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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 139650.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.e1 | 139650in1 | \([1, 1, 0, -274897375, 2680193717125]\) | \(-1249761744922780803169/965040168960000000\) | \(-1774000169343360000000000000\) | \([]\) | \(80898048\) | \(3.9274\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.e do not have complex multiplication.Modular form 139650.2.a.e
sage: E.q_eigenform(10)