Properties

Base field 3.3.1101.1
Label 3.3.1101.1-1.1-a
Conductor 1.1
Rank \( 1 \)

Related objects

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Base field 3.3.1101.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 9 x + 12 \); class number \(1\).

Elliptic curves in class 1.1-a over 3.3.1101.1

Isogeny class 1.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
1.1-a1 \( \bigl[a\) , \( a^{2} - 6\) , \( a^{2} + a - 7\) , \( -4 a^{2} - 8 a + 26\) , \( 10 a^{2} + 14 a - 45\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph