Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 192.7-e over \(\Q(\sqrt{57}) \)
Isogeny class 192.7-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 192.7-e1 | \( \bigl[0\) , \( 1\) , \( a\) , \( -97 a + 415\) , \( -824 a + 3518\bigr] \) |