Base field 4.4.8768.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 7 \); class number \(1\).
Elliptic curves in class 7.2-a over 4.4.8768.1
Isogeny class 7.2-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 7.2-a1 | \( \bigl[a^{2} - 3\) , \( -a^{3} + a^{2} + 4 a + 1\) , \( a^{3} - a^{2} - 4 a + 1\) , \( 3 a + 6\) , \( -18 a^{3} - 10 a^{2} + 60 a + 45\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
