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SageMath
E = EllipticCurve("gz1")
E.isogeny_class()
Elliptic curves in class 259920gz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259920.gz1 | 259920gz1 | \([0, 0, 0, -2478987, -1604141766]\) | \(-11993263569/972800\) | \(-136657239588156211200\) | \([]\) | \(10644480\) | \(2.6099\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259920gz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259920gz do not have complex multiplication.Modular form 259920.2.a.gz
sage: E.q_eigenform(10)