Properties

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

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Show commands: SageMath
E = EllipticCurve("fn1")
 
E.isogeny_class()
 

Elliptic curves in class 141120fn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141120.fz1 141120fn1 \([0, 0, 0, -12348, -1037232]\) \(-3024/5\) \(-344272070983680\) \([]\) \(451584\) \(1.4802\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141120fn1 has rank \(1\).

Complex multiplication

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

Modular form 141120.2.a.fn

sage: E.q_eigenform(10)
 
\(q - q^{5} + 2 q^{11} + 6 q^{13} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display