Properties

Label 705600.cz
Number of curves $1$
Conductor $705600$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cz1")
 
E.isogeny_class()
 

Elliptic curves in class 705600.cz

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.cz1 \([0, 0, 0, -6482700, -8168202000]\) \(-2646\) \(-11386798747785216000000\) \([]\) \(45158400\) \(2.9420\)

Rank

sage: E.rank()
 

The elliptic curve 705600.cz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 705600.cz do not have complex multiplication.

Modular form 705600.2.a.cz

sage: E.q_eigenform(10)
 
\(q - 5 q^{11} - 2 q^{13} + 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display