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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 227430.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227430.w1 | 227430ep1 | \([1, -1, 0, -33667830, 164897188456]\) | \(-17941516933339/39546534860\) | \(-9302900430761458327360260\) | \([]\) | \(54172800\) | \(3.4797\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227430.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227430.w do not have complex multiplication.Modular form 227430.2.a.w
sage: E.q_eigenform(10)