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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 52983.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52983.j1 | 52983j1 | \([1, -1, 0, -132615, -13604108]\) | \(707281/189\) | \(68924451024179541\) | \([]\) | \(334080\) | \(1.9393\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52983.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 52983.j do not have complex multiplication.Modular form 52983.2.a.j
sage: E.q_eigenform(10)