Birch And Swinnertion-Dyer Part 2

This second paper, which proves 63 theorems, together with the first paper
that gives a complete proof of the Birch and Swinnerton-Dyer conjecture,
has completed a comprehensive program on the solutions of polynomials
over Z and Q\Z in algebra and number theory.
“Proof that in infinitely many cases the Birch and Swinnerton-Dyer
conjecture has no integer solutions and extend this to polynomials.”
Birch and Swinnerton-Dyer conjecture: the solutions of a type-1 Elliptic
curve depend on a function L, if L(1) = 0 , the numbers of solutions over Z
or Q\Z is infinite, if L(1) ̸ = 0, the number of solutions is finite, the
standard form of an Elliptic curve : y2 = x3 + ax +b, with a,b ∈ Q, and
4.a3 + 27.b2 ̸ = 0,
Mathematical methods used for this article: proof by Contradiction,
Fermat’s Little Theorem, and division remainders,etc (For p prime, ap − a
is divisible by p. If (a,p) = 1, then ap−1 − 1 is divisible by p etc)