Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Elliptic curves in class 648.1-d over \(\Q(\sqrt{3}) \)
Isogeny class 648.1-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 648.1-d1 | \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 3 a - 3\) , \( -66 a + 115\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
