Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-92416.1-d
Conductor 92416.1
Rank \( 2 \)

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 92416.1-d over \(\Q(\sqrt{-1}) \)

Isogeny class 92416.1-d contains 3 curves linked by isogenies of degrees dividing 9.

Curve label Weierstrass Coefficients
92416.1-d1 \( \bigl[0\) , \( -i\) , \( 0\) , \( 248\) , \( 1424 i\bigr] \)
92416.1-d2 \( \bigl[0\) , \( -i\) , \( 0\) , \( 1368\) , \( -157168 i\bigr] \)
92416.1-d3 \( \bigl[0\) , \( -i\) , \( 0\) , \( -152\) , \( 5776 i\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph