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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 4900n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4900.u1 | 4900n1 | \([0, 0, 0, 39200, -9089500]\) | \(14155776/84035\) | \(-39546534860000000\) | \([]\) | \(69120\) | \(1.8666\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4900n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4900n do not have complex multiplication.Modular form 4900.2.a.n
sage: E.q_eigenform(10)