Properties

Label 116242.f
Number of curves $1$
Conductor $116242$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 116242.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116242.f1 116242n1 \([1, 0, 1, 11, -6]\) \(463391/322\) \(-116242\) \([]\) \(21024\) \(-0.33950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116242.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 116242.f do not have complex multiplication.

Modular form 116242.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} - 2 q^{3} + q^{4} + 4 q^{5} + 2 q^{6} + q^{7} - q^{8} + q^{9} - 4 q^{10} - 2 q^{11} - 2 q^{12} - 2 q^{13} - q^{14} - 8 q^{15} + q^{16} + 7 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display