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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 206310bx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 206310.w1 | 206310bx1 | \([1, 0, 1, -380169829, 2851111017296]\) | \(146682496417970041/115486974720\) | \(4784222453268478581953280\) | \([]\) | \(83020800\) | \(3.6664\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206310bx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206310bx do not have complex multiplication.Modular form 206310.2.a.bx
sage: E.q_eigenform(10)