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SageMath
E = EllipticCurve("gz1")
E.isogeny_class()
Elliptic curves in class 92400.gz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92400.gz1 | 92400da1 | \([0, 1, 0, -1246833, 535455963]\) | \(2143625552081920/693\) | \(69300000000\) | \([]\) | \(698880\) | \(1.8784\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400.gz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92400.gz do not have complex multiplication.Modular form 92400.2.a.gz
sage: E.q_eigenform(10)