Properties

Label 58800.u
Number of curves $1$
Conductor $58800$
CM no
Rank $2$

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

Elliptic curves in class 58800.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.u1 58800bb1 \([0, -1, 0, -408, 18747]\) \(-160000/3087\) \(-145272985200\) \([]\) \(55296\) \(0.82282\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.u1 has rank \(2\).

Complex multiplication

The elliptic curves in class 58800.u do not have complex multiplication.

Modular form 58800.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 3q^{11} - 2q^{17} - 8q^{19} + O(q^{20})\)  Toggle raw display