Properties

Base field \(\Q(\sqrt{19}) \)
Label 2.2.76.1-16.1-a
Conductor 16.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{19}) \)

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

Elliptic curves in class 16.1-a over \(\Q(\sqrt{19}) \)

Isogeny class 16.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
16.1-a1 \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 6 a + 26\) , \( 8 a + 36\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph