Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-58482.1-c
Conductor 58482.1
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 58482.1-c over \(\Q(\sqrt{-1}) \)

Isogeny class 58482.1-c contains 4 curves linked by isogenies of degrees dividing 6.

Curve label Weierstrass Coefficients
58482.1-c1 \( \bigl[i\) , \( 1\) , \( 0\) , \( -3762\) , \( -97470\bigr] \)
58482.1-c2 \( \bigl[i\) , \( 1\) , \( 0\) , \( 288\) , \( 216\bigr] \)
58482.1-c3 \( \bigl[i\) , \( 1\) , \( 0\) , \( -72\) , \( 0\bigr] \)
58482.1-c4 \( \bigl[i\) , \( 1\) , \( 0\) , \( -3852\) , \( -92988\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)\)

Isogeny graph