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SageMath
E = EllipticCurve("eo1")
E.isogeny_class()
Elliptic curves in class 227136eo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 227136.ew1 | 227136eo1 | \([0, 1, 0, -7841825, 5917848639]\) | \(249395415529/73513818\) | \(15720115014363454636032\) | \([]\) | \(25159680\) | \(2.9649\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227136eo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227136eo do not have complex multiplication.Modular form 227136.2.a.eo
sage: E.q_eigenform(10)