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SageMath
E = EllipticCurve("ey1")
E.isogeny_class()
Elliptic curves in class 58800.ey
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.ey1 | 58800gf1 | \([0, -1, 0, -6082533, 9517279437]\) | \(-1376628736/1366875\) | \(-24710934782520000000000\) | \([]\) | \(4515840\) | \(2.9926\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.ey1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.ey do not have complex multiplication.Modular form 58800.2.a.ey
sage: E.q_eigenform(10)