Base field \(\Q(\sqrt{14}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 256.1-c over \(\Q(\sqrt{14}) \)
Isogeny class 256.1-c contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 256.1-c1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( 1\) , \( -1\bigr] \) |
| 256.1-c2 | \( \bigl[0\) , \( -a\) , \( 0\) , \( 280 a - 1043\) , \( 4877 a - 18250\bigr] \) |