Base field \(\Q(\sqrt{113}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 28 \); class number \(1\).
Elliptic curves in class 14.1-e over \(\Q(\sqrt{113}) \)
Isogeny class 14.1-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 14.1-e1 | \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -17096 a - 82315\) , \( -2529384 a - 12179169\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
