Properties

Label 143745y
Number of curves $1$
Conductor $143745$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 143745y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
143745.ba1 143745y1 \([1, 0, 1, -843, 9343]\) \(-1305751357/105\) \(-5318565\) \([]\) \(52416\) \(0.33628\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 143745y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 143745y do not have complex multiplication.

Modular form 143745.2.a.y

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} - q^{4} + q^{5} + q^{6} - q^{7} - 3 q^{8} + q^{9} + q^{10} + 3 q^{11} - q^{12} + 4 q^{13} - q^{14} + q^{15} - q^{16} - 5 q^{17} + q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display