Properties

Label 48400.z
Number of curves 1
Conductor 48400
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("48400.z1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 48400.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
48400.z1 48400y1 [0, -1, 0, -388208, -98155088] [] 760320 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48400.z1 has rank \(1\).

Modular form 48400.2.a.z

sage: E.q_eigenform(10)
 
\( q - q^{3} - 5q^{7} - 2q^{9} + 6q^{13} - 4q^{17} + 2q^{19} + O(q^{20}) \)