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On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of rank 
Authors:
Joe P. Buhler, Benedict H. Gross and Don B. Zagier
Journal:
Math. Comp. 44 (1985), 473-481
MSC:
Primary 11G40; Secondary 14G25
MathSciNet review:
777279
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Abstract: The elliptic curve has rank 3 over Q. Assuming the Weil-Taniyama conjecture for this curve, we show that its L-series 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 Birch-Swinnerton-Dyer conjecture if III is trivial.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0025-5718-1985-0777279-X
PII:
S 0025-5718(1985)0777279-X
Article copyright:
© Copyright 1985 American Mathematical Society
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