Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 3721.1-b over \(\Q(\sqrt{3}) \)
Isogeny class 3721.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 3721.1-b1 | \( \bigl[1\) , \( 0\) , \( 0\) , \( -2\) , \( 1\bigr] \) |