Properties

Label 239343.h
Number of curves $1$
Conductor $239343$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 239343.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
239343.h1 239343h1 \([1, 0, 1, -3010387, -2014758163]\) \(-177648558047497/420960579\) \(-7149410531222360739\) \([]\) \(6829056\) \(2.4977\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 239343.h1 has rank \(0\).

Complex multiplication

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

Modular form 239343.2.a.h

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