Properties

Label 53900be
Number of curves $1$
Conductor $53900$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 53900be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53900.bb1 53900be1 \([0, 1, 0, 292, 29588]\) \(80/11\) \(-377300000000\) \([]\) \(57600\) \(0.90069\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53900be1 has rank \(0\).

Complex multiplication

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

Modular form 53900.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} - q^{11} + 6 q^{13} - 5 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display