Properties

Label 324870ce
Number of curves $1$
Conductor $324870$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ce1")
 
E.isogeny_class()
 

Elliptic curves in class 324870ce

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
324870.ce1 324870ce1 \([1, 0, 1, 187301, 13684766]\) \(6176736766011239/4260587175000\) \(-501253820551575000\) \([]\) \(5184000\) \(2.0849\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 324870ce1 has rank \(0\).

Complex multiplication

The elliptic curves in class 324870ce do not have complex multiplication.

Modular form 324870.2.a.ce

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