Properties

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

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Show commands: SageMath
E = EllipticCurve("ej1")
 
E.isogeny_class()
 

Elliptic curves in class 224400ej

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
224400.o1 224400ej1 \([0, -1, 0, -120208, -26161088]\) \(-4802500825/4634982\) \(-185399280000000000\) \([]\) \(2695680\) \(2.0096\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400ej1 has rank \(0\).

Complex multiplication

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

Modular form 224400.2.a.ej

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} + q^{11} + 3 q^{13} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display