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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 39270d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39270.d1 | 39270d1 | \([1, 1, 0, -143, 266277]\) | \(-326940373369/30643839959040\) | \(-30643839959040\) | \([]\) | \(127296\) | \(1.2667\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39270d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39270d do not have complex multiplication.Modular form 39270.2.a.d
sage: E.q_eigenform(10)