Properties

Label 139230b
Number of curves 1
Conductor 139230
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("139230.ec1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 139230b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
139230.ec1 139230b1 [1, -1, 1, -267017, 53174409] [] 1128960 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139230b1 has rank \(1\).

Modular form 139230.2.a.ec

sage: E.q_eigenform(10)
 
\( q + q^{2} + q^{4} + q^{5} + q^{7} + q^{8} + q^{10} - 6q^{11} - q^{13} + q^{14} + q^{16} - q^{17} + q^{19} + O(q^{20}) \)