Base field \(\Q(\sqrt{14}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).
Elliptic curves in class 50.2-e over \(\Q(\sqrt{14}) \)
Isogeny class 50.2-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 50.2-e1 | \( \bigl[1\) , \( -a - 1\) , \( a\) , \( 42 a + 162\) , \( 478 a + 1786\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
