Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 52800o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
52800.n1 52800o1 \([0, -1, 0, -12320833, -17201350463]\) \(-323194518662500/12784876137\) \(-8182320727680000000000\) \([]\) \(3793920\) \(2.9733\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 52800o1 has rank \(1\).

Complex multiplication

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

Modular form 52800.2.a.o

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