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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 66654.cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66654.cb1 | 66654bs1 | \([1, -1, 1, -24431171, -46702924221]\) | \(-14943832855786297/85501108224\) | \(-9227122540923862278144\) | \([]\) | \(6589440\) | \(3.0565\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66654.cb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66654.cb do not have complex multiplication.Modular form 66654.2.a.cb
sage: E.q_eigenform(10)