Base field \(\Q(\sqrt{14}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).
Elliptic curves in class 50.3-g over \(\Q(\sqrt{14}) \)
Isogeny class 50.3-g contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 50.3-g1 | \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 43 a - 167\) , \( 943 a - 3531\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
