Properties

Label 2800.be
Number of curves $1$
Conductor $2800$
CM no
Rank $0$

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

Elliptic curves in class 2800.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
2800.be1 2800q1 [0, 0, 0, 800, -26500] [] 5760 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2800.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2800.be do not have complex multiplication.

Modular form 2800.2.a.be

sage: E.q_eigenform(10)
 
\( q + 3q^{3} - q^{7} + 6q^{9} + 5q^{11} + 3q^{13} + q^{17} - 6q^{19} + O(q^{20}) \)