Show commands:
SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 14784cj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 14784.br1 | 14784cj1 | \([0, 1, 0, -6641, -217977]\) | \(-31636584484096/1331669031\) | \(-1363629087744\) | \([]\) | \(23040\) | \(1.0950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14784cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14784cj do not have complex multiplication.Modular form 14784.2.a.cj
sage: E.q_eigenform(10)