Properties

Label 284592go
Number of curves $1$
Conductor $284592$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("go1")
 
E.isogeny_class()
 

Elliptic curves in class 284592go

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.go1 284592go1 \([0, 1, 0, -9427392, -11553249996]\) \(-260607143968297/11270993184\) \(-4007507336585097117696\) \([]\) \(24192000\) \(2.9109\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592go1 has rank \(1\).

Complex multiplication

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

Modular form 284592.2.a.go

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{5} + q^{9} + 6 q^{13} - 3 q^{15} - 5 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display