Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 28224.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.t1 | 28224gf1 | \([0, 0, 0, -2604, -51856]\) | \(-1668296/27\) | \(-31603654656\) | \([]\) | \(27648\) | \(0.81511\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28224.t do not have complex multiplication.Modular form 28224.2.a.t
sage: E.q_eigenform(10)