Properties

Label 139650.fi
Number of curves $1$
Conductor $139650$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fi1")
 
E.isogeny_class()
 

Elliptic curves in class 139650.fi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.fi1 139650fa1 \([1, 1, 1, 13594412, 14104165781]\) \(3084612735152711/2738367406080\) \(-246658486889646720000000\) \([]\) \(15724800\) \(3.1760\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139650.fi1 has rank \(0\).

Complex multiplication

The elliptic curves in class 139650.fi do not have complex multiplication.

Modular form 139650.2.a.fi

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{8} + q^{9} - 2 q^{11} - q^{12} + q^{16} + 5 q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display