Properties

Label 53550.b
Number of curves $1$
Conductor $53550$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 53550.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53550.b1 53550y1 \([1, -1, 0, -3284442, 2297713716]\) \(-344002044213921241/1011143540736\) \(-11517556893696000000\) \([]\) \(2284800\) \(2.5279\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53550.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 53550.b do not have complex multiplication.

Modular form 53550.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} - 5 q^{11} + q^{13} + q^{14} + q^{16} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display