Properties

Label 32490f
Number of curves $1$
Conductor $32490$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 32490f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32490.k1 32490f1 \([1, -1, 0, -22269, 1289633]\) \(-347103233883/1562500\) \(-5497917187500\) \([]\) \(133632\) \(1.2965\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32490f1 has rank \(2\).

Complex multiplication

The elliptic curves in class 32490f do not have complex multiplication.

Modular form 32490.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - 5 q^{7} - q^{8} - q^{10} - 2 q^{11} - q^{13} + 5 q^{14} + q^{16} - 6 q^{17} + O(q^{20})\) Copy content Toggle raw display