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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 4598.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4598.o1 | 4598r1 | \([1, -1, 1, 582, 34169]\) | \(101871/2432\) | \(-521320798592\) | \([]\) | \(9240\) | \(0.92851\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4598.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4598.o do not have complex multiplication.Modular form 4598.2.a.o
sage: E.q_eigenform(10)