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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 161700cz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 161700.bc1 | 161700cz1 | \([0, -1, 0, -2300958, -1343403963]\) | \(-152622848/99\) | \(-873907801593750000\) | \([]\) | \(3064320\) | \(2.3828\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161700cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 161700cz do not have complex multiplication.Modular form 161700.2.a.cz
sage: E.q_eigenform(10)