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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 366300z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
366300.z1 | 366300z1 | \([0, 0, 0, 1321800, 481218500]\) | \(87585746345984/84993046875\) | \(-247839724687500000000\) | \([]\) | \(7741440\) | \(2.6003\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 366300z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 366300z do not have complex multiplication.Modular form 366300.2.a.z
sage: E.q_eigenform(10)