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 594.2-e over \(\Q(\sqrt{3}) \)
Isogeny class 594.2-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 594.2-e1 | \( \bigl[a\) , \( -a\) , \( 1\) , \( a - 9\) , \( -3 a + 14\bigr] \) |