Properties

Label 239343b
Number of curves $1$
Conductor $239343$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 239343b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
239343.b1 239343b1 \([1, 1, 1, -8339, 290228]\) \(-177648558047497/420960579\) \(-151966769019\) \([]\) \(359424\) \(1.0255\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 239343b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 239343b do not have complex multiplication.

Modular form 239343.2.a.b

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