Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("bf1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 3920.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3920.bf1 3920c1 \([0, -1, 0, -11776, -568224]\) \(-15298178/3125\) \(-36894726400000\) \([]\) \(10080\) \(1.3255\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3920.bf1 has rank \(1\).

Complex multiplication

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

Modular form 3920.2.a.bf

sage: E.q_eigenform(10)
 
\(q + 2q^{3} - q^{5} + q^{9} + q^{11} - 3q^{13} - 2q^{15} - 2q^{17} + 5q^{19} + O(q^{20})\)  Toggle raw display