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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 8640.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 8640.h1 | 8640s1 | \([0, 0, 0, 132, 1208]\) | \(1022208/3125\) | \(-777600000\) | \([]\) | \(3840\) | \(0.38928\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8640.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8640.h do not have complex multiplication.Modular form 8640.2.a.h
sage: E.q_eigenform(10)