Properties

Label 405600w
Number of curves $1$
Conductor $405600$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 405600w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.w1 405600w1 \([0, -1, 0, -3098333, 2101202037]\) \(-425920000/243\) \(-1876663339200000000\) \([]\) \(9849600\) \(2.4527\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600w1 has rank \(1\).

Complex multiplication

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

Modular form 405600.2.a.w

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