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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 121968bx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 121968.eh1 | 121968bx1 | \([0, 0, 0, -1452, -17908]\) | \(123904/21\) | \(57379601664\) | \([]\) | \(86016\) | \(0.78516\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121968bx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121968bx do not have complex multiplication.Modular form 121968.2.a.bx
sage: E.q_eigenform(10)