Properties

Label 224400ei
Number of curves 1
Conductor 224400
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("224400.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 224400ei

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
224400.d1 224400ei1 [0, -1, 0, -93, 1152] [] 115200 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400ei1 has rank \(2\).

Modular form 224400.2.a.d

sage: E.q_eigenform(10)
 
\( q - q^{3} - 5q^{7} + q^{9} - q^{11} + 6q^{13} - q^{17} + O(q^{20}) \)