Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-15129.2-a
Conductor 15129.2
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 15129.2-a over \(\Q(\sqrt{-1}) \)

Isogeny class 15129.2-a contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
15129.2-a1 \( \bigl[0\) , \( -1\) , \( i\) , \( -10\) , \( -10\bigr] \)
15129.2-a2 \( \bigl[0\) , \( 1\) , \( 1\) , \( 20\) , \( -890\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph