Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("fw1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 139650.fw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.fw1 139650ei1 \([1, 1, 1, 412, 4031]\) \(10100279/14250\) \(-10910156250\) \([]\) \(117504\) \(0.61169\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139650.fw1 has rank \(0\).

Complex multiplication

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

Modular form 139650.2.a.fw

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{8} + q^{9} + 2 q^{11} - q^{12} - 4 q^{13} + q^{16} + 3 q^{17} + q^{18} + q^{19} + O(q^{20})\)  Toggle raw display