Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-38025.1-c
Conductor 38025.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{-3}) \)

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

Elliptic curves in class 38025.1-c over \(\Q(\sqrt{-3}) \)

Isogeny class 38025.1-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
38025.1-c1 \( \bigl[0\) , \( -a - 1\) , \( a\) , \( 111 a + 174\) , \( -1522 a + 1111\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph