Properties

Label 113288.a
Number of curves $1$
Conductor $113288$
CM no
Rank $0$

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

Elliptic curves in class 113288.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
113288.a1 113288t1 \([0, 0, 0, -99127, -11796113]\) \(48384\) \(2226372510540304\) \([]\) \(846720\) \(1.7352\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 113288.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 113288.a do not have complex multiplication.

Modular form 113288.2.a.a

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