Show commands:
SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 133200bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133200.bi1 | 133200bx1 | \([0, 0, 0, -1200, -2500]\) | \(65536/37\) | \(107892000000\) | \([]\) | \(115200\) | \(0.80706\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133200bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 133200bx do not have complex multiplication.Modular form 133200.2.a.bx
sage: E.q_eigenform(10)