Properties

Label 224400hj
Number of curves $1$
Conductor $224400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("hj1")
 
E.isogeny_class()
 

Elliptic curves in class 224400hj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
224400.j1 224400hj1 \([0, -1, 0, 1167, -216963]\) \(1756160/203643\) \(-20364300000000\) \([]\) \(599040\) \(1.2331\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400hj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 224400hj do not have complex multiplication.

Modular form 224400.2.a.hj

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} - q^{11} - q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display