Properties

Label 405600.x
Number of curves $1$
Conductor $405600$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("x1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 405600.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.x1 405600x1 \([0, -1, 0, -123933, -16760043]\) \(-425920000/243\) \(-120106453708800\) \([]\) \(1969920\) \(1.6480\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600.x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 405600.x do not have complex multiplication.

Modular form 405600.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3q^{7} + q^{9} + 5q^{19} + O(q^{20})\)  Toggle raw display