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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 229320.bx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 229320.bx1 | 229320ee1 | \([0, 0, 0, -1118523, 455320838]\) | \(-35962234084/195\) | \(-839163173022720\) | \([]\) | \(2429952\) | \(2.0577\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320.bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 229320.bx do not have complex multiplication.Modular form 229320.2.a.bx
sage: E.q_eigenform(10)