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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 224400.bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 224400.bg1 | 224400eu1 | \([0, -1, 0, -3364688, -2374435008]\) | \(-41139431161398468985/90882\) | \(-9306316800\) | \([]\) | \(2096640\) | \(2.0466\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 224400.bg do not have complex multiplication.Modular form 224400.2.a.bg
sage: E.q_eigenform(10)