Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 28224.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.a1 | 28224ez1 | \([0, 0, 0, 2058, -24010]\) | \(3584/3\) | \(-806887666368\) | \([]\) | \(53760\) | \(0.97239\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28224.a do not have complex multiplication.Modular form 28224.2.a.a
sage: E.q_eigenform(10)