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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 202160.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202160.o1 | 202160c1 | \([0, 1, 0, -404440, 397504788]\) | \(-37966934881/332500000\) | \(-64072726251520000000\) | \([]\) | \(4838400\) | \(2.4831\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202160.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 202160.o do not have complex multiplication.Modular form 202160.2.a.o
sage: E.q_eigenform(10)