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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 22218j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22218.b1 | 22218j1 | \([1, 1, 0, -5766904, 5328017884]\) | \(270850291507273/551124\) | \(43159063452005844\) | \([]\) | \(874368\) | \(2.4426\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22218j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22218j do not have complex multiplication.Modular form 22218.2.a.j
sage: E.q_eigenform(10)