A. Nitaj, Invariants des courbes de Frey--Hellegouarch et grands groupes de Tate-- Shafarevich, preprint, 1998. Home/Search Document Details and Download
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The abc-CONJECTURE - Browkin (Correct)
....7 and # ffi N 1=2 = 6:983: It is the largest known value of # ffi N 1=2 : On the other hand de Weger conjectures that for every 0 there is a C( 0 such that there exist infinitely many elliptic curves defined over Q satisfying # C( N 1=2 Gamma : Recently A. Nitaj [Ni1] has found the elliptic curve Y 2 XY Y = X 3 X 2 Gamma 3532978428694464611454768601X Gamma80827582979574301299537222938555582992327; with # = 1832 2 and #=N 1=2 = 42:265: It corresponds in some way to the example 18. in the table at the end of the present paper. 2.4. Weak forms ....
A. Nitaj, Invariants des courbes de Frey--Hellegouarch et grands groupes de Tate-- Shafarevich, preprint, 1998.
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