Properties

Base field \(\Q(\sqrt{55}) \)
Label 2.2.220.1-8.1-e
Conductor 8.1
Rank not recorded

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Base field \(\Q(\sqrt{55}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 55 \); class number \(2\).

Elliptic curves in class 8.1-e over \(\Q(\sqrt{55}) \)

Isogeny class 8.1-e contains only one elliptic curve.

Curve label Weierstrass Coefficients
8.1-e1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 3456 a - 28080\) , \( 1257984 a - 9376128\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph