Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 24882.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24882.d1 | 24882e1 | \([1, 1, 0, -58663, 5444461]\) | \(-22326882463851405049/251109144\) | \(-251109144\) | \([]\) | \(57024\) | \(1.1801\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24882.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 24882.d do not have complex multiplication.Modular form 24882.2.a.d
sage: E.q_eigenform(10)