Properties

Label 133952by
Number of curves $1$
Conductor $133952$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("by1")
 
E.isogeny_class()
 

Elliptic curves in class 133952by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
133952.s1 133952by1 \([0, 1, 0, -14301, 583237]\) \(5054443262672896/591220696157\) \(37838124554048\) \([]\) \(595584\) \(1.3369\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 133952by1 has rank \(1\).

Complex multiplication

The elliptic curves in class 133952by do not have complex multiplication.

Modular form 133952.2.a.by

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