Properties

Label 25200ec
Number of curves $1$
Conductor $25200$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("25200.f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 25200ec

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
25200.f1 25200ec1 [0, 0, 0, 7200, 715500] [] 80640 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25200ec1 has rank \(1\).

Modular form 25200.2.a.f

sage: E.q_eigenform(10)
 
\( q - q^{7} - 5q^{11} + 3q^{13} - q^{17} - 6q^{19} + O(q^{20}) \)