Show commands:
SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 38808.bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38808.bo1 | 38808p1 | \([0, 0, 0, -147, -16562]\) | \(-98/33\) | \(-118294235136\) | \([]\) | \(35328\) | \(0.80387\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808.bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38808.bo do not have complex multiplication.Modular form 38808.2.a.bo
sage: E.q_eigenform(10)