Properties

Label 5520.be
Number of curves $1$
Conductor $5520$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 5520.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5520.be1 5520i1 \([0, 1, 0, 15, -117]\) \(1362944/25875\) \(-6624000\) \([]\) \(768\) \(-0.010740\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5520.be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5520.be do not have complex multiplication.

Modular form 5520.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - q^{7} + q^{9} - 4 q^{13} + q^{15} - q^{17} + O(q^{20})\) Copy content Toggle raw display