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SageMath
sage: E = EllipticCurve("hv1")
sage: E.isogeny_class()
Elliptic curves in class 88200.hv
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 88200.hv1 | 88200hg1 | [0, 0, 0, 5145, 4453855] | [] | 516096 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200.hv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88200.hv do not have complex multiplication.Modular form 88200.2.a.hv
sage: E.q_eigenform(10)