Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 116242.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116242.j1 116242c1 \([1, 0, 1, -7980046, 8736220096]\) \(-155679925959005140896625/1253504716655034368\) \(-452515202712467406848\) \([]\) \(4802400\) \(2.7911\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116242.j1 has rank \(0\).

Complex multiplication

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

Modular form 116242.2.a.j

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