Show commands:
SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 11200bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11200.d1 | 11200bs1 | \([0, 0, 0, -4000, 100000]\) | \(-221184/7\) | \(-224000000000\) | \([]\) | \(23040\) | \(0.95411\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11200bs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11200bs do not have complex multiplication.Modular form 11200.2.a.bs
sage: E.q_eigenform(10)