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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 79350.de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 79350.de1 | 79350dg1 | \([1, 0, 0, -9798078763, 385391306820017]\) | \(-257139080970025/9795520512\) | \(-3962834378260710877620000000000\) | \([]\) | \(193818240\) | \(4.6411\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.de1 has rank \(0\).
Complex multiplication
The elliptic curves in class 79350.de do not have complex multiplication.Modular form 79350.2.a.de
sage: E.q_eigenform(10)