Show commands:
SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 200376.br
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 200376.br1 | 200376bu1 | \([0, 0, 0, -4719, 129107]\) | \(-562432/23\) | \(-475260212592\) | \([]\) | \(336000\) | \(1.0081\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200376.br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200376.br do not have complex multiplication.Modular form 200376.2.a.br
sage: E.q_eigenform(10)