Properties

Base field \(\Q(\sqrt{65}) \)
Label 2.2.65.1-16.3-b
Conductor 16.3
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{65}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).

Elliptic curves in class 16.3-b over \(\Q(\sqrt{65}) \)

Isogeny class 16.3-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
16.3-b1 \( \bigl[0\) , \( -a\) , \( 0\) , \( 4123 a - 18675\) , \( 308638 a - 1398482\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph