Properties

Label 52920.j
Number of curves $1$
Conductor $52920$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 52920.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
52920.j1 52920g1 \([0, 0, 0, -80703, -9196173]\) \(-1568892672/78125\) \(-2894606583750000\) \([]\) \(290304\) \(1.7279\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 52920.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 52920.j do not have complex multiplication.

Modular form 52920.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{11} - 4 q^{13} + q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display