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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 60333.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60333.p1 | 60333j1 | \([0, 1, 1, -2422, -670913]\) | \(-325660672/40000779\) | \(-193076120084211\) | \([]\) | \(370944\) | \(1.4206\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60333.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 60333.p do not have complex multiplication.Modular form 60333.2.a.p
sage: E.q_eigenform(10)