Lang's conjecture and sharp height estimates for the elliptic curves y2 = x3 + b

被引：2

作者：

Voutier, Paul ^{[1
]}

Yabuta, Minoru ^{[1
]}

机构：

[1] Senri High Sch, 17-1 2 Chome, Suita, Osaka 5650861, Japan

来源：

ACTA ARITHMETICA | 2016年 / 173卷 / 03期

关键词：

elliptic curve; canonical height; Lang's conjecture; PRIMITIVE DIVISORS; CANONICAL HEIGHT; DIVISIBILITY SEQUENCES; INTEGRAL POINTS; TWISTS; DIFFERENCE; BOUNDS;

D O I：

10.4064/aa7761-2-2016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：197 / 224

页数：28

共 42 条

[1] LANG'S CONJECTURE AND SHARP HEIGHT ESTIMATES FOR THE ELLIPTIC CURVES y2 = x3 + ax
Voutier, Paul
Yabuta, Minoru
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2013, 9 (05) : 1141 - 1170
[2] MERSENNE PRIME'S FUNCTION IN ELLIPTIC CURVES y2 = x3 ± 3px AND y2 = x3 ± 6 px
Kim, Shin-Wook
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2022, 59 : 47 - 66
[3] On the Birch-Swinnerton-Dyer Conjecture of Elliptic Curves ED : y2 = x3 - D2x
Li D.
Tian Y.
Acta Mathematica Sinica, 2000, 16 (2) : 229 - 236
[4] The Selmer groups of elliptic Curves En : y2 = x3 + nx
Li, Guilin
Cheng, Teng
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2023, 30 (03) : 369 - 385
[5] ON THE FAMILY OF ELLIPTIC CURVES Y2 = X3 - T2X+1
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GLASNIK MATEMATICKI, 2012, 47 (01) : 81 - 93
[6] On the Mordell-Weil group of the elliptic curve y2 = x3 + n
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JOURNAL OF NUMBER THEORY, 2012, 132 (03) : 448 - 466
[7] On the family of elliptic curves y2 = x3 - m2x + p2
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PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2018, 128 (05):
[8] THE TORSION SUBGROUP OF THE ELLIPTIC CURVE Y2 = X3
Dimabayao, Jerome T.
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2020, 63 (02) : 137 - 149
[9] The average size of the 3-isogeny Selmer groups of elliptic curves y2 = x3 + k
Bhargava, Manjul
Elkies, Noam
Shnidman, Ari
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2020, 101 (01): : 299 - 327
[10] Elliptic Curves of Type y2 = x3 - 3pqx Having Ranks Zero and One
Mina, R. J. S.
Bacani, J. B.
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2023, 17 (01): : 67 - 76

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