Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-12482.1-e
Conductor 12482.1
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 12482.1-e over \(\Q(\sqrt{-1}) \)

Isogeny class 12482.1-e contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
12482.1-e1 \( \bigl[i\) , \( -1\) , \( i\) , \( -419\) , \( -3109\bigr] \)
12482.1-e2 \( \bigl[1\) , \( 1\) , \( 1\) , \( -23380\) , \( -1385691\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph