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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 21600bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21600.cp1 | 21600bc1 | \([0, 0, 0, -5400, -162000]\) | \(-13824\) | \(-1259712000000\) | \([]\) | \(36864\) | \(1.0714\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21600bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21600bc do not have complex multiplication.Modular form 21600.2.a.bc
sage: E.q_eigenform(10)