Properties

Label 48400.f
Number of curves 1
Conductor 48400
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("48400.f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 48400.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
48400.f1 48400dm1 [0, 0, 0, 15125, 756250] [] 299520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48400.f1 has rank \(0\).

Modular form 48400.2.a.f

sage: E.q_eigenform(10)
 
\( q - 3q^{3} + q^{7} + 6q^{9} + 6q^{13} + 4q^{17} - 2q^{19} + O(q^{20}) \)