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SageMath
E = EllipticCurve("ji1")
E.isogeny_class()
Elliptic curves in class 78400.ji
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 78400.ji1 | 78400kt1 | \([0, -1, 0, 1167, -9463]\) | \(1280\) | \(-137200000000\) | \([]\) | \(61440\) | \(0.82506\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.ji1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400.ji do not have complex multiplication.Modular form 78400.2.a.ji
sage: E.q_eigenform(10)