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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 134064cc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 134064.eg1 | 134064cc1 | \([0, 0, 0, 460844853, 3052364317562]\) | \(628805222251722551/597713542447104\) | \(-10288803955662810850982363136\) | \([]\) | \(75866112\) | \(4.0622\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134064cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134064cc do not have complex multiplication.Modular form 134064.2.a.cc
sage: E.q_eigenform(10)