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              TERMS AND CONDITIONS
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1.  I, Robin Visser, agree to pay 100 GBP to any person who sends me a pair of polynomials (f(x), h(x)) with integer coefficients, which satisfy the following three conditions:

  i)  The curve C/Q defined by the Weierstrass equation y^2 + h(x)*y = f(x) is a smooth, projective, geometrically integral genus 2 curve over Q (the rational field).
 
  ii)  The Jacobian of C/Q has good reduction at every odd rational prime p.
 
  iii)  For each polynomial g(x) in the attached file genus2_good2.txt, the curve C/Q is not isomorphic over Q to the genus 2 curve defined by the Weierstrass equation y^2 = g(x).

2.  Any submission should be sent to my Warwick email address: robin.visser@warwick.ac.uk

3.  Payment will only be provided on receipt of an explicit pair of polynomials (f(x), h(x)) and not for a general construction or method from which such a pair may or may not implicitly be obtained.

4.  Payment will not be given for any non-constructive proof that such a curve exists, as such a proof may require verifying many cumbersome calculations and/or computations, which I may not have the time for.

5.  Similarly, payment will not be given for a proof that no such curve exists, as again such a proof may require verifying numerous computations/calculations.

6.  If the curve C/Q you provide has very large discriminant, I reserve the right to ask for a fully prime-factorised form of the discriminant.

7.  This offer can only be claimed at most once!

8.  This offer expires either on 31 December 2024, or when a new genus 2 curve has been found, whichever comes first.