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 2888.1-c over \(\Q(\sqrt{3}) \)
Isogeny class 2888.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 2888.1-c1 | \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -10 a - 15\) , \( 21 a + 37\bigr] \) |