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

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-100156.6-e
• 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-e over \(\Q(\sqrt{-3}) \)

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

Curve label	Weierstrass Coefficients
100156.6-e1	\( \bigl[a\) , \( 1\) , \( 0\) , \( 365 a - 368\) , \( 3188 a - 2143\bigr] \)
100156.6-e2	\( \bigl[a\) , \( 1\) , \( 0\) , \( -915 a + 112\) , \( 17940 a - 4735\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph