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English(EN) Decision trees, Frobenius traces, and Weierstrass coefficients of elliptic curves

新方法使用Frobenius迹计算椭圆曲线系数

作者 PulseAugur 编辑部 · [1 个来源] ·

研究人员开发了一种方法，使用其Frobenius迹来计算有理数域上的椭圆曲线的约化最小Weierstrass系数。决策树模型表明，前两个系数可以从素数2和3的Frobenius迹中准确恢复，而第三个系数则通过补充导子奇偶校验的迹来确定。已推导出这些系数的显式新公式，表明前三个约化最小Weierstrass系数由椭圆曲线的同源类决定。 AI

排序理由 该集群包含一篇详细介绍新数学发现和方法的学术论文。[lever_c_demoted from research: ic=1 ai=0.0]

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新方法使用Frobenius迹计算椭圆曲线系数

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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Barinder S. Banwait, Xiaoyu Huang, Kyu-Hwan Lee, Seewoo Lee, Thomas Oliver, Alexey Pozdnyakov ·

    椭圆曲线的决策树、Frobenius迹和Weierstrass系数

    arXiv:2607.24251v1 Announce Type: cross Abstract: We investigate the extent to which the reduced minimal Weierstrass coefficients of an elliptic curve over $\mathbb{Q}$ may be computed from it's Frobenius traces. Decision tree models reveal that the first two reduced minimal Weie…

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