Properties

Label 287490.cw
Number of curves $1$
Conductor $287490$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cw1")
 
E.isogeny_class()
 

Elliptic curves in class 287490.cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
287490.cw1 287490cw1 \([1, 1, 1, 15715, 7843187]\) \(229012002719/14288400000\) \(-26778762032400000\) \([]\) \(3144960\) \(1.8318\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 287490.cw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 287490.cw do not have complex multiplication.

Modular form 287490.2.a.cw

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - q^{7} + q^{8} + q^{9} + q^{10} + 3 q^{11} - q^{12} + 3 q^{13} - q^{14} - q^{15} + q^{16} + 4 q^{17} + q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display