Base field \(\Q(\sqrt{14}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).
Elliptic curves in class 5.1-a over \(\Q(\sqrt{14}) \)
Isogeny class 5.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
5.1-a1 | \( \bigl[1\) , \( -1\) , \( a\) , \( -15 a - 54\) , \( -33 a - 127\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)