Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("fe1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 139650.fe

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.fe1 139650db1 \([1, 1, 1, 11612, -4967719]\) \(10985/684\) \(-10781979370312500\) \([]\) \(1021440\) \(1.7560\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139650.fe1 has rank \(1\).

Complex multiplication

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

Modular form 139650.2.a.fe

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{8} + q^{9} - 2 q^{11} - q^{12} - 5 q^{13} + q^{16} - 4 q^{17} + q^{18} + q^{19} + O(q^{20})\)  Toggle raw display