Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 22218a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 22218.f1 | 22218a1 | \([1, 1, 0, -1982967, -2799063603]\) | \(-478762350767/1600967592\) | \(-2883587039246810307096\) | \([]\) | \(1391040\) | \(2.8040\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22218a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22218a do not have complex multiplication.Modular form 22218.2.a.a
sage: E.q_eigenform(10)