Properties

Label 101080x
Number of curves $1$
Conductor $101080$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 101080x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101080.x1 101080x1 \([0, 0, 0, -148732, -22744444]\) \(-30211716096/1071875\) \(-12909389746400000\) \([]\) \(1710720\) \(1.8637\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101080x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 101080x do not have complex multiplication.

Modular form 101080.2.a.x

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{5} + q^{7} + 6 q^{9} - 5 q^{11} + 5 q^{13} + 3 q^{15} - 7 q^{17} + O(q^{20})\) Copy content Toggle raw display