Properties

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

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

Elliptic curves in class 141120.po

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141120.po1 141120cg1 \([0, 0, 0, 56448, -15706656]\) \(14155776/84035\) \(-118085320347402240\) \([]\) \(1290240\) \(1.9578\) \(\Gamma_0(N)\)-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)
 
\(q + q^{5} + 5 q^{11} - 3 q^{13} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display