Properties

Base field 3.3.993.1
Label 3.3.993.1-15.2-a
Conductor 15.2
Rank \( 1 \)

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Base field 3.3.993.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 6 x + 3 \); class number \(1\).

Elliptic curves in class 15.2-a over 3.3.993.1

Isogeny class 15.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
15.2-a1 \( \bigl[0\) , \( -a^{2} + 3\) , \( a\) , \( a^{2} + 2 a + 1\) , \( -a^{2} - a + 1\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph