Properties

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

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 4800.cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4800.cl1 4800be1 \([0, 1, 0, -4583, 117963]\) \(-425920000/243\) \(-6075000000\) \([]\) \(4800\) \(0.82362\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4800.cl1 has rank \(1\).

Complex multiplication

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

Modular form 4800.2.a.cl

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{7} + q^{9} - 5 q^{13} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display