Properties

Label 364560.cl
Number of curves $1$
Conductor $364560$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 364560.cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
364560.cl1 364560cl1 \([0, -1, 0, -159560, -27656208]\) \(-932288503609/148800000\) \(-71705277235200000\) \([]\) \(2851200\) \(1.9624\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 364560.cl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 364560.cl do not have complex multiplication.

Modular form 364560.2.a.cl

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} - 3 q^{11} + 2 q^{13} - q^{15} + 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display