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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 39984.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 39984.d1 | 39984cn1 | \([0, -1, 0, -1727952, -895339584]\) | \(-1184052061112257/34349180544\) | \(-16552537054499045376\) | \([]\) | \(967680\) | \(2.4670\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39984.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 39984.d do not have complex multiplication.Modular form 39984.2.a.d
sage: E.q_eigenform(10)