On the conjecture of Birch and SwinnertonDyer for an elliptic curve of rank
Authors:
Joe P. Buhler, Benedict H. Gross and Don B. Zagier
Journal:
Math. Comp. 44 (1985), 473481
MSC:
Primary 11G40; Secondary 14G25
MathSciNet review:
777279
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Abstract: The elliptic curve has rank 3 over Q. Assuming the WeilTaniyama conjecture for this curve, we show that its Lseries has a triple zero at and compute to 28 decimal places; its value agrees with the product of the regulator and real period, in accordance with the BirchSwinnertonDyer conjecture if III is trivial.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0025571819850777279X
PII:
S 00255718(1985)0777279X
Article copyright:
© Copyright 1985
American Mathematical Society
