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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 416240.cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
416240.cj1 | 416240cj1 | \([0, -1, 0, -40, -42480]\) | \(-2/215\) | \(-780053739520\) | \([]\) | \(627200\) | \(0.96077\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 416240.cj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 416240.cj do not have complex multiplication.Modular form 416240.2.a.cj
sage: E.q_eigenform(10)