Properties

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

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Show commands: SageMath
E = EllipticCurve("ja1")
 
E.isogeny_class()
 

Elliptic curves in class 284592.ja

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.ja1 284592ja1 \([0, 1, 0, -956545, 302480891]\) \(123904/21\) \(16404928871563271424\) \([]\) \(5677056\) \(2.4078\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592.ja1 has rank \(0\).

Complex multiplication

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

Modular form 284592.2.a.ja

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{9} + q^{15} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display