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

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-102400.1-c
• Conductor: 102400.1
• Rank: \( 1 \)

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

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

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

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

Curve label	Weierstrass Coefficients
102400.1-c1	\( \bigl[0\) , \( -a\) , \( 0\) , \( 7 a + 5\) , \( -4 a - 9\bigr] \)
102400.1-c2	\( \bigl[0\) , \( -a\) , \( 0\) , \( 7 a + 85\) , \( -404 a + 215\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph