Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-22500.8-d
Conductor 22500.8
Rank \( 1 \)

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Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).

Elliptic curves in class 22500.8-d over \(\Q(\sqrt{-11}) \)

Isogeny class 22500.8-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
22500.8-d1 \( \bigl[1\) , \( 1\) , \( 0\) , \( -70 a - 10\) , \( -340 a + 280\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph