Properties

Label 2400.x
Number of curves $1$
Conductor $2400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 2400.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2400.x1 2400p1 \([0, 1, 0, -4333, 815963]\) \(-5624320/177147\) \(-283435200000000\) \([]\) \(10560\) \(1.4535\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2400.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2400.x do not have complex multiplication.

Modular form 2400.2.a.x

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