Properties

Label 162288.ej
Number of curves $1$
Conductor $162288$
CM no
Rank $1$

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

Elliptic curves in class 162288.ej

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162288.ej1 162288cc1 \([0, 0, 0, -4339587, 3491360642]\) \(-25727239787761/101406816\) \(-35624014853245894656\) \([]\) \(3317760\) \(2.6092\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162288.ej1 has rank \(1\).

Complex multiplication

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

Modular form 162288.2.a.ej

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