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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 508032.bg
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 508032.bg1 | \([0, 0, 0, 137592, 15706656]\) | \(2530944/2401\) | \(-273283169946845184\) | \([]\) | \(6193152\) | \(2.0329\) |
Rank
sage: E.rank()
The elliptic curve 508032.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 508032.bg do not have complex multiplication.Modular form 508032.2.a.bg
sage: E.q_eigenform(10)