Properties

Label 177744bt
Number of curves $1$
Conductor $177744$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 177744bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177744.z1 177744bt1 \([0, -1, 0, 14107, 507213]\) \(512000/483\) \(-292869465649152\) \([]\) \(422400\) \(1.4631\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177744bt1 has rank \(0\).

Complex multiplication

The elliptic curves in class 177744bt do not have complex multiplication.

Modular form 177744.2.a.bt

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} + q^{11} + 2 q^{13} - 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display