Properties

Label 14400cp
Number of curves 1
Conductor 14400
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("14400.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 14400cp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
14400.a1 14400cp1 [0, 0, 0, -8400, -354400] [] 43008 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14400cp1 has rank \(1\).

Modular form 14400.2.a.a

sage: E.q_eigenform(10)
 
\( q - 5q^{7} - 6q^{11} + 3q^{13} + 2q^{17} - q^{19} + O(q^{20}) \)