Elliptic curve isogeny class 1521.1-e over number field \(\Q(\sqrt{13}) \)

• Base field: \(\Q(\sqrt{13}) \)
• Label: 2.2.13.1-1521.1-e
• Conductor: 1521.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{13}) \)

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

Elliptic curves in class 1521.1-e over \(\Q(\sqrt{13}) \)

Isogeny class 1521.1-e contains 2 curves linked by isogenies of degree 7.

Curve label	Weierstrass Coefficients
1521.1-e1	\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 392 a - 910\) , \( 5912 a - 13643\bigr] \)
1521.1-e2	\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 2927 a - 6825\) , \( -649808 a + 1498062\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph