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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 233450.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 233450.x1 | 233450x1 | \([1, 0, 1, -7276, 72448]\) | \(2725812332209/1429881250\) | \(22341894531250\) | \([]\) | \(645120\) | \(1.2532\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 233450.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 233450.x do not have complex multiplication.Modular form 233450.2.a.x
sage: E.q_eigenform(10)