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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 260100.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
260100.z1 | 260100z1 | \([0, 0, 0, -2947800, -41885781500]\) | \(-8192/2187\) | \(-756269516081306124000000\) | \([]\) | \(25589760\) | \(3.2611\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 260100.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 260100.z do not have complex multiplication.Modular form 260100.2.a.z
sage: E.q_eigenform(10)