Elliptic curve isogeny class 14400.6-c over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-14400.6-c
• Conductor: 14400.6
• Rank: \( 0 \)

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

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

Elliptic curves in class 14400.6-c over \(\Q(\sqrt{-7}) \)

Isogeny class 14400.6-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
14400.6-c1	\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -157 a + 178\) , \( -54 a + 1364\bigr] \)
14400.6-c2	\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -612 a + 188\) , \( 6048 a - 6512\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph