Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-19881.1-e
Conductor 19881.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{-7}) \)

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

Elliptic curves in class 19881.1-e over \(\Q(\sqrt{-7}) \)

Isogeny class 19881.1-e contains only one elliptic curve.

Curve label Weierstrass Coefficients
19881.1-e1 \( \bigl[0\) , \( 1\) , \( 1\) , \( -26\) , \( -61\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph