inverse problem: given…

math.NT2022

The regulator dominates the rank

Fabien Pazuki

After noticing that the regulator of a number field dominates the rank of its group of units, we bound from below the regulator of the Mordell-Weil group of elliptic curves over gl…

Explicit bounds on the coefficients of modular polynomials for the elliptic j-invariant

Ordinary isogeny graphs over Fp​: the inverse volcano problem

The regulator dominates the rank

Explicit bounds on the coefficients of modular polynomials for the elliptic $j$ -invariant

Ordinary isogeny graphs over $F_{p}$ : the inverse volcano problem