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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 160080.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160080.e1 | 160080br1 | \([0, -1, 0, -506661, 138978765]\) | \(3511697101967355904/41026753125\) | \(168045580800000\) | \([]\) | \(1555200\) | \(1.8803\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160080.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160080.e do not have complex multiplication.Modular form 160080.2.a.e
sage: E.q_eigenform(10)