Show commands:
SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 115920bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 115920.cv1 | 115920bo1 | \([0, 0, 0, -1812, -32884]\) | \(-3525581824/462875\) | \(-86383584000\) | \([]\) | \(103680\) | \(0.83151\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 115920bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 115920bo do not have complex multiplication.Modular form 115920.2.a.bo
sage: E.q_eigenform(10)