Properties

Label 69366f
Number of curves $1$
Conductor $69366$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 69366f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69366.c1 69366f1 \([1, 1, 0, -88, 286]\) \(-76711450249/624294\) \(-624294\) \([]\) \(16416\) \(-0.060703\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69366f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 69366f do not have complex multiplication.

Modular form 69366.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + q^{10} + q^{11} - q^{12} + 6 q^{13} - q^{14} + q^{15} + q^{16} - 6 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display