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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 5239.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5239.d1 | 5239a1 | \([1, -1, 0, -116, 573]\) | \(-6073353/961\) | \(-27447121\) | \([]\) | \(936\) | \(0.15562\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5239.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5239.d do not have complex multiplication.Modular form 5239.2.a.d
sage: E.q_eigenform(10)