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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 166175b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166175.b1 | 166175b1 | \([0, -1, 1, -5298, 150748]\) | \(-5451776/23\) | \(-69395510875\) | \([]\) | \(267904\) | \(0.93490\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166175b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 166175b do not have complex multiplication.Modular form 166175.2.a.b
sage: E.q_eigenform(10)