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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 273273.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273273.bd1 | 273273bd1 | \([0, 1, 1, -48029960099, 4051489624129406]\) | \(127680722384510660804608/1761798128013\) | \(169079596499133991239646077\) | \([]\) | \(390094848\) | \(4.5881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273273.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 273273.bd do not have complex multiplication.Modular form 273273.2.a.bd
sage: E.q_eigenform(10)