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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 270480.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270480.d1 | 270480d1 | \([0, -1, 0, -39216, 2988000]\) | \(564950498/3105\) | \(36658600151040\) | \([]\) | \(822528\) | \(1.4458\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270480.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 270480.d do not have complex multiplication.Modular form 270480.2.a.d
sage: E.q_eigenform(10)