@article{CM_1996__104_3_293_0, author = {Ono, Ken}, title = {Rank zero quadratic twists of modular elliptic curves}, journal = {Compositio Mathematica}, pages = {293--304}, publisher = {Kluwer Academic Publishers}, volume = {104}, number = {3}, year = {1996}, mrnumber = {1424558}, zbl = {0876.11025}, language = {en}, url = {http://archive.numdam.org/item/CM_1996__104_3_293_0/} }
Ono, Ken. Rank zero quadratic twists of modular elliptic curves. Compositio Mathematica, Tome 104 (1996) no. 3, pp. 293-304. http://archive.numdam.org/item/CM_1996__104_3_293_0/
1 Nonvanishing theorems for L-functions of modular fomrs and their derivatives, Inventiones Math. 102 (1990), 543-618. | MR | Zbl
, and :2 La conjecture de Weil I, Publ. Math. I.H.E.S. 43 (1974), 273-307. | Numdam | MR | Zbl
:3 Modularity of a family of elliptic curves, Math. Research Letters (2)(3) (1995), 299-304. | MR | Zbl
and :4 The square-free sieve and the rank of elliptic curves, J. Amer. Math. Soc. 4 (1991), 1-23. | MR | Zbl
and :5 Elliptic curves, Springer-Verlag, New York, 1987. | MR | Zbl
:6 Elliptic curves, Princeton Univ. Press, 1992. | MR | Zbl
:7 Introduction to elliptic curves and modular forms, Springer-Verlag, 1984. | MR | Zbl
:8 A remark on the Shimura correspondence, Glasgow Math. J. 30 (1988), 285-291. | MR | Zbl
:9 Finiteness of E(Q) and the Tate-Shafarevich group of E(Q) for a subclass of Weil curves (Russian), Izv. Akad. Nauk, USSR, ser. Matem. 52 (1988). | Zbl
:10 Nonvanishing of L-series associated to cubic twists of elliptic curves, Jour Annals of Math. 40 (1994), 81-108. | MR | Zbl
:11 A note on quadratric twists of an elliptic curve, Elliptic curves and related topics, Ed. H. Kisilevsky and M. R. Murty, Amer. Math. Soc. [CRM Proceedings and Lecture Notes] (1994), 121-124. | MR | Zbl
and :12 Mean values of derivatives of modular L-series, Annals of Math. 133 (1991) 447-475. | MR | Zbl
and :13 Euler's concordant forms, Acta. Arith., to appear. | Zbl
:14 The arithmetic of elliptic curves, Springer-Verlag, New York, 1986. | MR | Zbl
:15 On modular forms of half-integral weight, Annals of Math. 97 (1973), 440-481. | MR | Zbl
:16 On ranks of twists of elliptic curves and power-free values of binary forms, preprint. | Zbl
and :17 A classical Diophantine problem and modular forms of weight 3/2, Inventiones Math. 72 (1983), 323-334. | MR | Zbl
:18 Facteurs gamma et equations fonctionelles, Springer Lect. in Math. 627 (1977), 79-103. | MR | Zbl
:19 Sur les coefficients de Fourier des formes modulaires de poids demi-entier, J. Math. Pures et Appl. 60 (1981), 375-484. | MR | Zbl
:20 Modular elliptic curves and Fermat's Last Theorem, Ann. Math. 141(3) (1995), 443-551. | MR | Zbl
: