Properties

Label 53900y
Number of curves $1$
Conductor $53900$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 53900y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53900.q1 53900y1 \([0, 0, 0, -300125, 67528125]\) \(-16595712/1331\) \(-239779691593750000\) \([]\) \(483840\) \(2.0814\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53900y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 53900y do not have complex multiplication.

Modular form 53900.2.a.y

sage: E.q_eigenform(10)
 
\(q - 3 q^{9} - q^{11} - q^{13} + 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display