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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 412224.bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 412224.bg1 | 412224bg1 | \([0, -1, 0, -1217, -30783]\) | \(-1522096994/2325201\) | \(-304768745472\) | \([]\) | \(414720\) | \(0.89511\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 412224.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 412224.bg do not have complex multiplication.Modular form 412224.2.a.bg
sage: E.q_eigenform(10)