Base field \(\Q(\sqrt{14}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).
Elliptic curves in class 56.1-a over \(\Q(\sqrt{14}) \)
Isogeny class 56.1-a contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 56.1-a1 | \( \bigl[a\) , \( 0\) , \( 0\) , \( 4\) , \( 2\bigr] \) |
| 56.1-a2 | \( \bigl[a\) , \( 0\) , \( 0\) , \( -6\) , \( 2\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
