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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 36100f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36100.d1 | 36100f1 | \([0, -1, 0, -158, -563]\) | \(4864\) | \(90250000\) | \([]\) | \(7560\) | \(0.24187\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36100f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36100f do not have complex multiplication.Modular form 36100.2.a.f
sage: E.q_eigenform(10)