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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 10584.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 10584.d1 | 10584k1 | \([0, 0, 0, -147, -10290]\) | \(-54/7\) | \(-45538633728\) | \([]\) | \(11520\) | \(0.72459\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10584.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10584.d do not have complex multiplication.Modular form 10584.2.a.d
sage: E.q_eigenform(10)