Properties

Label 156702.z
Number of curves $1$
Conductor $156702$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 156702.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
156702.z1 156702cb1 \([1, 0, 1, -10169, 402140]\) \(-48428932963369/1193647104\) \(-2865946696704\) \([]\) \(336000\) \(1.1753\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 156702.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 156702.z do not have complex multiplication.

Modular form 156702.2.a.z

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - q^{8} + q^{9} + q^{10} + 2 q^{11} + q^{12} - q^{13} - q^{15} + q^{16} - 3 q^{17} - q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display