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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 106722cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106722.bi1 | 106722cz1 | \([1, -1, 0, -2678055, 3064162877]\) | \(-115538049/153664\) | \(-2825071108503981632064\) | \([]\) | \(4866048\) | \(2.8089\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106722cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106722cz do not have complex multiplication.Modular form 106722.2.a.cz
sage: E.q_eigenform(10)