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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 66924d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 66924.j1 | 66924d1 | \([0, 0, 0, -28473120, -58479104476]\) | \(-452770725888000/14641\) | \(-82550800416344832\) | \([]\) | \(1767168\) | \(2.7477\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66924d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66924d do not have complex multiplication.Modular form 66924.2.a.d
sage: E.q_eigenform(10)