Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-60025.2-c
Conductor 60025.2
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{-1}) \)

Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).

Elliptic curves in class 60025.2-c over \(\Q(\sqrt{-1}) \)

Isogeny class 60025.2-c contains 3 curves linked by isogenies of degrees dividing 9.

Curve label Weierstrass Coefficients
60025.2-c1 \( \bigl[0\) , \( 1\) , \( i\) , \( -6435\) , \( -210006\bigr] \)
60025.2-c2 \( \bigl[0\) , \( 1\) , \( i\) , \( -65\) , \( 204\bigr] \)
60025.2-c3 \( \bigl[0\) , \( 1\) , \( i\) , \( 425\) , \( -433\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 9 & 3 \\ 9 & 1 & 3 \\ 3 & 3 & 1 \end{array}\right)\)

Isogeny graph