Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 22218u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22218.bb1 | 22218u1 | \([1, 1, 1, -1429369, 632076023]\) | \(4124146838737/178564176\) | \(13983536558449893456\) | \([]\) | \(688896\) | \(2.4374\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22218u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22218u do not have complex multiplication.Modular form 22218.2.a.u
sage: E.q_eigenform(10)