Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 32064n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32064.a1 | 32064n1 | \([0, -1, 0, 36063, -850239]\) | \(19785968032823/12608077824\) | \(-3305131953094656\) | \([]\) | \(211968\) | \(1.6668\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32064n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32064n do not have complex multiplication.Modular form 32064.2.a.n
sage: E.q_eigenform(10)