Properties

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

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

Curve label Weierstrass Coefficients
22500.3-d1 \( \bigl[i + 1\) , \( 0\) , \( 0\) , \( -3\) , \( 9 i\bigr] \)
22500.3-d2 \( \bigl[0\) , \( -1\) , \( 0\) , \( -13\) , \( 22\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph