Properties

Label 1136.a
Number of curves $1$
Conductor $1136$
CM no
Rank $0$

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

Elliptic curves in class 1136.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1136.a1 1136d1 \([0, 0, 0, -42019, -3301598]\) \(2003092024307193/9529458688\) \(39032662786048\) \([]\) \(7776\) \(1.4572\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1136.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1136.a do not have complex multiplication.

Modular form 1136.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 2 q^{5} + 3 q^{7} + 6 q^{9} + 6 q^{11} - 5 q^{13} - 6 q^{15} + 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display