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How to check two curves on birational equivalence?

I have two curves, for example hyperelliptic (or elliptic).

y^2 = x^6 + 14*x^4 + 5*x^3 + 14*x^2 + 18
y^2 = x^6 + 14*x^4 + 5*x^3 + 14*x^2 + 5*x + 1

How to check them on birational equivalence (is able one curve be birationally transformed to another?) via Sage?

How to check two curves on birational equivalence?

I have two curves, for example hyperelliptic (or elliptic).hyperelliptic:

y^2 = x^6 + 14*x^4 + 5*x^3 + 14*x^2 + 18
y^2 = x^6 + 14*x^4 + 5*x^3 + 14*x^2 + 5*x + 1

How to check them on birational equivalence (is able one curve be birationally transformed to another?) via Sage?