Base field \(\Q(\sqrt{157}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 39 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 39.2-c over \(\Q(\sqrt{157}) \)
Isogeny class 39.2-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 39.2-c1 | \( \bigl[0\) , \( 1\) , \( 1\) , \( 139 a - 940\) , \( 1571 a - 10628\bigr] \) |