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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 58835j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58835.b1 | 58835j1 | \([0, 1, 1, -303140, -706804856]\) | \(-648562364416/45045546875\) | \(-213971043249101796875\) | \([]\) | \(1975680\) | \(2.5808\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58835j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58835j do not have complex multiplication.Modular form 58835.2.a.j
sage: E.q_eigenform(10)