Intermediate modular curves with infinitely many cubic points over Q

被引:0
|
作者
Dalal, Tarun [1 ]
机构
[1] Shanghai Tech Univ, Inst Math Sci, 393 Middle Huaxia Rd, Shanghai 201210, Peoples R China
关键词
Modular curve; intermediate; cubic point; ELLIPTIC-CURVES; TORSION;
D O I
10.1142/S1793042124500350
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we determine all intermediate modular curves X-Delta(N) that admit infinitely many cubic points over the rational field Q.
引用
收藏
页码:701 / 713
页数:13
相关论文
共 50 条
  • [21] Algebraic curves with many points over the binary field
    Xing, Chaoping
    Yeo, Sze Ling
    JOURNAL OF ALGEBRA, 2007, 311 (02) : 775 - 780
  • [22] On curves with many rational points over finite fields
    Garcia, A
    FINITE FIELDS WITH APPLICATIONS TO CODING THEORY, CRYPTOGRAPHY AND RELATED AREAS, 2002, : 152 - 163
  • [23] Curves over finite fields with many points: an introduction
    Voight, J
    COMPUTATIONAL ASPECTS OF ALGEBRAIC CURVES, 2005, 13 : 124 - 144
  • [24] Plane curves with many points over finite fields
    Carlin, ML
    Voloch, JF
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2004, 34 (04) : 1255 - 1259
  • [25] Elliptic curves over totally real cubic fields are modular
    Derickx, Maarten
    Najman, Filip
    Siksek, Samir
    ALGEBRA & NUMBER THEORY, 2020, 14 (07) : 1791 - 1800
  • [26] The Steiner Problem for Infinitely Many Points
    Paolini, E.
    Ulivi, L.
    RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2010, 124 : 43 - 56
  • [28] Reciprocal polynomials and curves with many points over a finite field
    Gupta, Rohit
    Mendoza, Erik A. R.
    Quoos, Luciane
    RESEARCH IN NUMBER THEORY, 2023, 9 (03)
  • [29] Rational curves with many rational points over a finite field
    Fukasawa, Satoru
    Homma, Masaaki
    Kim, Seon Jeong
    ARITHMETIC, GEOMETRY, CRYPTOGRAPHY AND CODING THEORY, 2012, 574 : 37 - +
  • [30] Algebraic curves over finite fields with many rational points
    Niederreiter, H
    Xing, CP
    NUMBER THEORY: DIOPHANTINE, COMPUTATIONAL AND ALGEBRAIC ASPECTS, 1998, : 423 - 443