Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 2592.1-e over \(\Q(\sqrt{3}) \)
Isogeny class 2592.1-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 2592.1-e1 | \( \bigl[0\) , \( a\) , \( 0\) , \( 2 a + 3\) , \( 5 a + 10\bigr] \) |