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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 39039x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39039.i1 | 39039x1 | \([1, 0, 0, 8193, 139554]\) | \(74559407/53361\) | \(-43528207003281\) | \([]\) | \(114816\) | \(1.3054\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39039x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39039x do not have complex multiplication.Modular form 39039.2.a.x
sage: E.q_eigenform(10)