Base field 4.4.12725.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 10 x^{2} + 11 x + 29 \); class number \(1\).
Elliptic curves in class 25.1-g over 4.4.12725.1
Isogeny class 25.1-g contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 25.1-g1 | \( \bigl[1\) , \( a\) , \( a^{3} - a^{2} - 5 a\) , \( 51 a^{3} - 208 a^{2} - 67 a + 686\) , \( -509 a^{3} + 2102 a^{2} + 634 a - 6985\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
