Properties

Base field \(\Q(\sqrt{77}) \)
Label 2.2.77.1-77.1-h
Conductor 77.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{77}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 19 \); class number \(1\).

Elliptic curves in class 77.1-h over \(\Q(\sqrt{77}) \)

Isogeny class 77.1-h contains only one elliptic curve.

Curve label Weierstrass Coefficients
77.1-h1 \( \bigl[0\) , \( 0\) , \( 1\) , \( 18 a + 70\) , \( -20 a - 78\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph