Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 116610p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116610.u1 116610p1 \([1, 1, 0, 39283, -2362329]\) \(39667394382128591/37419228281250\) \(-6323849579531250\) \([]\) \(1233792\) \(1.7191\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116610p1 has rank \(0\).

Complex multiplication

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

Modular form 116610.2.a.p

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