Base field \(\Q(\sqrt{14}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).
Elliptic curves in class 50.2-b over \(\Q(\sqrt{14}) \)
Isogeny class 50.2-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 50.2-b1 | \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -544 a - 2039\) , \( -21680 a - 81121\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
