Properties

Label 4026.f
Number of curves 1
Conductor 4026
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("4026.f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4026.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
4026.f1 4026f1 [1, 1, 1, 5104, 1980017] [] 23520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4026.f1 has rank \(0\).

Modular form 4026.2.a.f

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + 2q^{7} + q^{8} + q^{9} - q^{10} - q^{11} - q^{12} - 3q^{13} + 2q^{14} + q^{15} + q^{16} + 8q^{17} + q^{18} + 4q^{19} + O(q^{20}) \)