Properties

Label 141120ku
Number of curves $1$
Conductor $141120$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ku1")
 
E.isogeny_class()
 

Elliptic curves in class 141120ku

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141120.oh1 141120ku1 \([0, 0, 0, -6449772, -6304795504]\) \(-215474070728/3645\) \(-501948679494205440\) \([]\) \(2838528\) \(2.5265\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141120ku1 has rank \(1\).

Complex multiplication

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

Modular form 141120.2.a.ku

sage: E.q_eigenform(10)
 
\(q + q^{5} + 3 q^{11} + q^{13} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display