Base field \(\Q(\sqrt{14}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).
Elliptic curves in class 50.2-j over \(\Q(\sqrt{14}) \)
Isogeny class 50.2-j contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 50.2-j1 | \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 5 a - 11\) , \( -5 a + 25\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
