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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 94640.de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 94640.de1 | 94640n1 | \([0, 0, 0, -69628, -7285252]\) | \(-30211716096/1071875\) | \(-1324476389600000\) | \([]\) | \(984960\) | \(1.6739\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94640.de1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94640.de do not have complex multiplication.Modular form 94640.2.a.de
sage: E.q_eigenform(10)