Properties

Label 265200.x
Number of curves 1
Conductor 265200
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("265200.x1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 265200.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
265200.x1 265200x1 [0, -1, 0, -3536008, 4887434512] [] 14376960 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 265200.x1 has rank \(1\).

Modular form 265200.2.a.x

sage: E.q_eigenform(10)
 
\( q - q^{3} - 2q^{7} + q^{9} - q^{11} - q^{13} - q^{17} - 3q^{19} + O(q^{20}) \)