Properties

Label 4800.x
Number of curves $1$
Conductor $4800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 4800.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4800.x1 4800bj1 \([0, -1, 0, -3, -3]\) \(-2560/3\) \(-4800\) \([]\) \(192\) \(-0.59960\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4800.x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4800.x do not have complex multiplication.

Modular form 4800.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} + q^{13} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display