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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 338100w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.w1 | 338100w1 | \([0, -1, 0, -32328893, -70742683143]\) | \(-20256384340484096/718449183\) | \(-132534930195442656000\) | \([]\) | \(18748800\) | \(2.9506\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338100w do not have complex multiplication.Modular form 338100.2.a.w
sage: E.q_eigenform(10)