Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("1176.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1176.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1176.e1 1176f1 [0, 1, 0, -9, 27] [] 144 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1176.e1 has rank \(1\).

Modular form 1176.2.a.e

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