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 1331.1-a over \(\Q(\sqrt{3}) \)
Isogeny class 1331.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1331.1-a1 | \( \bigl[0\) , \( -a\) , \( 1\) , \( -217 a + 313\) , \( 7461 a - 12690\bigr] \) |