Show commands:
SageMath
E = EllipticCurve("cx1")
E.isogeny_class()
Elliptic curves in class 28224.cx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.cx1 | 28224w1 | \([0, 0, 0, -10290, 1234114]\) | \(-448000/2187\) | \(-588221108782272\) | \([]\) | \(75264\) | \(1.5185\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.cx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28224.cx do not have complex multiplication.Modular form 28224.2.a.cx
sage: E.q_eigenform(10)