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SageMath
E = EllipticCurve("gz1")
E.isogeny_class()
Elliptic curves in class 159936.gz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.gz1 | 159936fz1 | \([0, 1, 0, -30304801, -64221970177]\) | \(-798398773180392392/69429717\) | \(-267660059454111744\) | \([]\) | \(8294400\) | \(2.7842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.gz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936.gz do not have complex multiplication.Modular form 159936.2.a.gz
sage: E.q_eigenform(10)