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 A198393 Rank of hyperelliptic curve y^2 = x^5 - n. 1
 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 3, 1, 2, 1, 0, 0, 1, 0, 2, 3, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 3, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS If a(n)=0 number of rational points of hyperelliptic curve is finite and if a(n)<>0 then is infinite. For n when a(n)=0 see A198394. LINKS PROG (MAGMA) _ := PolynomialRing(Rationals()); for n := 1 to 100 do C := HyperellipticCurve(x^5-n); J := Jacobian(C); RankBound(J) CROSSREFS Cf. A179406, A179407, A179408. Sequence in context: A069848 A194702 A118682 * A083054 A336921 A297742 Adjacent sequences:  A198390 A198391 A198392 * A198394 A198395 A198396 KEYWORD nonn AUTHOR Artur Jasinski, Oct 24 2011 STATUS approved

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Last modified May 14 04:27 EDT 2021. Contains 343872 sequences. (Running on oeis4.)