Properties

Label 54080.bc
Number of curves $1$
Conductor $54080$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 54080.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54080.bc1 54080dc1 \([0, -1, 0, -20505, -255503]\) \(1141504/625\) \(522067661440000\) \([]\) \(239616\) \(1.5148\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54080.bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54080.bc do not have complex multiplication.

Modular form 54080.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 5 q^{7} - 2 q^{9} - 5 q^{11} - q^{15} - q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display