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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 159120.bx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 159120.bx1 | 159120bz1 | \([0, 0, 0, 550437, -68863862]\) | \(6176736766011239/4260587175000\) | \(-12722045135155200000\) | \([]\) | \(2764800\) | \(2.3544\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159120.bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159120.bx do not have complex multiplication.Modular form 159120.2.a.bx
sage: E.q_eigenform(10)