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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 388815d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 388815.d1 | 388815d1 | \([0, -1, 1, -4570736, 1207563146]\) | \(2166784/1125\) | \(5483011069996415101125\) | \([]\) | \(38154240\) | \(2.8633\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388815d do not have complex multiplication.Modular form 388815.2.a.d
sage: E.q_eigenform(10)