Properties

Label 176.c
Number of curves $1$
Conductor $176$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 176.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176.c1 176a1 \([0, 0, 0, -4, -4]\) \(-27648/11\) \(-2816\) \([]\) \(16\) \(-0.62921\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 176.c do not have complex multiplication.

Modular form 176.2.a.c

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 3 q^{5} + 2 q^{7} + 6 q^{9} + q^{11} - 9 q^{15} - 6 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display