Elliptic curve isogeny class 14400.1-e over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-14400.1-e
• Conductor: 14400.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-7}) \)

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

Elliptic curves in class 14400.1-e over \(\Q(\sqrt{-7}) \)

Isogeny class 14400.1-e contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
14400.1-e1	\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -15 a + 12\) , \( -12 a + 31\bigr] \)
14400.1-e2	\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 2\) , \( -2 a + 3\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph