Base field \(\Q(\sqrt{14}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).
Elliptic curves in class 50.1-c over \(\Q(\sqrt{14}) \)
Isogeny class 50.1-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
50.1-c1 | \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 20 a - 86\) , \( 142 a - 537\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)