遇见数据集

Frobenius traces of small primes for a subset of isogeny classes of elliptic curves of conductor up to 10^6

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Zenodo2025-07-09 更新2026-05-26 收录
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This dataset is a refinement of the dataset Frobenious traces for a set of isogeny classes of elliptic curves of conductor up to 10^6, by preserving only traces of Frobenius for primes up to 100 and removing row 2268768, whose rank was unspecified in the original dataset. Concretely, the format is a2:a3:a5:...:a89:a97:N:r where a2,a3,a5,...,a89,a97 are the traces of Frobenius for primes p < 100; N is the conductor; r is the rank.

本数据集是针对导子不超过10^6的椭圆曲线同痕类(isogeny classes)集合所构建的Frobenius迹(Frobenius traces)数据集的精炼版本:仅保留了不超过100的素数对应的Frobenius迹,并移除了原始数据集中秩未明确标注的第2268768行。 具体而言,本数据集的格式为`a2:a3:a5:……:a89:a97:N:r`,其中: - a2、a3、a5、……、a89、a97分别为素数p<100对应的Frobenius迹; - N为椭圆曲线的导子; - r为椭圆曲线的秩。

提供机构:
Zenodo
创建时间:
2025-07-07
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