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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 2576o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2576.g1 | 2576o1 | \([0, -1, 0, 6, 43]\) | \(1257728/55223\) | \(-883568\) | \([]\) | \(192\) | \(-0.17923\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2576o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2576o do not have complex multiplication.Modular form 2576.2.a.o
sage: E.q_eigenform(10)