Show commands:
SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 51600.br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51600.br1 | 51600r1 | \([0, -1, 0, -19888, -1072928]\) | \(-3398434606474/387\) | \(-99072000\) | \([]\) | \(59904\) | \(0.95785\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51600.br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51600.br do not have complex multiplication.Modular form 51600.2.a.br
sage: E.q_eigenform(10)