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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 7440.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7440.n1 | 7440e1 | \([0, -1, 0, -1639440, 808509600]\) | \(-237947203935023980322/588515625\) | \(-1205280000000\) | \([]\) | \(73920\) | \(1.9835\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7440.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7440.n do not have complex multiplication.Modular form 7440.2.a.n
sage: E.q_eigenform(10)