Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 32.3-a over \(\Q(\sqrt{57}) \)
Isogeny class 32.3-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 32.3-a1 | \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -1305 a - 4263\) , \( 1125365 a + 3685487\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
