Show commands:
SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 15600br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15600.j1 | 15600br1 | \([0, -1, 0, 792, -83088]\) | \(34295/1872\) | \(-2995200000000\) | \([]\) | \(23040\) | \(1.0737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15600br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15600br do not have complex multiplication.Modular form 15600.2.a.br
sage: E.q_eigenform(10)