Elliptic curve isogeny class 33124.1-b over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-33124.1-b
• Conductor: 33124.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 33124.1-b over \(\Q(\sqrt{-3}) \)

Isogeny class 33124.1-b contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
33124.1-b1	\( \bigl[1\) , \( 0\) , \( 0\) , \( -26 a + 3\) , \( 124 a - 19\bigr] \)
33124.1-b2	\( \bigl[1\) , \( 0\) , \( 0\) , \( -1246 a + 1868\) , \( 14132 a + 15628\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph