Properties

Base field 3.3.1492.1
Label 3.3.1492.1-14.1-b
Conductor 14.1
Rank 1 1

Related objects

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Base field 3.3.1492.1

Generator aa, with minimal polynomial x3x29x5 x^{3} - x^{2} - 9 x - 5 ; class number 11.

Elliptic curves in class 14.1-b over 3.3.1492.1

Isogeny class 14.1-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
14.1-b1 [1 \bigl[1 , a1 -a - 1 , a2a5 a^{2} - a - 5 , 5a2+15a+13 -5 a^{2} + 15 a + 13 , 10a232a28] 10 a^{2} - 32 a - 28\bigr]
14.1-b2 [1 \bigl[1 , a1 -a - 1 , a2a5 a^{2} - a - 5 , 75a2+235a+173 -75 a^{2} + 235 a + 173 , 716a22238a1692] 716 a^{2} - 2238 a - 1692\bigr]

Rank

Rank: 1 1

Isogeny matrix

(1221)\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)

Isogeny graph