Show commands:
SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 284592cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.cf1 | 284592cf1 | \([0, -1, 0, 235184, -99264416]\) | \(68782/243\) | \(-5082491452865992704\) | \([]\) | \(4536000\) | \(2.2723\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592cf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 284592cf do not have complex multiplication.Modular form 284592.2.a.cf
sage: E.q_eigenform(10)