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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 106032z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106032.t1 | 106032z1 | \([0, -1, 0, -435909, 42166701]\) | \(207474688/102789\) | \(4538305595197771776\) | \([]\) | \(2472960\) | \(2.2730\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106032z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106032z do not have complex multiplication.Modular form 106032.2.a.z
sage: E.q_eigenform(10)