?? various things you could try to do with an elliptic curve ... interrelationships among them .... ??? .....

?? construe its spectrum over a finite field as ... ?? special case of spectrum of hyperelliptic curve over finite field .... ??? to which you could try to apply "quadratic reciprocity with global number field q replaced by global function field f_q(x)" .... ???? .....

?? how close did that come to parsing ??? ....

?? get galois rep over z/p by taking p-torsion points on it .... ??? .....

.... ??? ....

?? l-function ... ???

?? zeta function .... ??? ...