Properties

Label 178752bx
Number of curves 11
Conductor 178752178752
CM no
Rank 00

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bx1")
 
E.isogeny_class()
 

Elliptic curves in class 178752bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
178752.il1 178752bx1 [0,1,0,10715,308867][0, 1, 0, 10715, 308867] 70575104/6173170575104/61731 118990281424896-118990281424896 [][] 506880506880 1.38831.3883 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 178752bx1 has rank 00.

Complex multiplication

The elliptic curves in class 178752bx do not have complex multiplication.

Modular form 178752.2.a.bx

sage: E.q_eigenform(10)
 
q+q3+q5+q95q112q13+q15+q17q19+O(q20)q + q^{3} + q^{5} + q^{9} - 5 q^{11} - 2 q^{13} + q^{15} + q^{17} - q^{19} + O(q^{20}) Copy content Toggle raw display