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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 102850o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102850.bj1 | 102850o1 | \([1, 0, 1, -887901, -326040552]\) | \(-2796665386969/39823520\) | \(-1102340545542500000\) | \([]\) | \(1843200\) | \(2.2672\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102850o do not have complex multiplication.Modular form 102850.2.a.o
sage: E.q_eigenform(10)