Properties

Label 33800.u
Number of curves $1$
Conductor $33800$
CM no
Rank $1$

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

Elliptic curves in class 33800.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33800.u1 33800d1 \([0, 1, 0, -1408, 313]\) \(43264/25\) \(178506250000\) \([]\) \(27648\) \(0.84849\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33800.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 33800.u do not have complex multiplication.

Modular form 33800.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{7} - 2 q^{9} - 3 q^{11} + 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display