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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 486720f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
486720.f1 | 486720f1 | \([0, 0, 0, -184548, 7083128]\) | \(1141504/625\) | \(380587325189760000\) | \([]\) | \(7188480\) | \(2.0641\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 486720f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 486720f do not have complex multiplication.Modular form 486720.2.a.f
sage: E.q_eigenform(10)