Properties

Label 2850.u
Number of curves $1$
Conductor $2850$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 2850.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2850.u1 2850t1 \([1, 1, 1, 987, -56469]\) \(272199695/3735552\) \(-1459200000000\) \([]\) \(3840\) \(1.0148\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2850.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2850.u do not have complex multiplication.

Modular form 2850.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{8} + q^{9} + q^{11} - q^{12} - 4 q^{13} + q^{16} - 4 q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display