Properties

Label 139650jf
Number of curves $1$
Conductor $139650$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("jf1")
 
E.isogeny_class()
 

Elliptic curves in class 139650jf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.bk1 139650jf1 \([1, 1, 0, 1935, 156885]\) \(272199695/3735552\) \(-10987098931200\) \([]\) \(294912\) \(1.1831\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139650jf1 has rank \(1\).

Complex multiplication

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

Modular form 139650.2.a.jf

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