Elliptic curve isogeny class 7936.2-e over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-7936.2-e
• Conductor: 7936.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 7936.2-e over \(\Q(\sqrt{-3}) \)

Isogeny class 7936.2-e contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
7936.2-e1	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -31 a + 25\) , \( 39 a - 112\bigr] \)
7936.2-e2	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 66 a - 97\) , \( -321 a + 353\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph