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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 225400.bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 225400.bg1 | 225400o1 | \([0, -1, 0, -29808, 2036812]\) | \(-19450850/529\) | \(-79662490880000\) | \([]\) | \(525312\) | \(1.4489\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 225400.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 225400.bg do not have complex multiplication.Modular form 225400.2.a.bg
sage: E.q_eigenform(10)