Properties

Label 136710.ec
Number of curves $1$
Conductor $136710$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ec1")
 
E.isogeny_class()
 

Elliptic curves in class 136710.ec

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
136710.ec1 136710bn1 \([1, -1, 1, -89753, -11667463]\) \(-932288503609/148800000\) \(-12761998804800000\) \([]\) \(950400\) \(1.8185\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 136710.ec1 has rank \(0\).

Complex multiplication

The elliptic curves in class 136710.ec do not have complex multiplication.

Modular form 136710.2.a.ec

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + q^{8} - q^{10} - 3 q^{11} + 2 q^{13} + q^{16} - 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display