Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 32.4-d over \(\Q(\sqrt{57}) \)
Isogeny class 32.4-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 32.4-d1 | \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -46213 a - 151336\) , \( 10459079 a + 34252623\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
