Elliptic curve isogeny class 2475.9-b over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-2475.9-b
• Conductor: 2475.9
• Rank: \( 0 \)

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

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

Elliptic curves in class 2475.9-b over \(\Q(\sqrt{-11}) \)

Isogeny class 2475.9-b contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
2475.9-b1	\( \bigl[0\) , \( -a + 1\) , \( a\) , \( 36 a + 15\) , \( -3 a + 262\bigr] \)
2475.9-b2	\( \bigl[0\) , \( -a + 1\) , \( a\) , \( 46 a + 95\) , \( 276 a - 231\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph