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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 22218.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22218.t1 | 22218s1 | \([1, 1, 1, -2329221, -1369773045]\) | \(-2641801258666400088001/1244109469188096\) | \(-658133909200502784\) | \([]\) | \(552960\) | \(2.3747\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22218.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22218.t do not have complex multiplication.Modular form 22218.2.a.t
sage: E.q_eigenform(10)