Properties

Label 62866f
Number of curves $1$
Conductor $62866$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("62866.f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 62866f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
62866.f1 62866f1 [1, 0, 0, 10131, -129919] [] 177408 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62866f1 has rank \(1\).

Modular form 62866.2.a.f

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