Show commands:
SageMath
E = EllipticCurve("dw1")
E.isogeny_class()
Elliptic curves in class 424830.dw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424830.dw1 | 424830dw1 | \([1, 0, 1, -2401316468, 45296221160306]\) | \(-2239996279676393/248832000\) | \(-170110390979912754760704000\) | \([]\) | \(320785920\) | \(4.0620\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830.dw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 424830.dw do not have complex multiplication.Modular form 424830.2.a.dw
sage: E.q_eigenform(10)