Geodesic
On Manin's conditional algorithm
Utilisation des calculateurs en mathématiques pures (Limoges, 1975), Mémoires de la Société Mathématique de France, no. 49-50 (1977), pp. 211-224.

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Zimmer, Horst G. On Manin's conditional algorithm, dans Utilisation des calculateurs en mathématiques pures (Limoges, 1975), Mémoires de la Société Mathématique de France, no. 49-50 (1977), pp. 211-224. doi : 10.24033/msmf.231. http://geodesic.mathdoc.fr/articles/10.24033/msmf.231/

1. V.A.Dem'Janenko, Bounded torsion of elliptic curves. Mat. Zametki 12 (1972), 53-58 쀽 Math. Notes 12 (1972), 464-466. | Zbl | MR

2. Ju. I. Manin, Cyclotomic fields and modular curves. Uspehi Mat. Nauk 26(1971), no. 6(162), 7-71 쀽 Russian Math. Surveys 26(1971), no. 6, 7-78. | Zbl | MR

3. B. Mazur and J. Tate, Points of order 13 on elliptic curves. Inventiones math. 22(1973), 41-49. | Zbl | MR

4. T. Nagell, Sur les propriétés arithmétiques des cubiques planes du premier genre. Acta Math. 52 (1929), 93-126. | JFM

5. A.P. Ogg, Rational points of finite order on elliptic curves. Inventiones math. 12 (1971), 105-111. | Zbl | MR

6. D.E. Penney and C. Pomerance, A search for elliptic curves with large rank. Math. Comp. 28, no. 127 (1974), 851-853. | Zbl | MR

7. N.M. Stephens, The diophantine equation X3 쀫 Y3 쀽 DZ3 and the conjectures of Birch and Swinnerton-Dyer. J. reine angew. Math. 231 (1968), 121-162. | Zbl | MR

8. J. Tate, Rational points on elliptic curves. Philips Lectures, Haverford College 1961.

9. H.G. Zimmer, Computational Problems, Methods, and Results in Algebraic Number Theory. Lecture Notes in Math., Vol.262, Springer-Verlag, Berlin-Heidelberg-New York 1972. | Zbl | MR

10. H.G. Zimmer, Ein Analogon des Satzes von Nagell-Lutz über die Torsion einer elliptischen Kurve. J. reine angew. Math. 268/269 (1974), 360-378. | Zbl | MR

11. H.G. Zimmer, On the difference of the Weil height and the Néron-Tate height. To appear in Math. Z. | Zbl

12. H.G. Zimmer, Points of finite order on elliptic curves over number fields. To appear.

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