Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-72900.1-f
Conductor 72900.1
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 72900.1-f over \(\Q(\sqrt{-1}) \)

Isogeny class 72900.1-f contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
72900.1-f1 \( \bigl[0\) , \( 0\) , \( i + 1\) , \( 0\) , \( -2 i + 2\bigr] \)
72900.1-f2 \( \bigl[0\) , \( 0\) , \( i + 1\) , \( 0\) , \( 40 i - 54\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph