Properties

Label 70560.y
Number of curves $1$
Conductor $70560$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 70560.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70560.y1 70560cw1 \([0, 0, 0, -132888, -18664688]\) \(-738763264/875\) \(-307385777664000\) \([]\) \(276480\) \(1.6915\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70560.y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 70560.y do not have complex multiplication.

Modular form 70560.2.a.y

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