Properties

Base field 3.3.785.1
Label 3.3.785.1-37.1-d
Conductor 37.1
Rank \( 2 \)

Related objects

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Base field 3.3.785.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 6 x + 5 \); class number \(1\).

Elliptic curves in class 37.1-d over 3.3.785.1

Isogeny class 37.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
37.1-d1 \( \bigl[a^{2} + a - 3\) , \( -a^{2} - a + 4\) , \( a + 1\) , \( -a - 2\) , \( 0\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph