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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 56400.ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56400.ce1 | 56400da1 | \([0, 1, 0, -4933, -52237]\) | \(207474688/102789\) | \(6578496000000\) | \([]\) | \(120960\) | \(1.1526\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56400.ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 56400.ce do not have complex multiplication.Modular form 56400.2.a.ce
sage: E.q_eigenform(10)