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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 227850.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.o1 | 227850hh1 | \([1, 1, 0, 27170, -3227300]\) | \(150823633267/395392104\) | \(-5814685705437000\) | \([]\) | \(1415232\) | \(1.7086\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 227850.o do not have complex multiplication.Modular form 227850.2.a.o
sage: E.q_eigenform(10)