Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Elliptic curves in class 5000.1-i over \(\Q(\sqrt{3}) \)
Isogeny class 5000.1-i contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
5000.1-i1 | \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 125 a + 221\) , \( -2234 a - 3875\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)