Properties

Label 33600gq
Number of curves $1$
Conductor $33600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gq1")
 
E.isogeny_class()
 

Elliptic curves in class 33600gq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33600.ge1 33600gq1 \([0, 1, 0, -402913, 98373023]\) \(-1103770289367265/891813888\) \(-5844591496396800\) \([]\) \(437760\) \(1.9550\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33600gq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 33600gq do not have complex multiplication.

Modular form 33600.2.a.gq

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} + q^{9} - 2 q^{11} + 7 q^{13} + 7 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display