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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 58800bj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 58800.eu1 | 58800bj1 | \([0, -1, 0, -377708, -89236713]\) | \(-324179200/63\) | \(-1158107343750000\) | \([]\) | \(645120\) | \(1.8904\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800bj do not have complex multiplication.Modular form 58800.2.a.bj
sage: E.q_eigenform(10)