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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 63525cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63525.g1 | 63525cj1 | \([0, 1, 1, -5958, 162344]\) | \(28121600000/2250423\) | \(1872070633125\) | \([]\) | \(207360\) | \(1.0982\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63525cj1 has rank \(2\).
Complex multiplication
The elliptic curves in class 63525cj do not have complex multiplication.Modular form 63525.2.a.cj
sage: E.q_eigenform(10)