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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 32064.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32064.w1 | 32064x1 | \([0, 1, 0, -1729, -43201]\) | \(-2181825073/1731456\) | \(-453890801664\) | \([]\) | \(43008\) | \(0.93522\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32064.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32064.w do not have complex multiplication.Modular form 32064.2.a.w
sage: E.q_eigenform(10)