Show commands:
SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 445280.br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
445280.br1 | 445280br1 | \([0, 0, 0, -107932, -13656544]\) | \(-2318695384896/1653125\) | \(-99137139200000\) | \([]\) | \(4792320\) | \(1.6212\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 445280.br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 445280.br do not have complex multiplication.Modular form 445280.2.a.br
sage: E.q_eigenform(10)