J invariant as a solution to a cubic
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In Starks proof of the class number 1 problem, on page 18 he mentions an equation derived by Weber that says: $exists a,b,cin Q(j(frac{-3+sqrt{d}}{2}))$ s.t. $j(frac{-3+sqrt{d}}{2})^3+aj(frac{-3+sqrt{d}}{2})^2+bj(frac{-3+sqrt{d}}{2})+c=0$. I cant find a free version of the paper, so I was wondering if anyone knows another source that derives this or if anyone can explain how to derive this. Thank you for any help!
modular-forms
$endgroup$
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$begingroup$
In Starks proof of the class number 1 problem, on page 18 he mentions an equation derived by Weber that says: $exists a,b,cin Q(j(frac{-3+sqrt{d}}{2}))$ s.t. $j(frac{-3+sqrt{d}}{2})^3+aj(frac{-3+sqrt{d}}{2})^2+bj(frac{-3+sqrt{d}}{2})+c=0$. I cant find a free version of the paper, so I was wondering if anyone knows another source that derives this or if anyone can explain how to derive this. Thank you for any help!
modular-forms
$endgroup$
add a comment |
$begingroup$
In Starks proof of the class number 1 problem, on page 18 he mentions an equation derived by Weber that says: $exists a,b,cin Q(j(frac{-3+sqrt{d}}{2}))$ s.t. $j(frac{-3+sqrt{d}}{2})^3+aj(frac{-3+sqrt{d}}{2})^2+bj(frac{-3+sqrt{d}}{2})+c=0$. I cant find a free version of the paper, so I was wondering if anyone knows another source that derives this or if anyone can explain how to derive this. Thank you for any help!
modular-forms
$endgroup$
In Starks proof of the class number 1 problem, on page 18 he mentions an equation derived by Weber that says: $exists a,b,cin Q(j(frac{-3+sqrt{d}}{2}))$ s.t. $j(frac{-3+sqrt{d}}{2})^3+aj(frac{-3+sqrt{d}}{2})^2+bj(frac{-3+sqrt{d}}{2})+c=0$. I cant find a free version of the paper, so I was wondering if anyone knows another source that derives this or if anyone can explain how to derive this. Thank you for any help!
modular-forms
modular-forms
edited Dec 16 '18 at 21:24
uhhhhidk
asked Dec 16 '18 at 19:31
uhhhhidkuhhhhidk
916
916
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