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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 286650.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286650.o1 | 286650o1 | \([1, -1, 0, -33777, 2136861]\) | \(4772330903305/570306048\) | \(509297558515200\) | \([]\) | \(1762560\) | \(1.5529\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286650.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 286650.o do not have complex multiplication.Modular form 286650.2.a.o
sage: E.q_eigenform(10)