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SageMath
E = EllipticCurve("ep1")
E.isogeny_class()
Elliptic curves in class 92400ep
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 92400.dk1 | 92400ep1 | \([0, -1, 0, -143533, -20888063]\) | \(-81756451446784/24958395\) | \(-99833580000000\) | \([]\) | \(414720\) | \(1.6634\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400ep1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92400ep do not have complex multiplication.Modular form 92400.2.a.ep
sage: E.q_eigenform(10)