Properties

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

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Show commands: SageMath
E = EllipticCurve("lk1")
 
E.isogeny_class()
 

Elliptic curves in class 141120.lk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141120.lk1 141120y1 \([0, 0, 0, -252, 2646]\) \(-110592/125\) \(-2000376000\) \([]\) \(53760\) \(0.47912\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141120.lk1 has rank \(1\).

Complex multiplication

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

Modular form 141120.2.a.lk

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