Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 4800i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4800.y1 4800i1 \([0, -1, 0, 17, 37]\) \(12800/27\) \(-1080000\) \([]\) \(576\) \(-0.15799\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4800i1 has rank \(0\).

Complex multiplication

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

Modular form 4800.2.a.i

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