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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 33800r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33800.q1 | 33800r1 | \([0, 1, 0, -1408, 19813]\) | \(7311616/25\) | \(1056250000\) | \([]\) | \(18432\) | \(0.59500\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33800r1 has rank \(2\).
Complex multiplication
The elliptic curves in class 33800r do not have complex multiplication.Modular form 33800.2.a.r
sage: E.q_eigenform(10)