Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 164730.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
164730.i1 164730df1 \([1, 1, 0, 983317, -312928113]\) \(15073437116231/14803256250\) \(-103263924936967256250\) \([]\) \(8616960\) \(2.5273\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 164730.i1 has rank \(0\).

Complex multiplication

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

Modular form 164730.2.a.i

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