Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-57122.3-a
Conductor 57122.3
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 57122.3-a over \(\Q(\sqrt{-1}) \)

Isogeny class 57122.3-a contains 2 curves linked by isogenies of degree 7.

Curve label Weierstrass Coefficients
57122.3-a1 \( \bigl[1\) , \( -1\) , \( 0\) , \( -389\) , \( -2859\bigr] \)
57122.3-a2 \( \bigl[i\) , \( 1\) , \( 0\) , \( 1\) , \( -1\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph