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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 140790bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
140790.v1 | 140790bo1 | \([1, 0, 1, -44047043, -123569228482]\) | \(-26179826922135068458656961/3121019874515657687040\) | \(-1126688174700152425021440\) | \([]\) | \(47416320\) | \(3.3506\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 140790bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 140790bo do not have complex multiplication.Modular form 140790.2.a.bo
sage: E.q_eigenform(10)