New method computes elliptic curve coefficients using Frobenius traces

Researchers have developed a method to compute the reduced minimal Weierstrass coefficients of an elliptic curve over \mathbb{Q} using its Frobenius traces. Decision tree models demonstrate that the first two coefficients can be accurately recovered from Frobenius traces at primes 2 and 3, with the third coefficient determined by supplementing these traces with conductor parity. Explicit new formulae have been derived for these coefficients, indicating that the first three reduced minimal Weierstrass coefficients are determined by the elliptic curve's isogeny class. AI

RANK_REASON The cluster contains a research paper detailing new mathematical findings and methods. [lever_c_demoted from research: ic=1 ai=0.0]

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• arXiv
• decision tree
• elliptic curve
• Frobenius traces
• \mathbb{Q}
• Weierstraß

• paper
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