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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 24336.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24336.n1 | 24336bu1 | \([0, 0, 0, -105456, -30731636]\) | \(-851968/2187\) | \(-332937792076002048\) | \([]\) | \(209664\) | \(2.0499\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24336.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 24336.n do not have complex multiplication.Modular form 24336.2.a.n
sage: E.q_eigenform(10)