Base field \(\Q(\sqrt{14}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).
Elliptic curves in class 50.2-i over \(\Q(\sqrt{14}) \)
Isogeny class 50.2-i contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
50.2-i1 | \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -26289 a - 98364\) , \( -4532048 a - 16957370\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)