Properties

Label 132600q
Number of curves $1$
Conductor $132600$
CM no
Rank $1$

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

Elliptic curves in class 132600q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
132600.e1 132600q1 \([0, -1, 0, -499408, -282171188]\) \(-430468214044178/827032912875\) \(-26465053212000000000\) \([]\) \(3649536\) \(2.4166\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 132600q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 132600q do not have complex multiplication.

Modular form 132600.2.a.q

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