Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 69366h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69366.j1 69366h1 \([1, 0, 1, -2350, -41032]\) \(1434371386041433/109683461448\) \(109683461448\) \([]\) \(71040\) \(0.86317\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69366h1 has rank \(1\).

Complex multiplication

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

Modular form 69366.2.a.h

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