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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 36414.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.f1 | 36414bo1 | \([1, -1, 0, 4715559, -1685570387]\) | \(2280364702703/1560674304\) | \(-7936539448657906630656\) | \([]\) | \(3329280\) | \(2.8908\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36414.f do not have complex multiplication.Modular form 36414.2.a.f
sage: E.q_eigenform(10)