Properties

Label 69366.q
Number of curves $1$
Conductor $69366$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 69366.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69366.q1 69366l1 \([1, 1, 1, -848, 9137]\) \(67443993402625/119864448\) \(119864448\) \([]\) \(44800\) \(0.44289\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69366.q1 has rank \(2\).

Complex multiplication

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

Modular form 69366.2.a.q

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} - 5 q^{7} + q^{8} + q^{9} - q^{11} - q^{12} - 2 q^{13} - 5 q^{14} + q^{16} - 3 q^{17} + q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display