Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-12800.4-d
Conductor 12800.4
Rank \( 0 \)

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 12800.4-d over \(\Q(\sqrt{-7}) \)

Isogeny class 12800.4-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
12800.4-d1 \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 17 a - 35\) , \( 41 a - 63\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph