Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 5733.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5733.l1 5733l1 \([0, 0, 1, 441, 2315]\) \(110592/91\) \(-7804717011\) \([]\) \(6144\) \(0.58593\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5733.l1 has rank \(0\).

Complex multiplication

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

Modular form 5733.2.a.l

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - 3 q^{5} - 6 q^{10} + 6 q^{11} + q^{13} - 4 q^{16} + 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display