Properties

Label 287490.cd
Number of curves $1$
Conductor $287490$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 287490.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
287490.cd1 287490cd1 \([1, 1, 1, -117226, 109394423]\) \(-130134465938979721/3704400000000000\) \(-5071323600000000000\) \([]\) \(9266400\) \(2.2697\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 287490.cd1 has rank \(0\).

Complex multiplication

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

Modular form 287490.2.a.cd

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