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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 364650.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
364650.f1 | 364650f1 | \([1, 1, 0, 404800, 104544000]\) | \(18779477838616535/22915878365952\) | \(-8951514986700000000\) | \([]\) | \(9400320\) | \(2.3227\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364650.f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 364650.f do not have complex multiplication.Modular form 364650.2.a.f
sage: E.q_eigenform(10)