Properties

Label 141120.po
Number of curves $1$
Conductor $141120$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("po1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 141120.po

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
141120.po1 141120cg1 [0, 0, 0, 56448, -15706656] [] 1290240 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141120.po1 has rank \(1\).

Complex multiplication

The elliptic curves in class 141120.po do not have complex multiplication.

Modular form 141120.2.a.po

sage: E.q_eigenform(10)
 
\( q + q^{5} + 5q^{11} - 3q^{13} - q^{17} - 6q^{19} + O(q^{20}) \)