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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 44880.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 44880.d1 | 44880bg1 | \([0, -1, 0, -1186515736, -15731972002064]\) | \(-45100802713464654722769650329/4293192974400000000000\) | \(-17584918423142400000000000\) | \([]\) | \(16156800\) | \(3.8809\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44880.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44880.d do not have complex multiplication.Modular form 44880.2.a.d
sage: E.q_eigenform(10)