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SageMath
E = EllipticCurve("dv1")
E.isogeny_class()
Elliptic curves in class 333270.dv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333270.dv1 | 333270dv1 | \([1, -1, 1, -4543970708, -138497364462473]\) | \(-343577244923154729/75560399667200\) | \(-2281918529464253445451559731200\) | \([]\) | \(761177088\) | \(4.5458\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333270.dv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333270.dv do not have complex multiplication.Modular form 333270.2.a.dv
sage: E.q_eigenform(10)