Show commands:
SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 286650.cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286650.cz1 | 286650cz1 | \([1, -1, 0, -8682, 311156]\) | \(3001814235/26624\) | \(641949235200\) | \([]\) | \(494208\) | \(1.0889\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286650.cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 286650.cz do not have complex multiplication.Modular form 286650.2.a.cz
sage: E.q_eigenform(10)