Properties

Label 132600ch
Number of curves $1$
Conductor $132600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("ch1")
 
E.isogeny_class()
 

Elliptic curves in class 132600ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
132600.k1 132600ch1 \([0, -1, 0, 25992, -960363]\) \(7767586344704/6060234375\) \(-1515058593750000\) \([]\) \(580608\) \(1.6009\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 132600ch1 has rank \(2\).

Complex multiplication

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

Modular form 132600.2.a.ch

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