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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 22386j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22386.g1 | 22386j1 | \([1, 0, 1, -90353, 11069732]\) | \(-81572642966348157961/5802482652509088\) | \(-5802482652509088\) | \([]\) | \(252000\) | \(1.7749\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22386j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22386j do not have complex multiplication.Modular form 22386.2.a.j
sage: E.q_eigenform(10)