Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-42592.18-g
Conductor 42592.18
Rank \( 2 \)

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 42592.18-g over \(\Q(\sqrt{-7}) \)

Isogeny class 42592.18-g contains only one elliptic curve.

Curve label Weierstrass Coefficients
42592.18-g1 \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -30 a - 22\) , \( -9 a - 81\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph