Elliptic curve isogeny class 5625.3-e over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-5625.3-e
• Conductor: 5625.3
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).

Elliptic curves in class 5625.3-e over \(\Q(\sqrt{-11}) \)

Isogeny class 5625.3-e contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
5625.3-e1	\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 17 a - 53\) , \( -140 a + 360\bigr] \)
5625.3-e2	\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 92 a - 93\) , \( -452 a + 56\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph