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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 22386q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22386.r1 | 22386q1 | \([1, 1, 1, -165, -657]\) | \(496981290961/138211164\) | \(138211164\) | \([]\) | \(9984\) | \(0.26930\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22386q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22386q do not have complex multiplication.Modular form 22386.2.a.q
sage: E.q_eigenform(10)