Show commands:
SageMath
E = EllipticCurve("ft1")
E.isogeny_class()
Elliptic curves in class 92736ft
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 92736.f1 | 92736ft1 | \([0, 0, 0, 1908, -1080]\) | \(1029037824/596183\) | \(-445048224768\) | \([]\) | \(150528\) | \(0.92458\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736ft1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92736ft do not have complex multiplication.Modular form 92736.2.a.ft
sage: E.q_eigenform(10)