Base field \(\Q(\sqrt{14}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).
Elliptic curves in class 5.1-b over \(\Q(\sqrt{14}) \)
Isogeny class 5.1-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
5.1-b1 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -8 a + 30\) , \( 27 a - 101\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)