Properties

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

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 284592cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.cf1 284592cf1 \([0, -1, 0, 235184, -99264416]\) \(68782/243\) \(-5082491452865992704\) \([]\) \(4536000\) \(2.2723\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592cf1 has rank \(0\).

Complex multiplication

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

Modular form 284592.2.a.cf

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 4 q^{13} + q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display