On Manin's conditional algorithm

Horst G. Zimmer

Mémoires de la Société Mathématique de France (1977)

  • Volume: 49-50, page 211-224
  • ISSN: 0249-633X

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Zimmer, Horst G.. "On Manin's conditional algorithm." Mémoires de la Société Mathématique de France 49-50 (1977): 211-224. <http://eudml.org/doc/94763>.

@article{Zimmer1977,
author = {Zimmer, Horst G.},
journal = {Mémoires de la Société Mathématique de France},
language = {eng},
pages = {211-224},
publisher = {Société mathématique de France},
title = {On Manin's conditional algorithm},
url = {http://eudml.org/doc/94763},
volume = {49-50},
year = {1977},
}

TY - JOUR
AU - Zimmer, Horst G.
TI - On Manin's conditional algorithm
JO - Mémoires de la Société Mathématique de France
PY - 1977
PB - Société mathématique de France
VL - 49-50
SP - 211
EP - 224
LA - eng
UR - http://eudml.org/doc/94763
ER -

References

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  1. 1. V.A.Dem'janenko, Bounded torsion of elliptic curves. Mat. Zametki 12 (1972), 53-58 쀽 Math. Notes 12 (1972), 464-466. Zbl0254.14013MR56 #5575
  2. 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. Zbl0266.14012MR53 #5480
  3. 3. B. Mazur and J. Tate, Points of order 13 on elliptic curves. Inventiones math. 22(1973), 41-49. Zbl0268.14009MR50 #327
  4. 4. T. Nagell, Sur les propriétés arithmétiques des cubiques planes du premier genre. Acta Math. 52 (1929), 93-126. JFM54.0403.03
  5. 5. A.P. Ogg, Rational points of finite order on elliptic curves. Inventiones math. 12 (1971), 105-111. Zbl0216.05602MR45 #178
  6. 6. D.E. Penney and C. Pomerance, A search for elliptic curves with large rank. Math. Comp. 28, no. 127 (1974), 851-853. Zbl0309.14025MR51 #12861
  7. 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. Zbl0221.10023MR37 #5225
  8. 8. J. Tate, Rational points on elliptic curves. Philips Lectures, Haverford College 1961. 
  9. 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. Zbl0231.12001MR48 #2107
  10. 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. Zbl0305.14006MR50 #4590
  11. 11. H.G. Zimmer, On the difference of the Weil height and the Néron-Tate height. To appear in Math. Z. Zbl0303.14003
  12. 12. H.G. Zimmer, Points of finite order on elliptic curves over number fields. To appear. Zbl0349.14014

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