Properties

Label 52800ca
Number of curves $1$
Conductor $52800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ca1")
 
E.isogeny_class()
 

Elliptic curves in class 52800ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
52800.p1 52800ca1 \([0, -1, 0, 1792, -23838]\) \(25442240/24057\) \(-601425000000\) \([]\) \(53760\) \(0.94737\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 52800ca1 has rank \(1\).

Complex multiplication

The elliptic curves in class 52800ca do not have complex multiplication.

Modular form 52800.2.a.ca

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