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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)