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SageMath
E = EllipticCurve("hi1")
E.isogeny_class()
Elliptic curves in class 487872hi
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 487872.hi1 | 487872hi1 | \([0, 0, 0, -1188, -11286]\) | \(1216512/343\) | \(52281827136\) | \([]\) | \(276480\) | \(0.76358\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872hi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 487872hi do not have complex multiplication.Modular form 487872.2.a.hi
sage: E.q_eigenform(10)