Properties

Label 1132a
Number of curves $1$
Conductor $1132$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 1132a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1132.a1 1132a1 \([0, 1, 0, -5, 4]\) \(-1048576/283\) \(-4528\) \([]\) \(120\) \(-0.58223\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1132a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 1132a do not have complex multiplication.

Modular form 1132.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - 4 q^{5} - 3 q^{7} + q^{9} - 3 q^{11} - 5 q^{13} + 8 q^{15} - 2 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display