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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 169065e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169065.i1 | 169065e1 | \([0, 0, 1, -867, 89662]\) | \(-4096/195\) | \(-3431276121195\) | \([]\) | \(459264\) | \(1.0853\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169065e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 169065e do not have complex multiplication.Modular form 169065.2.a.e
sage: E.q_eigenform(10)