Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("ji1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 139650.ji

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.ji1 139650cn1 \([1, 0, 0, -638, 116892]\) \(-60025/12312\) \(-5891484375000\) \([]\) \(311040\) \(1.1297\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139650.ji1 has rank \(0\).

Complex multiplication

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

Modular form 139650.2.a.ji

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