journal article
Jun 01, 1979
On some elliptic curves defined over Q of free rank ?9
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References
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GRUNEWALD, F.J., ZIMMERT, R.: �ber einige rationale elliptische Kurven mit freien Rang ? 8. J. reine. angew. Math.,296, 100?107 (1977)
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MORDELL, L.J.: Diophantine equations. London and New York, Academic Press, 1969
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N�RON, A.: Probl�mes arithm�tiques et g�ometriques rattach�s � la notion de rang d'une courbe algebrique dans un corps. Bull. Soc. Math. France,80, 101?166 (1952)
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N�RON, A.: Propri�t�s arithm�tiques de certaines familles de courbes algebriques. Proc. Int. Congress. Amsterdam,III, 481?488 (1954)
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PENNY, D.E., POMERANCE, C.: Three elliptic curves with rank at least seven. Mathematics of Computation,29, 965?968 (1975)
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PENNY, D.E., POMERANCE, C.: A search for elliptic curves with large rank. Mathematics of Computation,28, 851?853 (1974)
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WIMAN, A.: �ber den Rang von den Kurven y2=x(x+a) (x+b). Acta Math.,76, 225?251 (1944)
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WIMAN, A.: �ber rationale Punkte auf den Kurven y2=x(x2?c2). Acta Math.,77, 281?320 (1945)
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WIMAN, A.: �ber rationale Punkte auf Kurven dritter Ordnung vom Geschlechte eins. Acta Math.,80, 223?257 (1948)
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4
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9
References
Details
- Published
- Jun 01, 1979
- Vol/Issue
- 29(2-4)
- Pages
- 183-194
- License
- View
Authors
Cite This Article
Kumiko Nakata (1979). On some elliptic curves defined over Q of free rank ?9. Manuscripta Mathematica, 29(2-4), 183-194. https://doi.org/10.1007/bf01303626
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