Elliptic curve isogeny class 2.1-a over number field 3.3.1373.1

• Base field: 3.3.1373.1
• Label: 3.3.1373.1-2.1-a
• Conductor: 2.1
• Rank: \( 1 \)

Base field 3.3.1373.1

Generator \(a\), with minimal polynomial \( x^{3} - 8 x - 5 \); class number \(1\).

Elliptic curves in class 2.1-a over 3.3.1373.1

Isogeny class 2.1-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
2.1-a1	\( \bigl[a^{2} - 4\) , \( a^{2} - 6\) , \( a + 1\) , \( 1472705 a^{2} - 980825 a - 11115626\) , \( -1788123223 a^{2} + 1166528817 a + 13571910454\bigr] \)
2.1-a2	\( \bigl[1\) , \( a^{2} - a - 6\) , \( 1\) , \( -17 a^{2} + 11 a + 129\) , \( -19 a^{2} + 14 a + 139\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph