Show commands:
SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 48960bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 48960.s1 | 48960bo1 | \([0, 0, 0, 2292, 33968]\) | \(55742968/53125\) | \(-1269043200000\) | \([]\) | \(57600\) | \(1.0096\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48960bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 48960bo do not have complex multiplication.Modular form 48960.2.a.bo
sage: E.q_eigenform(10)