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SageMath
E = EllipticCurve("hv1")
E.isogeny_class()
Elliptic curves in class 481650hv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
481650.hv1 | 481650hv1 | \([1, 0, 0, 6672, -999168]\) | \(272199695/3735552\) | \(-450769900339200\) | \([]\) | \(1658880\) | \(1.4926\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 481650hv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 481650hv do not have complex multiplication.Modular form 481650.2.a.hv
sage: E.q_eigenform(10)