Base field \(\Q(\sqrt{157}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 39 \); class number \(1\).
Elliptic curves in class 12.1-a over \(\Q(\sqrt{157}) \)
Isogeny class 12.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 12.1-a1 | \( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 52 a - 354\) , \( -344 a + 2327\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
