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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 259504.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259504.j1 | 259504j1 | \([0, 1, 0, 131, 1098]\) | \(131072/331\) | \(-623069104\) | \([]\) | \(124416\) | \(0.37131\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259504.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 259504.j do not have complex multiplication.Modular form 259504.2.a.j
sage: E.q_eigenform(10)