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SageMath
E = EllipticCurve("gz1")
E.isogeny_class()
Elliptic curves in class 487872gz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 487872.gz1 | 487872gz1 | \([0, 0, 0, -702768, -190684384]\) | \(123904/21\) | \(6505693728222560256\) | \([]\) | \(7569408\) | \(2.3307\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872gz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 487872gz do not have complex multiplication.Modular form 487872.2.a.gz
sage: E.q_eigenform(10)