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SageMath
E = EllipticCurve("eo1")
E.isogeny_class()
Elliptic curves in class 28224eo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.cj1 | 28224eo1 | \([0, 0, 0, -12348, -518616]\) | \(48384\) | \(4303400887296\) | \([]\) | \(37632\) | \(1.2145\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224eo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28224eo do not have complex multiplication.Modular form 28224.2.a.eo
sage: E.q_eigenform(10)