Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 116242.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116242.r1 116242v1 \([1, 1, 1, -910, 37623]\) \(-1771561/12236\) \(-575653399916\) \([]\) \(126720\) \(0.93983\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116242.r1 has rank \(0\).

Complex multiplication

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

Modular form 116242.2.a.r

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