Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 192.7-a over \(\Q(\sqrt{57}) \)
Isogeny class 192.7-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 192.7-a1 | \( \bigl[0\) , \( -a + 1\) , \( a\) , \( 10267 a - 43887\) , \( -1142518 a + 4884164\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
