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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 272734.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272734.z1 | 272734z1 | \([1, -1, 0, -21863, -750667]\) | \(5545233/2024\) | \(421846897300136\) | \([]\) | \(950400\) | \(1.5067\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272734.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 272734.z do not have complex multiplication.Modular form 272734.2.a.z
sage: E.q_eigenform(10)