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SageMath
E = EllipticCurve("fr1")
E.isogeny_class()
Elliptic curves in class 474320.fr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
474320.fr1 | 474320fr1 | \([0, 0, 0, 41503, 3195731]\) | \(48384/55\) | \(-8987173029437680\) | \([]\) | \(2419200\) | \(1.7476\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 474320.fr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 474320.fr do not have complex multiplication.Modular form 474320.2.a.fr
sage: E.q_eigenform(10)