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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 201810.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
201810.o1 | 201810cf1 | \([1, 1, 0, -242672, 47645136]\) | \(-1853070601/82320\) | \(-70209990202143120\) | \([]\) | \(2232000\) | \(1.9973\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 201810.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 201810.o do not have complex multiplication.Modular form 201810.2.a.o
sage: E.q_eigenform(10)