Properties

Label 3920.bj
Number of curves $1$
Conductor $3920$
CM no
Rank $0$

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

Elliptic curves in class 3920.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3920.bj1 3920bi1 \([0, 0, 0, -112, -784]\) \(-110592/125\) \(-175616000\) \([]\) \(1920\) \(0.27639\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3920.bj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3920.bj do not have complex multiplication.

Modular form 3920.2.a.bj

sage: E.q_eigenform(10)
 
\(q + 3q^{3} + q^{5} + 6q^{9} - q^{11} - 3q^{13} + 3q^{15} + 3q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display