Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 29760x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 29760.cg1 | 29760x1 | \([0, 1, 0, 6239, 106175]\) | \(102437538839/77137920\) | \(-20221242900480\) | \([]\) | \(84480\) | \(1.2413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29760x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29760x do not have complex multiplication.Modular form 29760.2.a.x
sage: E.q_eigenform(10)