Properties

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

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

Elliptic curves in class 113288a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
113288.u1 113288a1 \([0, 1, 0, -4720, 114337]\) \(12544\) \(927268850704\) \([]\) \(114816\) \(1.0397\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 113288a1 has rank \(1\).

Complex multiplication

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

Modular form 113288.2.a.a

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