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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 4864.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4864.p1 | 4864g1 | \([0, 0, 0, -88, 320]\) | \(-2299968/19\) | \(-622592\) | \([]\) | \(1920\) | \(-0.061536\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4864.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4864.p do not have complex multiplication.Modular form 4864.2.a.p
sage: E.q_eigenform(10)