Properties

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

Isogeny class 58482.1-e contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
58482.1-e1 \( \bigl[i\) , \( 1\) , \( i\) , \( -769\) , \( -12003\bigr] \)
58482.1-e2 \( \bigl[i\) , \( 1\) , \( i\) , \( -859\) , \( -9915\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph