Properties

Label 76440.be
Number of curves $1$
Conductor $76440$
CM no
Rank $1$

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

Elliptic curves in class 76440.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76440.be1 76440by1 \([0, -1, 0, 81520, -852228]\) \(10149078716/5923125\) \(-34965132209280000\) \([]\) \(451584\) \(1.8639\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76440.be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 76440.be do not have complex multiplication.

Modular form 76440.2.a.be

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