Properties

Label 458640.bj
Number of curves $1$
Conductor $458640$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("bj1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 458640.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
458640.bj1 458640bj1 \([0, 0, 0, 5292, 153468]\) \(1354752/1625\) \(-19659695328000\) \([]\) \(787968\) \(1.2370\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 458640.bj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 458640.bj do not have complex multiplication.

Modular form 458640.2.a.bj

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3q^{11} - q^{13} - 2q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display