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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 392.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392.f1 | 392e1 | \([0, 0, 0, -343, -2401]\) | \(48384\) | \(92236816\) | \([]\) | \(168\) | \(0.31859\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 392.f do not have complex multiplication.Modular form 392.2.a.f
sage: E.q_eigenform(10)