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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 284400.bj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 284400.bj1 | 284400bj1 | \([0, 0, 0, -12675, 517250]\) | \(4826809/316\) | \(14743296000000\) | \([]\) | \(806400\) | \(1.2766\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284400.bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 284400.bj do not have complex multiplication.Modular form 284400.2.a.bj
sage: E.q_eigenform(10)