Properties

Label 110946.k
Number of curves $1$
Conductor $110946$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 110946.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110946.k1 110946d1 \([1, 1, 0, -24409, 4087837]\) \(-201433/792\) \(-6324060781463832\) \([]\) \(743904\) \(1.7174\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110946.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 110946.k do not have complex multiplication.

Modular form 110946.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + 2 q^{5} + q^{6} - q^{8} + q^{9} - 2 q^{10} - q^{11} - q^{12} + 2 q^{13} - 2 q^{15} + q^{16} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display