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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 5776.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5776.o1 | 5776d1 | \([0, 1, 0, -424, 3223]\) | \(1462911232\) | \(5776\) | \([]\) | \(1008\) | \(0.036767\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5776.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5776.o do not have complex multiplication.Modular form 5776.2.a.o
sage: E.q_eigenform(10)