Base field \(\Q(\sqrt{13}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 3 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 1024.1-i over \(\Q(\sqrt{13}) \)
Isogeny class 1024.1-i contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1024.1-i1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 21 a - 49\) , \( 72 a - 166\bigr] \) |