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SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 20286ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20286.cq1 | 20286ct1 | \([1, -1, 1, -2263001, -1316208967]\) | \(-14943832855786297/85501108224\) | \(-7333098393573679104\) | \([]\) | \(599040\) | \(2.4617\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20286ct1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20286ct do not have complex multiplication.Modular form 20286.2.a.ct
sage: E.q_eigenform(10)