Base field \(\Q(\sqrt{157}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 39 \); class number \(1\).
Elliptic curves in class 9.3-a over \(\Q(\sqrt{157}) \)
Isogeny class 9.3-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 9.3-a1 | \( \bigl[a\) , \( a + 1\) , \( 0\) , \( 13 a + 35\) , \( 37 a + 12\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
