Base field \(\Q(\sqrt{14}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).
Elliptic curves in class 50.3-e over \(\Q(\sqrt{14}) \)
Isogeny class 50.3-e contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
50.3-e1 | \( \bigl[1\) , \( a - 1\) , \( a\) , \( -43 a + 162\) , \( -478 a + 1786\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)