Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 4800p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4800.b1 4800p1 \([0, -1, 0, -933, 13437]\) \(-8780800/2187\) \(-22394880000\) \([]\) \(5376\) \(0.70395\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4800p1 has rank \(0\).

Complex multiplication

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

Modular form 4800.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} + 6 q^{11} + 3 q^{13} - 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display