Show commands:
SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 36800br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36800.dd1 | 36800br1 | \([0, -1, 0, -73, 267]\) | \(-5451776/23\) | \(-184000\) | \([]\) | \(4480\) | \(-0.13514\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36800br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36800br do not have complex multiplication.Modular form 36800.2.a.br
sage: E.q_eigenform(10)