Properties

Label 482790.fv
Number of curves $1$
Conductor $482790$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fv1")
 
E.isogeny_class()
 

Elliptic curves in class 482790.fv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
482790.fv1 482790fv1 \([1, 1, 1, 143685, 16243305]\) \(185183253170999/171032148000\) \(-302993883143028000\) \([]\) \(6854400\) \(2.0416\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 482790.fv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 482790.fv do not have complex multiplication.

Modular form 482790.2.a.fv

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + q^{7} + q^{8} + q^{9} + q^{10} - q^{12} - 3 q^{13} + q^{14} - q^{15} + q^{16} + 5 q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display