Base field \(\Q(\sqrt{-13}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 13 \); class number \(2\).
Elliptic curves in class 64.1-c over \(\Q(\sqrt{-13}) \)
Isogeny class 64.1-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
64.1-c1 | \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -3 a - 5\) , \( a + 7\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)