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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 22218p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22218.p1 | 22218p1 | \([1, 0, 1, -494707, -133873522]\) | \(25311095642246736793/20804234379264\) | \(11005439986630656\) | \([]\) | \(354816\) | \(2.0068\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22218p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22218p do not have complex multiplication.Modular form 22218.2.a.p
sage: E.q_eigenform(10)