Properties

Label 284592ew
Number of curves $1$
Conductor $284592$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ew1")
 
E.isogeny_class()
 

Elliptic curves in class 284592ew

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.ew1 284592ew1 \([0, -1, 0, 282616, -319633488]\) \(24167/441\) \(-45554182651613712384\) \([]\) \(9732096\) \(2.4526\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592ew1 has rank \(0\).

Complex multiplication

The elliptic curves in class 284592ew do not have complex multiplication.

Modular form 284592.2.a.ew

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} + q^{9} - 7 q^{13} - 3 q^{15} - 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display