Properties

Label 481650.hv
Number of curves $1$
Conductor $481650$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("hv1")
 
E.isogeny_class()
 

Elliptic curves in class 481650.hv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
481650.hv1 481650hv1 \([1, 0, 0, 6672, -999168]\) \(272199695/3735552\) \(-450769900339200\) \([]\) \(1658880\) \(1.4926\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 481650.hv1 has rank \(0\).

Complex multiplication

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

Modular form 481650.2.a.hv

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