Properties

Label 116610h
Number of curves $1$
Conductor $116610$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 116610h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116610.a1 116610h1 \([1, 1, 0, -28798, -7646348]\) \(-1202276063628037/10764582912000\) \(-23649788657664000\) \([]\) \(1213056\) \(1.8244\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116610h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 116610h do not have complex multiplication.

Modular form 116610.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - 3 q^{7} - q^{8} + q^{9} + q^{10} + 3 q^{11} - q^{12} + 3 q^{14} + q^{15} + q^{16} + 6 q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display