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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 2800.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2800.f1 | 2800n1 | \([0, 1, 0, -708, 16963]\) | \(-6288640/16807\) | \(-105043750000\) | \([]\) | \(2400\) | \(0.80228\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2800.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2800.f do not have complex multiplication.Modular form 2800.2.a.f
sage: E.q_eigenform(10)