Properties

Label 76440cv
Number of curves $1$
Conductor $76440$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("cv1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 76440cv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76440.cc1 76440cv1 \([0, 1, 0, 1664, 2960]\) \(10149078716/5923125\) \(-297198720000\) \([]\) \(64512\) \(0.89090\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76440cv1 has rank \(1\).

Complex multiplication

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

Modular form 76440.2.a.cv

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