Properties

Base field \(\Q(\sqrt{77}) \)
Label 2.2.77.1-17.2-b
Conductor 17.2
Rank not recorded

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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 17.2-b over \(\Q(\sqrt{77}) \)

Isogeny class 17.2-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
17.2-b1 \( \bigl[0\) , \( 0\) , \( 1\) , \( 25 a + 97\) , \( 2451 a + 9528\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph