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SageMath
E = EllipticCurve("ew1")
E.isogeny_class()
Elliptic curves in class 202800ew
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202800.bb1 | 202800ew1 | \([0, -1, 0, -11548, -547028]\) | \(-5513680/1053\) | \(-32528831212800\) | \([]\) | \(387072\) | \(1.3166\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800ew1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202800ew do not have complex multiplication.Modular form 202800.2.a.ew
sage: E.q_eigenform(10)