Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 4800.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4800.j1 4800bm1 \([0, -1, 0, -43, -803]\) \(-5624320/177147\) \(-283435200\) \([]\) \(2112\) \(0.30225\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4800.j1 has rank \(0\).

Complex multiplication

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

Modular form 4800.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 4 q^{11} - 7 q^{13} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display