Properties

Label 14400.bz
Number of curves $1$
Conductor $14400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bz1")
 
E.isogeny_class()
 

Elliptic curves in class 14400.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14400.bz1 14400p1 \([0, 0, 0, -54000, -4860000]\) \(-138240\) \(-125971200000000\) \([]\) \(46080\) \(1.5376\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14400.bz1 has rank \(0\).

Complex multiplication

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

Modular form 14400.2.a.bz

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