Show commands:
SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 459186.bj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 459186.bj1 | 459186bj1 | \([1, 0, 1, -84507062, -300728838328]\) | \(-112205650221491190337/745029571313664\) | \(-443160963851999953158144\) | \([]\) | \(118752480\) | \(3.3729\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 459186.bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 459186.bj do not have complex multiplication.Modular form 459186.2.a.bj
sage: E.q_eigenform(10)