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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 225400.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 225400.x1 | 225400bu1 | \([0, -1, 0, -4254833, -8408909963]\) | \(-144814859264/435654247\) | \(-25627143252651500000000\) | \([]\) | \(12472320\) | \(2.9866\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 225400.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 225400.x do not have complex multiplication.Modular form 225400.2.a.x
sage: E.q_eigenform(10)