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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 2072d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 2072.b1 | 2072d1 | \([0, 0, 0, -32828, 2294756]\) | \(-15283295882302464/41714923579\) | \(-10679020436224\) | \([]\) | \(4032\) | \(1.3735\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2072d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2072d do not have complex multiplication.Modular form 2072.2.a.d
sage: E.q_eigenform(10)