Aashraya Jha

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math.NT2025

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields

Jennifer S. Balakrishnan, L. Alexander Betts, Daniel Rayor Hast +2

Thanks to work of Rouse, Sutherland, and Zureick-Brown, it is known exactly which subgroups of GL $_{2} (Z_{3})$ can occur as the image of the $3$ -adic Galois representation att…

math.NT2024

Finding Integral Points of Elliptic Curves over Imaginary Quadratic Fields

Aashraya Jha

We determine the quadratic Chabauty set for integral points on elliptic curves of rank $2$ defined over imaginary quadratic fields using quadratic Chabauty. This builds on the work…