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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 95550.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95550.f1 | 95550y1 | \([1, 1, 0, -5800, 328000]\) | \(-4027268071/6469632\) | \(-34673184000000\) | \([]\) | \(380160\) | \(1.2892\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95550.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 95550.f do not have complex multiplication.Modular form 95550.2.a.f
sage: E.q_eigenform(10)