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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 141120.bx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 141120.bx1 | 141120dj1 | \([0, 0, 0, 378672, -281281952]\) | \(12459008/78125\) | \(-37654757763840000000\) | \([]\) | \(3010560\) | \(2.4381\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120.bx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141120.bx do not have complex multiplication.Modular form 141120.2.a.bx
sage: E.q_eigenform(10)