Álvaro Lozano‐Robledo

activity

20192024

collaborators

3 papers

math.NT2024★ 2 cited

Models of CM elliptic curves with a prescribed $ℓ$ -adic Galois image

Enrique González-Jiménez, Álvaro Lozano-Robledo, Benjamin York

For each prime number $ℓ$ and for each imaginary quadratic order of class number one or two, we determine all the possible $ℓ$ -adic Galois representations that occur for any…

math.NT2023

Elliptic curves with complex multiplication and abelian division fields

Asimina S. Hamakiotes, Alvaro Lozano-Robledo

Let $K$ be an imaginary quadratic field, and let $O_{K, f}$ be an order in $K$ of conductor $f \geq 1$ . Let $E$ be an elliptic curve with CM by $O_{K, f}$ , such th…

math.NT2019

Rank and Bias in Families of Hyperelliptic Curves via Nagao's Conjecture

Trajan Hammonds, Seoyoung Kim, Benjamin Logsdon +2

Let $X : y^{2} = f (x)$ be a hyperelliptic curve over $Q (T)$ of genus $g \geq 1$ . Assume that the jacobian of $X$ over $Q (T)$ has no subvariety de…

Models of CM elliptic curves with a prescribed ℓ-adic Galois image

Elliptic curves with complex multiplication and abelian division fields

Rank and Bias in Families of Hyperelliptic Curves via Nagao's Conjecture

Models of CM elliptic curves with a prescribed $ℓ$ -adic Galois image