Base field \(\Q(\sqrt{13}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 3 \); class number \(1\).
Elliptic curves in class 675.2-i over \(\Q(\sqrt{13}) \)
Isogeny class 675.2-i contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 675.2-i1 | \( \bigl[0\) , \( -a + 1\) , \( 1\) , \( -10 a - 11\) , \( 29 a + 38\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
