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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 1850.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1850.n1 | 1850p1 | \([1, 1, 1, -13, -1469]\) | \(-625/2368\) | \(-925000000\) | \([]\) | \(1080\) | \(0.39938\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1850.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1850.n do not have complex multiplication.Modular form 1850.2.a.n
sage: E.q_eigenform(10)