Properties

Label 162288bz
Number of curves $1$
Conductor $162288$
CM no
Rank $1$

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

Elliptic curves in class 162288bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162288.ed1 162288bz1 \([0, 0, 0, -15267, -6336862]\) \(-2689684081/117006336\) \(-17119573312536576\) \([]\) \(718848\) \(1.7950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162288bz1 has rank \(1\).

Complex multiplication

The elliptic curves in class 162288bz do not have complex multiplication.

Modular form 162288.2.a.bz

sage: E.q_eigenform(10)
 
\(q + q^{5} - 3 q^{11} - 2 q^{13} - 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display