Properties

Label 2160.u
Number of curves $1$
Conductor $2160$
CM no
Rank $1$

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

Elliptic curves in class 2160.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2160.u1 2160j1 \([0, 0, 0, 33, -151]\) \(1022208/3125\) \(-12150000\) \([]\) \(480\) \(0.042708\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2160.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2160.u do not have complex multiplication.

Modular form 2160.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{5} + 2 q^{7} - 6 q^{13} - 7 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display