Properties

Label 52800.v
Number of curves $1$
Conductor $52800$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 52800.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
52800.v1 52800ej1 \([0, -1, 0, -353, 2817]\) \(-1488770/99\) \(-324403200\) \([]\) \(15360\) \(0.38525\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 52800.v1 has rank \(2\).

Complex multiplication

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

Modular form 52800.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{7} + q^{9} - q^{11} - q^{13} - 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display