Properties

Label 244800.fj
Number of curves $1$
Conductor $244800$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("fj1")
 
E.isogeny_class()
 

Elliptic curves in class 244800.fj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
244800.fj1 244800fj1 \([0, 0, 0, 57300, -4246000]\) \(55742968/53125\) \(-19828800000000000\) \([]\) \(1382400\) \(1.8143\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 244800.fj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 244800.fj do not have complex multiplication.

Modular form 244800.2.a.fj

sage: E.q_eigenform(10)
 
\(q - 2 q^{7} + 5 q^{13} + q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display