Properties

Base field \(\Q(\sqrt{51}) \)
Label 2.2.204.1-16.1-d
Conductor 16.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{51}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 51 \); class number \(2\).

Elliptic curves in class 16.1-d over \(\Q(\sqrt{51}) \)

Isogeny class 16.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
16.1-d1 \( \bigl[0\) , \( 0\) , \( a + 1\) , \( -9\) , \( a - 13\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph