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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 247744bx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 247744.bx1 | 247744bx1 | \([0, 1, 0, -11041, 416863]\) | \(4826809/316\) | \(9745749508096\) | \([]\) | \(506880\) | \(1.2421\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 247744bx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 247744bx do not have complex multiplication.Modular form 247744.2.a.bx
sage: E.q_eigenform(10)