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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 22218.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22218.a1 | 22218e1 | \([1, 1, 0, -2714574, 1728833076]\) | \(-14943832855786297/85501108224\) | \(-12657232566425051136\) | \([]\) | \(823680\) | \(2.5071\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22218.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22218.a do not have complex multiplication.Modular form 22218.2.a.a
sage: E.q_eigenform(10)