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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 33800x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33800.ba1 | 33800x1 | \([0, 0, 0, -4339075, 3452310875]\) | \(44302512384/390625\) | \(79661203222656250000\) | \([]\) | \(2396160\) | \(2.6422\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33800x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33800x do not have complex multiplication.Modular form 33800.2.a.x
sage: E.q_eigenform(10)