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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 66654x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66654.z1 | 66654x1 | \([1, -1, 0, -24318, 1410052]\) | \(4124146838737/178564176\) | \(68861667396816\) | \([]\) | \(239616\) | \(1.4189\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66654x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66654x do not have complex multiplication.Modular form 66654.2.a.x
sage: E.q_eigenform(10)