Base field \(\Q(\sqrt{61}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 15 \); class number \(1\).
Elliptic curves in class 27.3-c over \(\Q(\sqrt{61}) \)
Isogeny class 27.3-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
27.3-c1 | \( \bigl[a\) , \( a\) , \( a + 1\) , \( 3 a + 6\) , \( 4 a + 12\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)