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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 22218.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22218.x1 | 22218y1 | \([1, 1, 1, -1232157920, 16653707057153]\) | \(-2641801258666400088001/1244109469188096\) | \(-97427438329541708876414976\) | \([]\) | \(12718080\) | \(3.9425\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22218.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22218.x do not have complex multiplication.Modular form 22218.2.a.x
sage: E.q_eigenform(10)