Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 144.3-n over \(\Q(\sqrt{57}) \)
Isogeny class 144.3-n contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 144.3-n1 | \( \bigl[a\) , \( -1\) , \( a\) , \( -7 a - 27\) , \( 12 a + 37\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
