Elliptic curve isogeny class 100156.6-f over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-100156.6-f
• Conductor: 100156.6
• Rank: \( 1 \)

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

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

Elliptic curves in class 100156.6-f over \(\Q(\sqrt{-3}) \)

Isogeny class 100156.6-f contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
100156.6-f1	\( \bigl[a\) , \( 1\) , \( a + 1\) , \( -69 a + 487\) , \( 6081 a - 697\bigr] \)
100156.6-f2	\( \bigl[a\) , \( 1\) , \( a + 1\) , \( -119 a + 567\) , \( 5007 a - 1017\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph