ON DISCRIMINANTS OF MINIMAL POLYNOMIALS OF THE RAMANUJAN CLASS INVARIANTS

DOI10.1017/s0004972723000278arXiv2210.00681OpenAlexW4364362243MaRDI QIDQ6060522

Sarth Chavan

Publication date: 3 November 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.00681

zbMATH Keywords

elliptic curves\(j\)-invariantdiscriminantclass invariantring class polynomials

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Polynomials (irreducibility, etc.) (11R09) Elliptic curves over local fields (11G07)

Cites Work

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• Ramanujan's class invariants and their use in elliptic curve cryptography
• Singular moduli, modular polynomials, and the index of the closure of \({\mathbb{Z}}[j(\tau)\) in \({\mathbb{Q}}(j(\tau))\)]
• Generating more MNT elliptic curves
• Elliptic Curves and Primality Proving
• Efficient CM-constructions of elliptic curves over finite fields
• Computing Polynomials of the Ramanujan t_n Class Invariants
• Ramanujan and the Modular j-Invariant
• Revisiting the Gross–Zagier discriminant formula