Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 30625.3-g over \(\Q(\sqrt{-1}) \)
Isogeny class 30625.3-g contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 30625.3-g1 | \( \bigl[0\) , \( 1\) , \( 1\) , \( -3708\) , \( 86119\bigr] \) |
| 30625.3-g2 | \( \bigl[0\) , \( -1\) , \( i\) , \( 42\) , \( 131\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
