Properties

Label 224400ep
Number of curves 1
Conductor 224400
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("224400.q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 224400ep

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
224400.q1 224400ep1 [0, -1, 0, -1491733, 701767837] [] 2949120 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400ep1 has rank \(1\).

Modular form 224400.2.a.q

sage: E.q_eigenform(10)
 
\( q - q^{3} - 3q^{7} + q^{9} - q^{11} - 2q^{13} + q^{17} - 2q^{19} + O(q^{20}) \)