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SageMath
E = EllipticCurve("jd1")
E.isogeny_class()
Elliptic curves in class 458640.jd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 458640.jd1 | 458640jd1 | \([0, 0, 0, 259308, -52639524]\) | \(1354752/1625\) | \(-2312943495643872000\) | \([]\) | \(5515776\) | \(2.2100\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 458640.jd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 458640.jd do not have complex multiplication.Modular form 458640.2.a.jd
sage: E.q_eigenform(10)