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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 54208bt
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 54208.d1 | 54208bt1 | \([0, 0, 0, -7216, -236192]\) | \(-1905527808/2401\) | \(-52358856704\) | \([]\) | \(159744\) | \(0.96546\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54208bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54208bt do not have complex multiplication.Modular form 54208.2.a.bt
sage: E.q_eigenform(10)