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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 21600v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21600.z1 | 21600v1 | \([0, 0, 0, 5400, 54000]\) | \(1536\) | \(-11337408000000\) | \([]\) | \(36864\) | \(1.1938\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21600v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21600v do not have complex multiplication.Modular form 21600.2.a.v
sage: E.q_eigenform(10)