Base field \(\Q(\sqrt{349}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 87 \); class number \(1\).
Elliptic curves in class 12.2-a over \(\Q(\sqrt{349}) \)
Isogeny class 12.2-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 12.2-a1 | \( \bigl[1\) , \( 1\) , \( a\) , \( -111230 a - 983354\) , \( -65337102 a - 577630366\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
