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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 38808.bx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38808.bx1 | 38808bs1 | \([0, 0, 0, -2102247, -1396308753]\) | \(-80850237696/19487171\) | \(-247652337433790597616\) | \([]\) | \(1354752\) | \(2.6319\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808.bx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38808.bx do not have complex multiplication.Modular form 38808.2.a.bx
sage: E.q_eigenform(10)