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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 4680.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4680.n1 | 4680d1 | \([0, 0, 0, 1668, 680756]\) | \(74251994112/29007265625\) | \(-200498220000000\) | \([]\) | \(13440\) | \(1.4234\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4680.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4680.n do not have complex multiplication.Modular form 4680.2.a.n
sage: E.q_eigenform(10)