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

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-100156.6-a
• Conductor: 100156.6
• Rank: \( 0 \)

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

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

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

Isogeny class 100156.6-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
100156.6-a1	\( \bigl[a\) , \( a\) , \( 0\) , \( 1506 a - 1753\) , \( 28807 a - 19984\bigr] \)
100156.6-a2	\( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -273 a - 39\) , \( 413 a + 488\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph