Base field 4.4.14197.1
Generator \(a\), with minimal polynomial \( x^{4} - 6 x^{2} - 3 x + 1 \); class number \(1\).
Elliptic curves in class 7.1-a over 4.4.14197.1
Isogeny class 7.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 7.1-a1 | \( \bigl[a + 1\) , \( a^{3} - a^{2} - 5 a\) , \( a^{3} - 5 a - 2\) , \( -2 a^{3} + 2 a^{2} + 9 a - 6\) , \( 5 a^{3} - 3 a^{2} - 28 a\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
