Properties

Label 481650.v
Number of curves $1$
Conductor $481650$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 481650.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
481650.v1 481650v1 \([1, 1, 0, 166800, -124896000]\) \(272199695/3735552\) \(-7043279692800000000\) \([]\) \(8294400\) \(2.2973\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 481650.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 481650.v do not have complex multiplication.

Modular form 481650.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - q^{11} - q^{12} + q^{16} - 4 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display