Show commands:
SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 283024dd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283024.dd1 | 283024dd1 | \([0, 0, 0, -123823, -16468459]\) | \(48384\) | \(4339362269354896\) | \([]\) | \(2268000\) | \(1.7908\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283024dd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 283024dd do not have complex multiplication.Modular form 283024.2.a.dd
sage: E.q_eigenform(10)