Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-57122.3-h
Conductor 57122.3
Rank \( 0 \)

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-h over \(\Q(\sqrt{-1}) \)

Isogeny class 57122.3-h contains 3 curves linked by isogenies of degrees dividing 9.

Curve label Weierstrass Coefficients
57122.3-h1 \( \bigl[i\) , \( 0\) , \( 0\) , \( -77659\) , \( 8336303\bigr] \)
57122.3-h2 \( \bigl[i\) , \( 0\) , \( 0\) , \( -764\) , \( 16264\bigr] \)
57122.3-h3 \( \bigl[i\) , \( 0\) , \( 0\) , \( 81\) , \( -467\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph