Properties

Label 67600.be
Number of curves $1$
Conductor $67600$
CM no
Rank $2$

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

Elliptic curves in class 67600.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67600.be1 67600bt1 \([0, -1, 0, -2253, 28417]\) \(40960/13\) \(401590508800\) \([]\) \(48384\) \(0.93044\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67600.be1 has rank \(2\).

Complex multiplication

The elliptic curves in class 67600.be do not have complex multiplication.

Modular form 67600.2.a.be

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