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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 58443.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58443.g1 | 58443i1 | \([1, 1, 1, 2632413, 559632162]\) | \(9411184794706607/6074987633001\) | \(-1302227551098933031881\) | \([]\) | \(2720256\) | \(2.7404\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58443.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58443.g do not have complex multiplication.Modular form 58443.2.a.g
sage: E.q_eigenform(10)