Elliptic curve isogeny class 100156.3-f over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-100156.3-f
• Conductor: 100156.3
• Rank: \( 1 \)

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

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

Elliptic curves in class 100156.3-f over \(\Q(\sqrt{-3}) \)

Isogeny class 100156.3-f contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
100156.3-f1	\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 67 a + 419\) , \( -6082 a + 5385\bigr] \)
100156.3-f2	\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 117 a + 449\) , \( -5008 a + 3991\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph