Base field \(\Q(\sqrt{14}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).
Elliptic curves in class 50.2-h over \(\Q(\sqrt{14}) \)
Isogeny class 50.2-h contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 50.2-h1 | \( \bigl[1\) , \( 1\) , \( 0\) , \( -17 a + 64\) , \( 0\bigr] \) |
| 50.2-h2 | \( \bigl[1\) , \( 1\) , \( 0\) , \( 68 a - 256\) , \( 85 a - 320\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
