Base field \(\Q(\sqrt{13}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 3 \); class number \(1\).
Elliptic curves in class 675.4-f over \(\Q(\sqrt{13}) \)
Isogeny class 675.4-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 675.4-f1 | \( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( a - 6\) , \( 2 a - 6\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
