Properties

Label 54418.f
Number of curves $1$
Conductor $54418$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 54418.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54418.f1 54418e1 \([1, -1, 1, 2781539, 4194361253]\) \(2917645350022143/11008380780544\) \(-8979874391155699892224\) \([]\) \(3983616\) \(2.8953\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54418.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54418.f do not have complex multiplication.

Modular form 54418.2.a.f

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{5} - q^{7} + q^{8} - 3 q^{9} + 3 q^{10} - q^{14} + q^{16} + 3 q^{17} - 3 q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display