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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 66924.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66924.i1 | 66924a1 | \([0, 0, 0, -256258080, 1578935820852]\) | \(-452770725888000/14641\) | \(-60179533503515382528\) | \([]\) | \(5301504\) | \(3.2970\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66924.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66924.i do not have complex multiplication.Modular form 66924.2.a.i
sage: E.q_eigenform(10)