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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 273600o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273600.o1 | 273600o1 | \([0, 0, 0, -1500, 90000]\) | \(-2160/19\) | \(-3283200000000\) | \([]\) | \(460800\) | \(1.0842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273600o1 has rank \(2\).
Complex multiplication
The elliptic curves in class 273600o do not have complex multiplication.Modular form 273600.2.a.o
sage: E.q_eigenform(10)