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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 99944.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 99944.d1 | 99944f1 | \([0, -1, 0, -15696, 797452]\) | \(-235298/13\) | \(-23628898002944\) | \([]\) | \(241920\) | \(1.3240\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 99944.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 99944.d do not have complex multiplication.Modular form 99944.2.a.d
sage: E.q_eigenform(10)