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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 96600.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96600.p1 | 96600f1 | \([0, -1, 0, 4167, -1212963]\) | \(3200000/255507\) | \(-638767500000000\) | \([]\) | \(322560\) | \(1.5204\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96600.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96600.p do not have complex multiplication.Modular form 96600.2.a.p
sage: E.q_eigenform(10)