Properties

Base field \(\Q(\sqrt{19}) \)
Label 2.2.76.1-152.1-d
Conductor 152.1
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 152.1-d over \(\Q(\sqrt{19}) \)

Isogeny class 152.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
152.1-d1 \( \bigl[0\) , \( 1\) , \( a + 1\) , \( 4420 a - 19266\) , \( -1918755 a + 8363652\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph