Properties

Label 164730.h
Number of curves $1$
Conductor $164730$
CM no
Rank $0$

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

Elliptic curves in class 164730.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
164730.h1 164730de1 \([1, 1, 0, -33963, 19384317]\) \(-51875959429369/1916338176000\) \(-160054480797696000\) \([]\) \(2363904\) \(1.9814\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 164730.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 164730.h do not have complex multiplication.

Modular form 164730.2.a.h

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