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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 850.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
850.i1 | 850f1 | \([1, 1, 1, 1357, -2559]\) | \(11053587253415/6565418768\) | \(-164135469200\) | \([]\) | \(1344\) | \(0.84133\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 850.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 850.i do not have complex multiplication.Modular form 850.2.a.i
sage: E.q_eigenform(10)