Properties

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

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

Elliptic curves in class 116242.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116242.a1 116242e1 \([1, -1, 0, 1216322, 331084432]\) \(4230070364747583/3456367146764\) \(-162607837478968679084\) \([]\) \(8743680\) \(2.5660\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116242.a1 has rank \(0\).

Complex multiplication

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

Modular form 116242.2.a.a

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