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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 16562f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16562.p1 | 16562f1 | \([1, 0, 1, -6088, 603670]\) | \(-89167/512\) | \(-143255366299136\) | \([]\) | \(44928\) | \(1.4002\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16562f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16562f do not have complex multiplication.Modular form 16562.2.a.f
sage: E.q_eigenform(10)