Properties

Label 5733.i
Number of curves $1$
Conductor $5733$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 5733.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5733.i1 5733c1 \([1, -1, 0, 8811, 1274454]\) \(17999471/177957\) \(-747871398145053\) \([]\) \(32256\) \(1.5352\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5733.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5733.i do not have complex multiplication.

Modular form 5733.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} - 4 q^{5} - 3 q^{8} - 4 q^{10} + 5 q^{11} - q^{13} - q^{16} - 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display