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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 466578.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.f1 | 466578f1 | \([1, -1, 0, -1091786271, -13885004340019]\) | \(-1008050316336685251/23552\) | \(-3362653987217150976\) | \([]\) | \(106444800\) | \(3.5284\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 466578.f do not have complex multiplication.Modular form 466578.2.a.f
sage: E.q_eigenform(10)