Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 177744bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177744.k1 177744bl1 \([0, -1, 0, -774632, -260698704]\) \(160261033/1029\) \(330063887786594304\) \([]\) \(2543616\) \(2.1981\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177744bl1 has rank \(0\).

Complex multiplication

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

Modular form 177744.2.a.bl

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{7} + q^{9} + 2 q^{11} + 3 q^{15} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display