Base field \(\Q(\sqrt{13}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 3 \); class number \(1\).
Elliptic curves in class 324.2-e over \(\Q(\sqrt{13}) \)
Isogeny class 324.2-e contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
324.2-e1 | \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -6 a - 11\) , \( 15 a + 17\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)