A NOTE ON SILVERMAN’S CONJECTURE

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Nabardi K.; Naghdali Forooshani R.

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2012 | Issue:43

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Title

A NOTE ON SILVERMAN’S CONJECTURE

Author(s)

Nabardi K. | Naghdali Forooshani R. | Issue Writer Certificate

Keywords

ELLIPTIC CURVES

SILVERMAN’S CONJECTURE

TWIST

Abstract

LET E: Y2 = X3 + AX + B BE AN ELLIPTIC CURVE. SILVERMAN’S CONJECTURE EXPRESSES THAT IF E IS AN ELLIPTIC CURVE, THEN THERE ARE INFINITELY MANY PRIMES P FOR WHICH E(P): Y2 = X3 +AP2X+BP3 HAS RANK 0, AND THERE ARE INFINITELY MANY PRIMES L FOR WHICH E(L) HAS POSITIVE RANK. IN THIS PAPER, WE INVESTIGATE SILVERMAN’S CONJECTURE FOR A SPECIAL ELLIPTIC CURVE Y2 = X3 − 635318657X.

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APA: Copy

Nabardi, K., & Naghdali Forooshani, R.. (2012). A NOTE ON SILVERMAN’S CONJECTURE. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/926007/en

Vancouver: Copy

Nabardi K., Naghdali Forooshani R.. A NOTE ON SILVERMAN’S CONJECTURE. 2012. Available from: https://sid.ir/paper/926007/en

IEEE: Copy

K. Nabardi, and R. Naghdali Forooshani, “A NOTE ON SILVERMAN’S CONJECTURE,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2012, [Online]. Available: https://sid.ir/paper/926007/en

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