Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-22500.3-c
Conductor 22500.3
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 22500.3-c over \(\Q(\sqrt{-1}) \)

Isogeny class 22500.3-c contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
22500.3-c1 \( \bigl[0\) , \( -i\) , \( i + 1\) , \( 303\) , \( -2135 i\bigr] \)
22500.3-c2 \( \bigl[0\) , \( -i\) , \( i + 1\) , \( 3\) , \( -5 i\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph