Show commands:
SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 297825cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
297825.cd1 | 297825cd1 | \([1, 0, 1, 524, -64777]\) | \(2828663/323433\) | \(-1824364265625\) | \([]\) | \(552960\) | \(1.0321\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 297825cd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 297825cd do not have complex multiplication.Modular form 297825.2.a.cd
sage: E.q_eigenform(10)