Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 4800.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4800.g1 4800bx1 \([0, -1, 0, -1083, 102537]\) \(-5624320/177147\) \(-4428675000000\) \([]\) \(10560\) \(1.1070\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4800.g1 has rank \(1\).

Complex multiplication

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

Modular form 4800.2.a.g

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