Properties

Base field 3.3.148.1
Label 3.3.148.1-338.2-d
Conductor 338.2
Rank \( 1 \)

Related objects

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Base field 3.3.148.1

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

Elliptic curves in class 338.2-d over 3.3.148.1

Isogeny class 338.2-d contains 2 curves linked by isogenies of degree 7.

Curve label Weierstrass Coefficients
338.2-d1 \( \bigl[1\) , \( a^{2} - a - 3\) , \( 0\) , \( -24323343 a^{2} - 28460417 a + 11208468\) , \( 120295763573 a^{2} + 140756447359 a - 55433626406\bigr] \)
338.2-d2 \( \bigl[1\) , \( a\) , \( a^{2} - a - 2\) , \( 10 a - 2\) , \( 5 a^{2} - 12 a + 3\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph