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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 52800r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52800.k1 | 52800r1 | \([0, -1, 0, -5208, 165162]\) | \(-25000000/3993\) | \(-2495625000000\) | \([]\) | \(92160\) | \(1.1069\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52800r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52800r do not have complex multiplication.Modular form 52800.2.a.r
sage: E.q_eigenform(10)