Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-19600.5-d
Conductor 19600.5
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 19600.5-d over \(\Q(\sqrt{-7}) \)

Isogeny class 19600.5-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
19600.5-d1 \( \bigl[0\) , \( -a + 1\) , \( a + 1\) , \( 2 a + 2\) , \( -7 a + 5\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph