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Torsion points on elliptic curves
Author:
S. Kamienny
Journal:
Bull. Amer. Math. Soc. 23 (1990), 371-373
MSC (1985):
Primary 11G05, 11G18, 11F11, 14K07, 14H25
MathSciNet review:
1058689
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References |
Similar Articles |
Additional Information
- 1.
S.
Kamienny, On the torsion subgroups of elliptic curves over totally
real fields, Invent. Math. 83 (1986), no. 3,
545–551. MR
827366 (87f:11038), http://dx.doi.org/10.1007/BF01394421
- 2.
S. Kamienny, Torsion points on elliptic curves and q-coefficients of modular forms (in preparation).
- 3.
S.
Kamienny, Torsion points on elliptic curves over all quadratic
fields, Duke Math. J. 53 (1986), no. 1,
157–162. MR
835802 (87g:11068), http://dx.doi.org/10.1215/S0012-7094-86-05310-X
- 4.
Sheldon
Kamienny, Torsion points on elliptic curves over all quadratic
fields. II, Bull. Soc. Math. France 114 (1986),
no. 1, 119–122 (English, with French summary). MR 860654
(87j:11051)
- 5.
Y. Manin, A uniform bound for p-torsion in elliptic curves, Izv. Akad. Nauk. CCCP 33 (1969), 459-465.
- 6.
B.
Mazur, Modular curves and the Eisenstein ideal, Inst. Hautes
Études Sci. Publ. Math. 47 (1977), 33–186
(1978). MR
488287 (80c:14015)
- 7.
B.
Mazur, Rational isogenies of prime degree (with an appendix by D.
Goldfeld), Invent. Math. 44 (1978), no. 2,
129–162. MR
482230 (80h:14022), http://dx.doi.org/10.1007/BF01390348
- 8.
John
Milnor, Introduction to algebraic 𝐾-theory, Princeton
University Press, Princeton, N.J., 1971. Annals of Mathematics Studies, No.
72. MR
0349811 (50 #2304)
- 9.
A.
P. Ogg, Rational points of finite order on elliptic curves,
Invent. Math. 12 (1971), 105–111. MR 0291084
(45 #178)
- 10.
Joseph
H. Silverman, The arithmetic of elliptic curves, Graduate
Texts in Mathematics, vol. 106, Springer-Verlag, New York, 1986. MR 817210
(87g:11070)
John
T. Tate, The arithmetic of elliptic curves, Invent. Math.
23 (1974), 179–206. MR 0419359
(54 #7380)
- 1.
- S. Kamienny, On torsion subgroups of elliptic curves over totally real fields, Invent. Math. 83 (1986), 545-551. MR 827366
- 2.
- S. Kamienny, Torsion points on elliptic curves and q-coefficients of modular forms (in preparation).
- 3.
- S. Kamienny, Torsion points on elliptic curves over all quadratic fields, Duke Math. J. 53(1986), 157-162. MR 835802
- 4.
- S. Kamienny, Torsion points on elliptic curves over all quadratic fields II, Bull. Soc. Math. France 114 (1986), 119-122. MR 860654
- 5.
- Y. Manin, A uniform bound for p-torsion in elliptic curves, Izv. Akad. Nauk. CCCP 33 (1969), 459-465.
- 6.
- B. Mazur, Modular curves and the Eisenstein ideal, Publ. Math. IHES 47 (1978), 33-186. MR 488287
- 7.
- B. Mazur, Rational isogenies of prime degree, Invent. Math. 44 (1978), 129-162. MR 482230
- 8.
- J. Milnor, Introduction to algebraic K-theory, Annals of Math., study 72, Princeton University Press, 1971. MR 349811
- 9.
- A. Ogg, Rational points of finite order on elliptic curves, Invent. Math. 12 (1971), 105-111. MR 291084
- 10.
- J. Silverman, The arithmetic of elliptic curves, Springer-Verlag Graduate Texts in Mathematics, 1986. MR 817210
- 11 J. Tate, The arithmetic of elliptic curves, Invent. Math. 23 ( 1974), 179-206. MR 419359
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1990-15935-X
PII:
S 0273-0979(1990)15935-X
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