Properties

Label 1176.d
Number of curves $1$
Conductor $1176$
CM no
Rank $1$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("1176.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1176.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1176.d1 1176a1 [0, -1, 0, -457, -10163] [] 1008 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1176.d1 has rank \(1\).

Modular form 1176.2.a.d

sage: E.q_eigenform(10)
 
\( q - q^{3} + 2q^{5} + q^{9} - 6q^{11} - 3q^{13} - 2q^{15} + 4q^{17} - 5q^{19} + O(q^{20}) \)