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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 272734bj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 272734.bj1 | 272734bj1 | \([1, 0, 1, 183675, -459133776]\) | \(3288008303/438867968\) | \(-91469906435383089152\) | \([]\) | \(9123840\) | \(2.5095\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272734bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 272734bj do not have complex multiplication.Modular form 272734.2.a.bj
sage: E.q_eigenform(10)