Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("224400.w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 224400di

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
224400.w1 224400di1 [0, -1, 0, -146888, 24191472] [] 1990656 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400di1 has rank \(1\).

Modular form 224400.2.a.w

sage: E.q_eigenform(10)
 
\( q - q^{3} - 3q^{7} + q^{9} - q^{11} + 5q^{13} - q^{17} - q^{19} + O(q^{20}) \)