Properties

Label 141120.lf
Number of curves $1$
Conductor $141120$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("lf1")
 
E.isogeny_class()
 

Elliptic curves in class 141120.lf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141120.lf1 141120ix1 \([0, 0, 0, -8652, 360304]\) \(-15298178/3125\) \(-14631321600000\) \([]\) \(276480\) \(1.2485\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141120.lf1 has rank \(2\).

Complex multiplication

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

Modular form 141120.2.a.lf

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{11} - 3 q^{13} - 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display