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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 202800bj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 202800.ke1 | 202800bj1 | \([0, 1, 0, 133792, -32198412]\) | \(34295/78\) | \(-602385763200000000\) | \([]\) | \(3386880\) | \(2.0957\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202800bj do not have complex multiplication.Modular form 202800.2.a.bj
sage: E.q_eigenform(10)