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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 44688.de
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44688.de1 | 44688cq1 | \([0, 1, 0, 1045000, 329941716]\) | \(628805222251722551/597713542447104\) | \(-119963498823303561216\) | \([]\) | \(1354752\) | \(2.5399\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44688.de1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44688.de do not have complex multiplication.Modular form 44688.2.a.de
sage: E.q_eigenform(10)