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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 82800.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
82800.e1 | 82800ex1 | \([0, 0, 0, -119595, 9073690]\) | \(2534167381585/990074583\) | \(73908671591116800\) | \([]\) | \(983040\) | \(1.9355\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 82800.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 82800.e do not have complex multiplication.Modular form 82800.2.a.e
sage: E.q_eigenform(10)