Base field 4.4.6125.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 9 x^{2} + 9 x + 11 \); class number \(1\).
Elliptic curves in class 71.3-c over 4.4.6125.1
Isogeny class 71.3-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 71.3-c1 | \( \bigl[0\) , \( a^{2} - 5\) , \( 1\) , \( a^{3} - 9 a\) , \( 610 a^{3} + 832 a^{2} - 3525 a - 2843\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
