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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 22848.cy
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 22848.cy1 | 22848y1 | \([0, 1, 0, -9841909, 11881474259]\) | \(-6434900743458429657088/395758108932291\) | \(-6484100856746655744\) | \([]\) | \(967680\) | \(2.6696\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22848.cy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22848.cy do not have complex multiplication.Modular form 22848.2.a.cy
sage: E.q_eigenform(10)