Properties

Base field \(\Q(\sqrt{19}) \)
Label 2.2.76.1-76.1-a
Conductor 76.1
Rank not recorded

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

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

Elliptic curves in class 76.1-a over \(\Q(\sqrt{19}) \)

Isogeny class 76.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
76.1-a1 \( \bigl[0\) , \( -1\) , \( a + 1\) , \( 70720 a - 308261\) , \( 21432885 a - 93423787\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph