Properties

Base field 3.3.1825.1
Label 3.3.1825.1-49.2-c
Conductor 49.2
Rank \( 0 \)

Related objects

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Base field 3.3.1825.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 8 x + 7 \); class number \(1\).

Elliptic curves in class 49.2-c over 3.3.1825.1

Isogeny class 49.2-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
49.2-c1 \( \bigl[a + 1\) , \( 0\) , \( a^{2} + a - 5\) , \( -a^{2} - a + 5\) , \( -a - 2\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph