Properties

Label 14400.ea
Number of curves $1$
Conductor $14400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ea1")
 
E.isogeny_class()
 

Elliptic curves in class 14400.ea

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14400.ea1 14400bz1 \([0, 0, 0, 4500, 270000]\) \(270\) \(-37324800000000\) \([]\) \(26880\) \(1.2871\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14400.ea1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14400.ea do not have complex multiplication.

Modular form 14400.2.a.ea

sage: E.q_eigenform(10)
 
\(q + 2 q^{7} + q^{11} - 4 q^{13} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display