Elliptic curve isogeny class 102400.1-s over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-102400.1-s
• Conductor: 102400.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 102400.1-s over \(\Q(\sqrt{-3}) \)

Isogeny class 102400.1-s contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
102400.1-s1	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -7 a - 36\) , \( -20 a - 99\bigr] \)
102400.1-s2	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -7 a + 4\) , \( 4 a - 11\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph