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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 32064c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32064.j1 | 32064c1 | \([0, -1, 0, -1729, 43201]\) | \(-2181825073/1731456\) | \(-453890801664\) | \([]\) | \(43008\) | \(0.93522\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32064c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32064c do not have complex multiplication.Modular form 32064.2.a.c
sage: E.q_eigenform(10)