Show commands:
SageMath
E = EllipticCurve("eq1")
E.isogeny_class()
Elliptic curves in class 257600.eq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 257600.eq1 | 257600eq1 | \([0, 1, 0, -18033, -1842937]\) | \(-40535147776/67648175\) | \(-1082370800000000\) | \([]\) | \(737280\) | \(1.5756\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600.eq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 257600.eq do not have complex multiplication.Modular form 257600.2.a.eq
sage: E.q_eigenform(10)