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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 476850.bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 476850.bg1 | 476850bg1 | \([1, 1, 0, -479675125, -4044230121875]\) | \(-6587262758732993/798600000\) | \(-1479754346414128125000000\) | \([]\) | \(159805440\) | \(3.6621\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 476850.bg do not have complex multiplication.Modular form 476850.2.a.bg
sage: E.q_eigenform(10)